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These days, innovation in nanostructures, which are distinguished by their exploratory use in a variety of biological applications, is a result of the advancement of nanotechnology. Over the last few decades, advances in nanoscience, nanotechnology, and thermal engineering have culminated in the multidisciplinary topic of nanofluid technology. Novel features found in nanofluids have the potential to be applied in a wide range of fields, including biotechnology, information technology, food and agriculture, national security and defense, aerospace, the plastics and textile industries, energy and the environment, cosmetics, and health and medicine. In this analysis, energy and mass transport rate of nanoliquid with micro-rotation impacts have been discussed. Furthermore, Soret impact, radiations, and stagnation motion are discussed in detail. The boundary layer equations are converted into (ODE’s) ordinary differential equations and elucidated the results numerically employing the Keller box technique. We established the enhancement in the temperature profile against the growth of thermal radiation parameter. Further, the increment in Soret factor presents concentration profile increases. The impact of Brownian motion on nanoparticles enhanced the temperature profile. This study will help to control the cooling process in industry and engineering applications.

The ferromagnetic flow of Maxwell nanoliquid past a stretching surface is the focus of this endeavor. The flow is modeled in a porous medium obeying Darcy’s law and is also subjected to the effects of magnetic dipole, nonlinear radiative heat flux, and activation energy. Using proper transformation, the governing system of partial differential equations (PDEs) transforms into ordinary differential equations (ODEs). The solution process employs a shooting approach. For nanofluid concentration, temperature, velocity, skin fraction, Sherwood number, and Nusselt number, the effects of relevant non-dimensional flow parameters and numbers are explored. The results show that the porosity, elastic, and ferromagnetic parameters all reduce nanofluid velocity. The nanofluid temperature drops as the ferromagnetic and Prandtl numbers increase, while the nanofluid temperature rises to enhance the temperature ratio and radiative heat parameters. The nanofluid concentration profile rises due to the non-dimensional activation energy and falls as the Schmidt number increases.

•Rotating transport of Falkner-Skan flow is examined via EPA scheme.•A hybrid evolutionary algorithm and Nelder-Mead direct search algorithm are employed.•The EPA scheme was able to minimize the residuals up to.•Angular velocity shows inverse behavior with respect to power law index.•The EPA scheme is compared with a hybrid neural network scheme.

This research investigates on the heat transfer and flow characteristics of nanofluid and hybrid nanofluid over a melting stretching/shrinking surface. The present study is inspired by the impactful application of hybrid nanofluid in industrial processes such as casting and welding. Specifically, the behavior of water-based hybrid nanofluid containing alumina oxide and Cu nanoparticles is analyzed, while influences of magnetohydrodynamics and thermal radiation are considered. Employing the Keller Box method, the governing equations are numerically solved. A comparison between the hybrid and alumina oxide/water-based nanofluid is presented. Key parameters, including the melting, stretching/shrinking factors, magnetic influences, Nusselt number, and skin friction are examined and presented through graphical and tabular representations. The findings underscore the enhanced heat transfer efficiency exhibited by hybrid nanofluid relative to regular nanofluid. It is observed that the heat transfer rate decreases with an increase in the melting parameter and is inversely impacted by the stretching/shrinking parameters. This research provides insights into the heat transfer behaviors in hybrid and regular nanofluid across melting boundaries, useful for their practical applications.

The study of variety of Newtonian nanofluids subject to various physical model parameters gained much interest of engineers and scientists. Owing to their coolant and absorption characteristics, these are broadly found in chemical engineering, biomedical engineering (expansion and contraction of veins and arteries), detection of cancer cells through magnetic nanoparticles, microchips, and particularly in petroleum industry. This study focuses on investigation of nanofluid heat transfer applications inside a channel formed by expanding/contracting walls. A new heat transport model is introduced by adding the effects of nanoparticles and molecular diameters, thermal radiations, and walls permeability. Then, numerical code for the model is developed and executed to analyze the dynamics of the model from physical aspects. For expanding (${\alpha }_1 = 1.0,2.0,3.0,4.0$) and contracting (${\alpha }_1 = - 1.0, - 2.0, - 3.0, - 4.0$) walls, the velocity is examined maximum in the channel center. However, the fluid movement in the working domain is in reverse proportion for ${Re} = 1.0,3.0,5.0,7.0$. Further, high absorbent walls (${A}_1 = 0.1,0.3,0.5,0.7$) controlled the motion for both ${\alpha }_1 > 0$and ${\alpha }_1 < 0$, respectively. The addition of thermal radiation number ${Rd} = 0.1,0.3,0.5,0.7$played the role of catalytic parameter which imperatively increased the fluid temperature. Further, contracting walls and temperature ratio number ${\theta }_r = 0.1,0.3,0.5,0.7$reduced the temperature and this decrease is rapid in conventional fluid.Graphical Abstract

The current research paper investigates semi numerical study of steady incompressible viscous two-dimension, boundary layer flow for hybrid nanofluids with the influence of viscous dissipation and dynamic viscosity. The three types of nanoparticles (TiO2,Ag,GO) are considered, and engine oil is taken as a base fluid. To convert a collection of PDEs to nonlinear ODEs, we applied appropriate transformations. The authors used the Homotopy analysis approach (HAM) to solve this set of equations. The influence of different parameters on temperature, and velocity is intended, and the results are planned with the help of graphs, involving the magnetic field, nanoparticle volume concentration, dynamic viscosity, Eckert’s number, and Prandtl’s number. From the current analysis, we see that the magnetic field, nanoparticle volume concentration, and dynamic viscosity are inversely related to the velocity field; similarly, the Prandtl number is inversely related to the temperature field, and the Eckert number is directly related to the temperature profile. A physical description is used to simulate and evaluate the structures of flow features such as temperature and velocity profiles in response to changes in developing factors.

The utilization of viscoelastic fluid is prevalent in various industries such as medical sector, food, petrochemical, and polymer due to its ability to reduce turbulent drag, exhibit elastic turbulence, and other notable characteristics. This aspect has consistently captured the attention of researchers. In the present study, the aim is to report the results associated with the Couette flow of viscoelastic rotating dusty nanofluids between rotating porous plates. Furthermore, in the present study, transformer oil is used as a base fluid, because to its numerous applications in power engineering and industrial sciences. Transformers are one of the crucial elements that requires high-level condition monitoring to ensure continuous power supply. Therefore, an effort is made to improve the critical features of the transformer oil by suspending nanodiamond and aluminum oxide nanoparticles, because the creation of transformer oil with desirable dielectric and thermal properties is in high demand due to its essential role in development. The governing equations for the above flow regime is modeled and formulated in terms of partial differential equations. A definite method (Poincare Light-Hill technique) is then used to solve the non-dimensional partial differential equations. The impact of different parameters on the temperature and velocity profiles are shown graphically. Nusselt number and Skin friction are computed and tabulated. The nanofluid velocity is observed to decline with raising suction parameter and magnetic field. It is noteworthy that the transformer oil’s heat transfer rate is improved by 27.58%for Al2O3nanoparticles and 31.27%for nanodiamond particles, when the Al2O3and nanodiamond nanoparticles volume fraction is raised from 0.01to 0.04. This study has a wide range of applications in industrial science and engineering. This study also provides that how the nanofluids are using as a cooling agent.

Alloys AA7072and AA7075are significant with thermal, physical, and mechanical characteristics; these are extensively used in manufacturing of spacecraft, aircraft parts. and bio nanoscience applications. The main interest of the present work is numerical and analytical investigation of heat transfer in MHD Jeffery-Hamel flow of a hybrid nanofluid with nanoparticle shapes (i.e., spherical, cylinder, and platelet) and mixture base fluid (H2O-C2H6O2(50%-50%)). Hybrid nanofluid containing alloys AA7072and AA7075as the nanoparticles is considered. The solution of the studied problem has been presented using a new analytical method (Daftardar-Jafari method). The obtained results in particular cases are compared to those gained by the HAM-based Mathematica package BVPh 2 and by the Runge–Kutta-Fehlberg 4th–5th order (RKF-45) for validation. The effect of diverse parameters for instance is as follows: external magnetic field Ha∈0-500, Reynolds number Re∈50-150, opening of the channel α∈±2∘-±6∘, hybrid nanoparticles φAA7072+AA7075∈0-6%, Hartmann number Ha∈0-150, and nanoparticle shapes (i.e., spherical, cylinder, and platelet) on dimensionless velocity and temperature profiles, as well as on the behavior of skin friction coefficient and Nusselt number. The results indicate that the skin friction coefficient and Nusselt numbers decrease with the increasing nanoparticle shapes. In addition, the study’s findings were found to be in exceptional agreement with existing literature results.

The current research paper investigates analytical study of steady incompressible viscous two-dimension, couple stress boundary layer flow for hybrid nanofluids with the influence of viscous dissipation and thermal radiation. The three types of nanoparticles (TiO2,Ag,GO) are considered and engine oil is taken as base fluid. We used the proper transformations to change a set of PDEs into nonlinear ODEs. The authors solved this set of equations using the homotopy analysis approach (HAM). The results are planned with the aid of graphs involving the magnetic field, nanoparticle volume concentration, couple stress parameter, Eckert number, thermal radiation parameter, and Prandtl number. The influence of various temperature and velocity parameters is intended. The structures of flow features, such as temperature and velocity profiles, are simulated and evaluated using a physical description in response to changes in developing factors.

This article aims to discover the double diffusive convection in TiO2-Cu/Water hybrid nanofluid. The impacts of heat generation and chemical reactions are also considered in the presence of a magnetic field. A collection of hybrid nanofluids of titanium oxide (TiO2) and copper (Cu) with a nanoparticle volume fraction (ϕ)of size equal to 0.05 is taken. The governing equations of the infinite vertical plate flow model, the non-dimensional governing equations, were solved by the explicit finite difference approach of the Dufort-Frankel method, which is employed numerically in MATLAB. To illustrate the main features of the solution, numerical calculators and graphs are used to illustrate the characteristics of fluid stream velocity, heat, and mass transfer under dissimilar parametric values. The primary findings and significance of this study indicates that Skin friction increases with increasing values of mass Grashof number, thermal Grashof number, and thermal radiation, while its intensifications decline with increasing values of magnetic field and Schmidt number. This study also discusses the limitations and challenges of utilizing hybrid nanofluids in practical applications, providing valuable insights for effective decision-making.

Entropy analysis in nano as well as conventional fluids is of paramount interest and highly affected by the active physical quantities. The research provides comprehensive comparative entropy performance of multiple nanofluids in the view of model quantities. The physical model considered in the presence of solar radiations, dissipation energy and magnetic field. The multiple fluids squeezed in a channel formed by two horizontal sheets with upper non-stationary surface. The entropy modeling performed using similarity variables for transient flow and governing laws. The numerical approach (RK method coupled with shooting scheme) is used for entropy results which obtained for ternary, hybrid, nano and base fluids. It is found that entropy optimized in ternary nanofluid while hybrid, nano and common fluids caused reduction in it. Dissipation effects (Ec=0.1,0.3,0.5,0.7) increases the entropy while significant reduction is observed for Ω1=0.1,0.2,0.3,0.4. The solar radiations in the range of Rd=1.0to Rd=7.0contributes effectively to improve entropy phenomena in both inward and outward plate movement. Thus, the system can be maintained at low entropy by strengthening the effects of Ω1and optimum entropy is subject to Eckert number, α=0.1,0.2,0.3,0.4, radiations (Rd=1.0,3.0,5.0,7.0) for S>0.0and S<0.0, respectively.

The aim of current paper is to explore the dynamics of Tangent hyperbolic hybrid nanofluid flow and heat transfer over a stretchy surface, combined effect of thermal radiation and Cattaneo-Christov heat flux effects also incorporated in the energy equation. Hybrid nanofluids are advanced class of nanofluid have several engineering applications due to their enhanced thermal, electrical, and rheological properties. Here we developed a mathematical model for two-dimensional hybrid nanofluid containing particles copper (Cu)and alumina oxide (Al2O3)suspended with base fluid H2O. Variable viscosity and viscous dissipation aspect also amalgamated in the present study. After applying the dimensionless variables, the governing PDE's are converted into ODE's. The numerical computations are performed with the help of MATLAB software. The most important outcomes predefined pertinent parameters like magnetic parameter, Weissenberg number, relaxation time, thermal radiation parameter, prosperity parameter, convective parameter, Prandtl number, heat source parameter, Eckert number, on velocity and temperature profile are thoroughly examined graphically and physically. There occur increment in the temperature profile of hybrid nanofluid than regular nanofluid. Also over current outcomes shows close agreement for a particular cases.

The CNTs is an interesting nanomaterials which attained much attention of the researchers. The unique structure of SWCNTs highly alter the performance of fluids saturated by SWCNTs. The base fluid's thermal conductivity enhanced via SWCNTs TCM having 3μm≤L≤70μmand 10.0nm≤d≤40.0nmwhere R=d2is the radius. Hence, the current attempt focuses on the performance of [(C2H6O2-H2O) 50:50%]/SWCNTs under additional influences of the constraints. The setup is considered through spherical surface with special emphasize on the solar radiation effects. The model nanofluid model developed, investigated numerically and spotlight the key results with comprehensive discussion. It is examined that the velocity increased by optimizing the unsteadiness (A=0.1,0.2,0.3,0.4) in the fluid while the SWCNTs concentration (ϕ=0.01,0.02,0.03,0.04) resist the motion due to considerable viscous and density effects. The significant increase in the thermal behavior is observed for solar radiations (Rd=0.1,0.2,0.3,0.4) when the concentration is taken up to 0.04. These factors would help to acquire the desired temperature by minimizing the SWCNTs amount. The SF enlarges for larger rotational number while rate of thermal rate augmented for more unsteady flow.

Analysis of Buongiorno nanofluid in a thermally radiated channel in the occurrence of microbes is an enrich research motive. Thermal radiations, dissipation energy, transient effects and upstream microbial acceleration potentially alter the performance of Buongiorno nanofluid. This is a two phase nanofluid model which accommodates the thermophoretic and Brownian movement of the particles along with other integrated physical quantities. Hence, the current research aims to conduct the study of Buongiorno nanofluid in a slanted thermally radiated micro channel in the presence of aforementioned physical phenomenon. The outcomes of the model achieved numerically and discussed deeply. It is investigated that the unsteady and channel revolving parameters enhances the nanofluid movement while adjusting the channel at different inclination also favors the velocity. The velocity G(η)upsurges for larger rotation of the channel while it drops for more transient fluid. Further, the thermophoretic and particles deposition boosts the thermal performance of the setup while thermal radiations depreciated the efficiency. The Schmidt effects in the range of 1.0–7.0 highly contributes in the improvement of mass transport. Moreover, density motile of microbes improved for Lewis and transient effects while Peclet effects are examined excellent to control the microbial influence.

Riga plate is a new, sophisticated magnetic field device that may be created by adjusting a group of permanent magnets and a different electrode over a plane surface. The heat transport and fluid movement in such physical setup are of paramount interest and have numerous engineering and industrial application particularly in submarines technologies. Due to the fixed magnetics the field produced which imperatively affect the model dynamics. Keeping in mind the influential applications of such physical setup, the purpose of this study is to introduce a new model based scrutinization of heat transport of stagnation point flow of Al2O3/water along vertically oriented convectively heated Riga surface. The conventional stagnation point flow model extended for nanofluid via radiative heat flux, dissipation effects and the first order thermal slip. The values of thermal conductivity values estimated via Corcione model and achieved the final nanoliquid model. For the results interpretation, the numerical scheme used and portrayed the results using different parametric ranges. The fluid motion is observed very slow due to stronger mixed convection and higher concentration of Al2O3 nanoparticles. The temperature is determined very high against the stronger convection effects and radiation number. However, the fluid layers in the vicinity of Riga surface have high heat transmission ability. Further, thermal slip and viscous dissipation effects also boost the temperature of Al2O3/water. Further, buoyancy number δ resists the fluid movement and thermal boundary region reduces in the presence of buoyancy factor.

This research aims to enhance industrial processes and address environmental issues by studying the effects of suction and injection on the Couette flow of a viscoelastic dusty fluid over a porous oscillating plate in a rotating frame. We investigate how these factors influence fluid flow, heat, mass, and temperature transfer rates. Suction and blowing are common techniques for controlling fluid flow in conduits. The study considers the impact of the right plate's oscillation on fluid velocity along the x‐axis, as well as mass diffusion and thermal effects from the heating of the right plate. Due to the rotation, the velocities of both the fluid and dust particles exhibit complex primary and secondary behaviors. Also considered the dust particles are homogenously distributed in the base fluid. Furthermore, the variable temperature and concentration are associated with boundary conditions. We develop a mathematical model using partial differential equations (PDEs) to describe these phenomena. The governing equations are non‐dimensionalized and transformed into ordinary differential equations (ODEs) using periodic solutions and solved via the Poincare‐Lighthill perturbation method. Key engineering parameters such as the Sherwood number, Nusselt number, and skin friction are calculated. The study reveals the influence of uniform suction/injection on velocity and temperature distributions, showing that suction can significantly alter boundary layer development, even under resonance conditions. The radiation parameter, Grashof number, and second‐grade parameter cause a decrease in skin friction as their values increase. On the other hand, suction, rotation, magnetic, dusty fluid, and Reynold numbers cause a rise in skin friction. The objective of this research is to improve industrial processes and tackle environmental issues by examining the effects of suction and injection on the Couette flow of a viscoelastic dusty fluid over a porous oscillation plate in a rotating frame. The purpose of this study is to determine how suction/injection influences the Couette flow of a viscoelastic dusty fluid, as well as the heat, mass, and temperature transfer rates across a porous, oscillating plate in a rotating frame. It also takes heat transfer into account. When manipulating the flow of a fluid via a conduit, suction and blowing are common methods. As the right plate oscillates, the x‐axis becomes the primary consideration for fluid velocity. We also take into account the mass diffusion and thermal influence on the flow from the right plate's heating. As a consequence of the spin, the fluid, and dust particles have velocities that are both secondary and primary, making them complicated. Using PDEs, we may translate the aforementioned physical phenomena into a mathematical model of the relevant flow regime. The system of governing equations is non‐dimensionalized by the use of appropriate nondimensional variables. The system of PDEs is transformed into a system of ODEs with the help of assumed periodic solutions and then solved by the perturb solution with the help of Poincare‐Lighthill perturbation methods. We also calculate the Sherwood number, the Nusselt number, and the skin friction, all of which are of relevance to engineers. We also examine how changing these variables affects the velocity distributions of skin friction, viscoelastic fluid, and dust particles. We look at how uniform suction/injection affects the speed and temperature distributions. It is important to note that even in the resonance instance, suction/ injection directs the boundary layer to develop unexpectedly.

Increasing the efficiency of a thermal system is important in a wide variety of technological contexts, such as vehicle cooling systems, power production, microelectronics, heat exchangers, and air conditioning. The current study examines a boundary layer two‐dimensional inclined magnetohydrodynamic flow of a ternary hybrid nanofluid across a stretching sheet that includes MgO,TiO2,andCoFe2O4${\mathrm{MgO}}, {\mathrm{TiO}}_{\mathrm{2}}, {\mathrm{and}}\ {\mathrm{CoFe}}_{\mathrm{2}}{{\mathrm{O}}}_{\mathrm{4}}$nanoparticles. These nanoparticles are combined with water as the base fluid to form a ternary hybrid nanofluid. The present work aims to analyze the impact of several slip conditions utilizing Arrhenius' activation energy along with the binary chemical reaction on the flow profiles. To characterize the model, a system of partial differential equations (PDEs) is utilized. With the assistance of similarity transformations, the given PDEs of the form are converted into ordinary differential equations. The leading equations are subjected to boundary layer theory, and then the system is numerically tackled with the help of the built‐in numerical approach bvp4c. Results obtained from this numerical solution are presented in graphs and tables which are discussed briefly. The results indicate that there is a downward trend in the velocity profile if the enhancement occurs in both the velocity slip and the magnetic component. A lower temperature is achieved through the use of the temperature slip parameters. In addition, it turned out that a rise in the Eckert number caused an upswing in the surface temperature of a sheet. The activation energy escalates the concentration profile, while the Schmidt number and chemical reaction rate both are falls. The Sherwood number improved when the values of Brownian motion and thermophoresis factors enlarged while the local Nusselt number became lower.

The current research explores the useful impact of artificial neural networks (ANN) back-propagation along Levenberg-Marquardt Method (ANN-BLMM), for findng the influence of dimensionless numbers on the flow distribution pertaining magnetohydrodynamics (MHD) Jeffery–Hamel fluid amid two plates which are enclined at angles 2α. We have employed a numerical approach, ANN-BLMM to assess various aspects of our data, including testing, training, validation, Mean Square Errors (MSE), performance, and fitting. The methodology being used has been tested and validated through comparison with other results obtain numerically, showing extreme level of accuracy. Moreover, we have confirmed our findings through error histograms and regression tests. We used OHAM for the data set. Furthermore, we have also explored the influence of Reynolds number (R) on both flow and pressure distribution, visually representing our findings through graphical analysis. We have discussed about the nature and variations of velocity profiles within MHD Jefery–Hamel flow (MHDJHF), taking into account various values of Ha and Rein both convergent and divergent channels. It was discovered that a significant stabilizing influence of an increase in the magnetic field intensity was observed for both diverging and converging channel geometries and as the Hartman numbers rise, so does the fluid velocity. The absolute error is reduced to 10–2to 10–6.

The residential sector of Pakistan is a prime consumer of energy. With the fossil fuel-dependent energy generation setup and an increasing energy supply–demand gap, Pakistan is headed towards an energy fiasco. Therefore, drastic measures are required to enhance the energy efficiency of residential buildings in Pakistan. The current study is aimed to numerically investigate the energy performance enhancement of residential buildings by integrating Phase Change Materials (PCM) in the building envelopes of five major cities of Pakistan having different climates. The numerical computations are carried out in open-source building-simulation software, EnergyPlus. Initially, fifteen suitable PCMs are evaluated for a single-room base case house. CrodaTherm24 having a melting temperature of 24 °C with a thickness of 40 mm is found to be the optimum PCM choice when it is placed on the inner sides of building envelopes. It is then integrated into typical single-Storey and two-Storey multi-zone residential buildings. For a single-Storey building, the average monthly energy saving of 44.9% is achieved in Islamabad, 35% in Karachi, 32% in Lahore, 35% in Peshawar, and 49.6% in Quetta while for two-Storey buildings the average monthly energy saving of 12%, 21.4%, 15.5%, 12.9%, and 13.5% are achieved, respectively. The economic feasibility of implementing PCM in building envelopes is evaluated through static and dynamic payback period calculations. The usage of PCM for energy efficiency enhancements of residential buildings is found to be economically feasible for Lahore, Karachi, and Peshawar whereas, it is unsuitable for Islamabad and Quetta.

The current investigation formulated an efficient computing technique by incorporating the algorithm of Artificial Neural Network Levenberg Marquardt Method (ANNLMM) to approximate Soret and Dufour effects on Magnetohydrodynamic squeezing flow of Jeffrey fluid (MHDSFJF) in MATLAB environment. Due to its efficiency and flexibility, the applied neural network model can accurately predict the output results. In the ANNLMM, 80% of the data is used for training and 10% is set for both the testing and validation processes. The flow under consideration is mathematically formulated with the help of Navier Stokes Equations. The partial differential equations (PDEs) are converted into ordinary differential equations (ODEs) by similarity variables. The effects of the physical parameters are discussed briefly. When the Hartmann number and Jeffrey fluid parameter increase, the concentration, temperature, and velocity profiles decreases. The temperature profile and heat transfer rate are improved by the effects of joule dissipation, Dufour numbers, and heat generation/absorption. On the other hand, as thermal radiation rises, the temperature profile decreases and the heat transfer rate increases. With an augment in Soret number, the mass transfer rate increases and the concentration profile slows down. Additionally, increasing chemical reactions, the mass transfer rate increases, but in convective chemical reactions, the contradiction is observed.

•Hybrid nanofluid flow upon a convectively-warmed moving wedge is studied.•For first time, mass-based hybrid nanofluid model is applied for entropy generation analysis.•Spherical and non-spherical (brick, cylinder, platelet…) shapes of nanoparticles considered.•Results display an excellent agreement with former existing reports.•Reliable treatment of mass-based model for entropy analysis is a substantial achievement.

The effects of a chemical reaction and radiative heat flux in a nonlinear mixed thermo-solutal convection flow of a viscoelastic nanoliquid from a stretchable surface are investigated theoretically. Newtonian heating is also considered. The upper-convected Maxwell (UCM) model is deployed to represent the non-Newtonian characteristics. The model also includes the influence of thermal radiation that is simulated viaan algebraic flux model. Buongiorno’s two-component nanofluid model is implemented for thermophoretic and Brownian motion effects. Convective thermal and solutal boundary conditions are utilized to provide a more comprehensive evaluation of temperature and concentration distributions. Dimensionless equations are used to create the flow model by utilizing the appropriate parameters. The computed models are presented through a convergent homotopic analysis method (HAM) approach with the help of Mathematica-12 symbolic software. Authentication of HAM solutions with special cases from the literature is presented. The impact of various thermophysical, nanoscale and rheological parameters on transport characteristics is visualized graphically and interpreted in detail. Temperatures are strongly enhanced with Brownian motion and thermophoresis parameters. Velocity is boosted with the increment in the Deborah viscoelastic number and mixed convection parameter, and the hydrodynamic boundary layer thickness is reduced. A stronger generative chemical reaction enhances concentration magnitudes, whereas an increment in the destructive chemical reaction reduces them and also depletes the concentration boundary layer thickness. Temperature and concentration are also strongly modified by the conjugate thermal and solutal parameters. Greater radiative flux also enhances the thermal boundary layer thickness. Increasing the Schmidt number and the Brownian motion parameter diminish the concentration values, whereas they elevate the Sherwood number magnitudes, i.e.enhance the nanoparticle mass transfer rate to the wall.

Purpose: The purpose of this study is to find the multiple branches of the three-dimensional flow of Cu-Al2 O3/water rotating hybrid nanofluid perfusing a porous medium over the stretching/shrinking surface. The extended model of Darcy due to Forchheimer and Brinkman has been considered to make the hybrid nanofluid model over the pores by considering the porosity and permeability effects. Design/methodology/approach: The Tiwari and Das model with the thermophysical properties of spherical particles for efficient dynamic viscosity of the nanoparticle is used. The linear similarity transformations are applied to convert the partial differential equations into ordinary differential equations (ODEs). The system of governing ODEs is solved by using the three-stage Lobatto IIIa scheme in MATLAB for evolving parameters. Findings: The system of governing ODEs produces dual branches. A unique stable branch is identified with help of stability analysis. The reduced heat transfer rate has been shown to increase with the reduced ϕ2 in both branches. Further, results revealed that the presence of multiple branches depends on the ranges of porosity, suction and stretching/shrinking parameters for the particular value of the rotating parameter. Originality/value: Dual branches of the three-dimensional flow of Cu-Al2 O3/water rotating hybrid nanofluid have been found. Therefore, stability analysis of the branches is also conducted to know which branch is appropriate for the practical applications. To the best of the authors' knowledge, this research is novel and there is no previously published work relevant to the present study. [ABSTRACT FROM AUTHOR]

This paper presents a novel supervised machine learning-based electric theft detection approach using the feature engineered-CatBoost algorithm in conjunction with the SMOTETomek algorithm. Contrary to the previous literature, where the missing observations in data are either ignored or imputed with average values, this work utilizes k-Nearest neighbor technique for missing data imputation; thus, an accurate and realistic estimation of the missing data is achieved. To mitigate the biasness to the majority data class, the proposed model utilizes the SMOTETomek algorithm, which neutralizes the mentioned effect by managing a proper balance between over-sampling and under-sampling techniques. Feature Extraction and Scalable Hypothesis (FRESH) algorithm is utilized at the later stage of the proposed NTL detection framework to extract and select the most relevant data features from the provided dataset. Afterward, the model is trained using the CatBoost algorithm to classify the consumers into two distinct categories, i.e., genuine and theft. Finally, to interpret the model’s decision for the corresponding predictions, the tree-SHAP algorithm is utilized. To validate the efficacy of the proposed ML based theft detection approach, its performance is compared with that of the traditional gradient boosting ML algorithms such as XGBoost, lightGBM, Ensemble bagging, boosting ML models, and other conventional ML models using five of the most widely used performance metrics, i.e., precision, accuracy, F1score Kappa and MCC. The proposed technique achieved an accuracy of 93% and a detection rate of 92%, which is significantly higher than all the considered competing algorithms under identical dataset and hyperparameters.

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This article highlights the natural convection nanofluids flow of in an upright channel undergoing chemical reaction and heat absorption. Five different nanoparticles such as titanium oxide (TiO2), aluminum oxide (Al2O3), copper oxide (CuO), copper (Cu) and silver (Ag) are considered in the analysis in water-based nanofluids. The problem is formulated in the form of partial differential equations. The precise results for the non-dimensional nanofluid concentration, temperature and velocity profiles, and the corresponding Sherwood numbers, Nusselt numbers and skin friction are derived in the form of rapid convergent series via the Laplace and finite sine-Fourier transforms. The comparison of nanofluids with water as base fluid added with five different nanoparticles is drawn and the effects of volume fraction of nanoparticles and diverse physical parameters for specified ranges, such as. 0.01≤φ≤0.05,0.5≤Sc≤2.0,0.5×10−6≤kc≤1.7×10−6,0.5≤Pr≤2.7,5≤Q≤50,7≤Grc≤16,6≤Grt≤15,on concentration, temperature and velocity fields are graphically underlined and discussed in details. We conclude that Ag-water has higher temperature due to higher thermal conductivity of Ag particles as compare to other nanoparticles Cu, TiO2, Al2O3 and CuO, while Al2O3-water has greater velocity than other nanofluids due to less density of Al2O3. Further, the expressions of skin friction, Sherwood numbers and Nusselt numbers are resolved on left plate and right plate of vertical channel and numerically expressed in tabular forms. Furthermore, it is originated that the heat transport rate enhances with increasing nanoparticle volume fraction.

•Newtonian heating and ramped velocity conditions are applied for a Jeffery fluid.•The Caputo-Fabrizio time-derivative is used to construct the fractional model.•The fractional parameter leads to decrease the velocity and temperature of the fluid.•The flow velocity is higher for an isothermal plate as compared to ramped plate.•The magnetic field and fractional parameter effectively control the shear stress.

This theoretical study explores MHD convection flow confined to an unbounded vertical plate embedded in a permeable surface under the effect of heat generation and ramp temperature. Solutions of concentration, temperature, and velocity profiles are derived symmetrically by applying non-dimensional parameters along with Laplace transformation (LT) and numerical inversion algorithm. The graphical results for different physical constraints are produced for the velocity profiles. Our results suggest that an incremental value of the Mis observed for a decrease in the velocity field, which reflects to control resistive force. Additionally, Atangana-Baleanu (ABC) model is good to explain the dynamics of fluid with better memory effect as compared to other fractional operators.

The present examination is centered around the transfer of heat for the flow of a boundary layer free convective incompressible fluid, past a stretching porous surface, assuming viscosity dependent on temperature linearly along with heat source and sink with imposed magnetic field. Lie group similarity transformation is used to obtain the symmetric graphs of the given problem. Solutions for velocity and heat profile are encountered numerically with fourth-order Runga-Kutta shooting technique and graphically presented and explained the impact on velocity profile and temperature profile of several physical parameters as temperature-dependent parameter of viscosity A, k1as parameter of permeability, Prandtl number, λas parameter of heat generation and absorption and Mas parameter of magnetic field. We observed that the thermal boundary layer thickness can be reduced by increasing viscosity parameter A and heat sink parameterλ. As we give increment in k1we find a decrement in the horizontal velocity profile, which leads to the enhanced deceleration of the flow and, hence, the velocity decreases.

Present article aims to discuss the characteristics of Casson type nanofluid maintained to flow through porous medium over non-linear stretching surface in the perspective of heat and mass transfer developments. A Casson type incompressible viscous nanofluid passes through the given porous medium via Darcy-Forchheimer relation. Slip boundary conditions are used for velocity, temperature and concentration of the nanoparticles. Brownian diffusion and thermophoresis is attended. An induced magnetic field effect is involved to accentuate the thermo-physical characteristics of the nanofluid. The model incorporates boundary layer formulations and small magnetic Reynolds for practical validity. A fourth order Runge-Kutta (RK) scheme is enforced to solve the system numerically. Graphs are prepared for various progressive values of non-dimensionalized parameters whereas; variation in wall drag factor, heat and mass transfer rates is analyzed through numerical data. Results indicate that momentum boundary layer reduces for stronger inertial impact and the resistance offered by the porous media to the fluid flow. Temperature is found as a progressive function for the Brownian motion factor and thermophoresis. The magnitude of wall drag factor, heat transfer and mass transfer rates shows reduction for progressive values of slip parameters.

In this exploration, transportation of heat along with homogeneous–heterogeneous reactions for the peristaltic transport phenomenon by considering Ellis fluid model is reported in a symmetric channel comprising compliant walls. Using low Reynolds number and long wavelength assumptions, the governing system of equations of fluid transport problem is abridged and solved using the perturbation technique. The skin friction coefficient and Nusselt number are also incorporated in this contemplation. Particular attention is given to elastic parameters and Brinkman number and plotted their graphs for temperature, concentration, and velocity distribution. Results are deliberated in detail for the various non-Newtonian and Newtonian models. It is initiated that velocity distribution is enhanced for higher values of elastic parameters, which is because less resistance occurs at the channel walls. Relatively reverse comportment is portrayed in the case of concentration profile. The impact of heterogeneous and homogeneous reactions shows reverse bearing on the concentration field. It is comprehended that Brinkman number is an increasing function of viscous dissipation effects, which contribute to enhancing the temperature field for Newtonian and non-Newtonian cases. Moreover, augmentation in skin friction is noticed by escalating the parametric values of damping and rigidity. It is worth mentioning that, fluid velocity grows fastly for the Newtonian model case as compared with the non-Newtonian case by mounting the values of the elastic parameter. Moreover, the temperature field upsurges fastly in a non-Newtonian case as compared with the Newtonian case. The current investigation has an extensive range of use in biomedical science i.e. electromagnetic peristaltic micropumps.

Current effort is devoted to investigate the thermophysical aspects of viscous material in a triangular enclosure interacting with a heated square cylinder placed at central position. To view thermal aspects in explicit manner laminar, steady, incompressible viscous material for two different thermal situations are considered bottom wall is (a) uniformly heated (b) non-uniformly heated. Mathematical modelling of phenomenon is attained in the form of dimensional partial differential expressions. To handle manipulated partial differential system an efficient finite element method is implemented. Discretization of domain at multiple levels is generated in the form hybrid grid containing triangular and quadrilateral elements. Velocity, pressure and temperature are approximated by LBB-stable element. Impact of flow controlling parameters on velocity and thermal profiles for spacious range of Rayleigh number (Ra) and Prandtl number (Pr) are considered. Impact of the sundry parameters on coefficient of convective heat transfer, vortex centres and kinetic energy is also computed and shown in tabular format. It is deduced from heat is more efficiently and effectively supplied for non-uniform heating base wall than the uniformly heated wall. It is worthwhile to mention that discontinuity appears in case of uniform heat supply whereas this singularity is removed in the situation where non-uniform heat is provided. Positive trends in Nusselt number and kinetic energy are disclosed for uplifting magnitude of Rayleigh number. It is also found that velocity magnitude at all locations in cavity increments for intensifying values of Rayleigh number.

Non-Newtonian fluid rheology representing the properties of pseudoplastic and dilatant materials has received overwhelming attention due to extensive applications in industrial and technological sectors like in metallurgical processes, shock absorbing materials, smart structures, and devices with adaptive stiffness, damping, emulsions, suspensions and so forth. Thus, in current communication characteristics of power law fluid elucidating attributes of pseudoplastic and dilatant materials in channel driven cavity is addressed. Finite element method (FEM) is implemented to interpret rheological features of power law fluid by varying flow controlling parameters. Discretization of domain at coarse level is performed by using stable first and second order polynomial (P2−P1) shape functions. Square shaped cylinder is placed at (1, 1.5) above the cavity. Hydrodynamics forces like pressure difference drag and lift variations are measured at outer surface of cylinder. The impact of primitive parameters like power law index (n) and Reynold number on velocity, pressure and viscosity for shear thinning and thickening cases is adorned. It is deduced that pressure difference increased against the variation in power law index. In similar way the impact of drag and lift forces mounts by increasing power law index. Reynold number has delineating impact on drag and lift forces near the obstacle. It is also seen that pressure shows optimized non-linear behavior near the obstacle and becomes linear along the downstream as expected in channel flow. It is divulged that pressure drops more rapidly for increasing magnitude of Reynold number. Velocity of fluid increases when power law fluid flow is behaving as shear thinning fluid in comparison to shear thickening case.

Current communication is manifested to investigate flowing features of power law material in a newly proposed physical configuration namely the channel driven cavity. Since power law fluid discloses the dynamical features of shear thinning, shear thickening and Newtonian materials so in present communication it is considered for depiction of flow attributes. To achieve the desired outcomes from the work, a unit length cavity is placed below the channel. The flow is induced with parabolic inlet velocity and a Neumann condition is applied at the outlet, while no slip condition is set at all other boundaries. A square cylinder is placed in the channel with varying positions giving rise to three computational grids named as G1, G2and G3.Mathematical modelling is constructed by obliging fundamental conservation and rheological laws for power law fluid. Since the representative equations are complex in nature so an efficient computational procedure based on finite element method (FEM) is executed. A hybrid computational grid is generated at coarse level and then further refinement is done to improve the accuracy of the solution. The solution is approximated by adopting P2−P1element based on second and first order polynomial shape functions. Graphical trends against involved parametric variables are adorned. In addition for more physical insight of problem velocity and pressure plots and line graphs are added. Furthermore, the hydrodynamical benchmark quantities like pressure drop, drag and lift coefficients are evaluated in tabular form around the outer surface of obstacle.

The intention of the current study is analyzing the significance of nonlinear radiation on magnetic field involving hybrid AA7075 and AA7072 alloys nanomaterials through thin needle. The scenario has been modeled mathematically by captivating the binary chemical reaction and activation energy. Similarity variables are deployed to change the system of PDE’s into nonlinear ODE’s and subsequently solved these equations through bvp4c solver. Influence of distinct material parameters on the velocity, concentration and temperature along with the correlated engineering features quantities such as drag force, heat and mass transfer rate are obtained and demonstrated via plots. The velocity of the liquid is declining function of magnetic field, while the temperature augments. In addition, obtained numerical results are contrasted through the available literature and appeared to be in admirable harmony. The current investigation shows the important features in solar hybrid alloy nanomaterials systems and aircraft technology.

In recent years, material analysis of fluids has generated prodigious interest of researchers due to their effective role in interdisciplinary sciences. In view of its importance, the present communication is devoted to analyze the flow of power law fluid representing the features of shear thinning, shear thickening and Newtonian materials. Constitutive equations expressed in the form of tensorial representations depicting power law relation between viscosity and shear rate. The whole mathematical model is solved computationally via of finite element method by using stable P2−P1finite element pair. A highly refined hybrid mesh is obliged for the accurate computation of results. Material properties of power law fluid are disclosed in physical configuration renowned as channel driven cavity combining various benchmark problems like cavity flow, forward and backward facing steps and channel flow. Impact of material parameters on pertinent profiles is disclosed through graphs. Verification of computed results is done by comparing the velocity, viscosity, pressure fields for power law fluid with the Newtonian case.

In current pagination the flow problems involving shear rate dependent nonlinear viscosity have been treated successfully in the sense of space discretization and solvers. The stable finite element pair Q2/P1discis employed to approximate the velocity and pressure spaces independently. Discretized form of non-linear expressions is linearized by implementing Newton’s procedure and the resulting systems are solved using a geometric multigrid approach. The flow generated by way of driven cavity and by an obstacle are very important benchmarks of computational fluid dynamics. In current pagination shear rate reliant viscosity model renowned as Carreau Yasuda fluid is capitalized. The obtained results are demonstrated and analyzed with the help of velocity and viscosity plots. In addition, we have produced new reference data for kinetic energy (K.E) for driven cavity problem and drag and lift coefficients for circular obstacle problem. The obtained results for driven cavity problem reveal the fact that K.E is an increasing function of the relaxation parameter (λ)and power law exponent (n) whereas a decreasing function of the model parameter (a). For the case of flow around obstacle the drag coefficient (CD)and the lift coefficient (CL)show strong dependence on (λ)and (n), however a weak dependence on the parameter (a).

Researchers are using different types of nanomaterials for the enhancement of the thermal performance of regular fluids such as water, kerosene oil, etc. However, these days, the researchers are more interested in hybrid nanomaterials. The purpose of this communication is to examine the stability analysis of Cu–Al2O3/water hybrid nanofluid over a non-linear shrinking sheet. The hybrid nanomaterials are composed of Cu and Al2O3. These hybridized nanomaterials are then dissolved in water taken as base fluid to form Cu–Al2O3//water hybrid nanofluid. Mathematical analysis and modeling have been attended in the presence of viscous dissipation and suction/injection effects. The governing equations of mathematical models are transformed into self-similar solutions in the form of ODEs by using similarity transformation. Solutions of the non-linear ODEs are created by employing of three-stage Lobatto IIIa formula which is built-in BVP4C function in the MATLAB software. A comparison of the current study has been done with the preceding published literature. The distributions of velocity, temperature profiles, coefficient of skin friction and heat transfer rate are presented graphically and conferred for numerous significant parameters entering into the problem. Results revealed the existence of dual solutions for a certain range of the suction/blowing parameter. Stability analysis is also done in order to obtain dual solutions stability. The smallest eigenvalues suggest that the first solution is stable from the second solution. Hybrid nanomaterials have a high scope toward nurturing our day-to-day life.

In this work, efforts are made to scrutinize the influence of MHD on nonlinear radiative flow comprising Ti6Al4V nanoparticle through streamwise direction along with a crossflow. Activation energy with binary chemical reaction is also explored through cross-flow comprising Ti6Al4V nanoparticle which has not been discussed yet. Similarity variables are employed to transform PDEs into nonlinear ODEs system. Then, it executed numerically through bvp4c from Matlab. Multiple solutions analysis is used to obtain first and second solutions. Influences of controlling non-dimensional parameters on liquid velocity and fluid temperature are scrutinized through the assist of diagrams. Results disclose that the drag surface force and rate of heat transfer increase for greater values of suction, while the rate of mass transfer decreases. Besides, multiple results are noticed for certain values of the moving parameter.

Conductive polymers have been used for various biomedical applications including biosensors, tissue engineering and regenerative medicine. However, the poor processability and brittleness of these polymers hinder the fabrication of three-dimensional structures with desirable geometries. Moreover, their application in tissue engineering and regenerative medicine has been so far limited to excitable cells such as neurons and muscle cells. To enable their wider adoption in tissue engineering and regenerative medicine, new materials and formulations that overcome current limitations are required. Herein, a biodegradable conductive block copolymer, tetraaniline-b-polycaprolactone-b-tetraaniline (TPT), is synthesised and 3D printed for the first time into porous scaffolds with defined geometries. Inks are formulated by combining TPT with PCL in solutions which are then directly 3D printed to generate porous scaffolds. TPT and PCL are both biodegradable. The combination of TPT with PCL increases the flexibility of the hybrid material compared to pure TPT, which is critical for applications that need mechanical robustness of the scaffolds. The highest TPT content shows the lowest tensile failure strain. Moreover, the absorption of a cell adhesion-promoting protein (fibronectin) and chondrogenic differentiation of chondroprogenitor cells are found to be dependent on the amount of TPT in the blends. Higher content of TPT in the blends increases both fibronectin adsorption and chondrogenic differentiation, though the highest concentration of TPT in the blends is limited by its solubility in the ink. Despite the contradicting effects of TPT concentration on flexibility and chondrogenic differentiation, a concentration that strikes a balance between the two factors is still available. It is worth noting that the effect on chondrogenic differentiation is found in scaffolds without external electric stimulation. Our work demonstrates the possibility of 3D printing flexible conductive and biodegradable scaffolds and their potential use in cartilage tissue regeneration, and opens up future opportunities in using electric stimulation to control chondrogenesis in these scaffolds.

In this investigation, a Williamson hybrid nanoliquid flow over a stretchy surface has been considered. Furthermore, the convective boundary condition is incorporated for the analysis. In view of the practical applications thermal radiation is used to analyze the energy transfer phenomenon. The momentum and energy expressions are solved numerically by employing the KB approach (Keller Box Technique). The energy transfer rate has been discussed in the table. Further, velocity, temperature and Nusselt number impacts against thermal radiations are discussed in detail. This research portrayed that with the growth of suction/injection factor, the energy transmission and skin friction increase. Moreover, the heat transfer rate decreases for both (Al2O3+CuO)/SAand Al2O3/SAthe on the growth of Weissenberg parameter. In the same vain heat transfer rate improves for the increment in the convective parameter.

The present study investigates the importance of elastic deformation on the radiative flow of MHD trihybrid nanofluid over a vertical cylinder with mixed convection and Soret-Dufour effects. Significance of Marangoni convection is also taken into consideration. and nanoparticles are combined with propylene glycol (, which serves as the base fluid.

Vegetation concrete is increasingly being used for slope stabilization in highways, green roofing in urban developments, and erosion control in coastal areas due to its sustainable solutions for enhancing landscape aesthetics, mitigating pollution, and protecting the environment. However, the environmental and economic impacts of different mix proportions, particularly concerning CO2emissions, remain insufficiently explored. This study aimed to identify the optimal mix proportions of vegetation concrete through laboratory testing that minimize CO2emissions while ensuring compatibility with plant growth and cost-effectiveness. The vegetation concrete mix were prepared using different quantities of biochar (5%, 10%, and 15%) and cement content (4%, 8%, and 12%) by weight to evaluate their impact on porosity, unconfined compressive strength (UCS), alkalinity, plant compatibility, cost-effectiveness, and CO2emissions from raw materials. The results indicate that increasing the biochar content from 0% to 15% led to a 16% reduction in porosity and a 92% increase in UCS of vegetation concrete. Similarly, increasing the cement content from 0% to 12% resulted in an 11% decrease in porosity and a substantial 200% increase in the UCS of vegetation concrete. Moreover, the addition of 5% biochar had a beneficial effect on plant growth, however, increasing the biochar content beyond this level adversely impacted plant development. Based on laboratory test results, the recommended optimal mix for vegetation concrete includes a mix of 5% biochar, 8% low-alkaline sulfoaluminate cement, 6% sawdust, and 6% ferrous sulfate. The analysis of CO2emission of the materials studied showed that cement contributed the most to CO2emissions, followed by biochar, sawdust, water, and soil. Notably, the utilization of sulfoaluminate cement led to a 31.8% reduction in CO2emissions compared to Portland cement, while also lowering the overall cost of vegetation concrete by 24.7% to 33.8%. This research underscores the necessity of scientifically establishing relationships between the composition of plant-based concretes and their environmental and economic performance. In summary, this study identifies optimal mix proportions for vegetation concrete, leveraging low-alkaline sulfoaluminate cement and biochar to minimize CO2emissions, enhance landscape aesthetics, and ensure compatibility with plant growth, thus emphasizing its potential as a sustainable and cost-effective construction material.

Detailed investigation has been carried out to examine the behavior of squeezed fluid flow under the magnetic influence amid two infinitely extended disks arranged parallel to each other. Porosity is introduced in the lower disk to study the fluid flow characteristics. Applications in engineering and industrial processes, such as cooling systems and chemical reactors, where magnetic fields regulate fluid flow, need a thorough understanding of this phenomenon. The funamdental equations of Navier Stokes (N-S) Equations in the form of Partial Differential Equations (PDEs) are transformed into Ordinary Differential Equations (ODEs) with the help of similarity tranformation. For ensuring better accuracy MATLABs powerful tool is employed in the form of BVP4C technique, to compute the numerical solution. Fluid flow characteristics are discussed for the stated geometry. The velocity profile is discussed under variations of Non-dimensional parameters (Hartman Ha, Squeezed S, suction / injection A). Major findings of the current research revealed that the effect of the Hartmann Number on greatest value of velocity profile is more remarkable in the case of injection compared to suction. Moreover, Velocity profile exhibits a consistent increase as η rises in both scenarios without injection (A = 0) and with injection (A< 0). Current study opens new avenues in terms of exploration of fluid flow characteristics in context of simplicity, accuracy and verstality of numerical techniques.

This research-work aims to study the dynamic behavior in rotating ternary hybrid nanofluid. More exactly hydro-magnetic ternary hybrid nano-fluid (Cu, Al2O3, and Ag) flow through rotating converging/diverging channel has been investigated. The governing equations (PDEs) are converted to ODEs using the similarity transformations. In the next step, the problem has been solved numerically by using Runge-Kutta-Fehlberg 4th–5th order with shooting technique and analytically by using Duan–Rach Approach (DRA). The present results is compared with the HAM-based Mathematica package BVPh 2 and those available in the literature for several cases. The effects of parameters such as Reynolds number (Re), channel half-angle (α), rotational parameter (Ro), ternary hybrid nanoparticles (Cu+ Al2O3+ Ag), and Hartmann number (Ha) on the evolution of ternary hybrid nano-fluid velocity and skin friction coefficient is considered.

In this study, an unsteady natural convection flow of second-grade fluid over a vertical plate with Newtonian heating by constant proportional Caputo non-integer order derivative is presented. After developing a dimensionless flow model, the set of governing equations are solved with the help of integral transform, namely the Laplace transform and closed solutions are obtained. Also, some graphs of temperature and velocity field are drawn to see the subjectively of fractional parameter γand other involved parameters of interest. It also shows dual nature for small and large time behavior due to the power-law kernel. Further, a comparative analysis between the temperature as well as the velocity fields with existing literature has been presented. Further, as a result, it is concluded that constant proportional Caputo derivative shows more decaying nature of the fluid flow properties than classical Caputo and Caputo-Fabrizio fractional derivatives.

The new idea of Atangana and Baleanu introduced recently for fractional derivatives has received tremendous attention from researchers of various fields. However, this idea has not been applied for heat dissipation in transmission line of electrical circuit. Although the phenomenon of heat dissipation potentially damages the electrical devices which leads to catastrophic failure and shortens the life expectancy of costly electrical components. This manuscript signifies an electro-analog model of fractional diffusion process which enables to simulate heat dissipation in circuit board. The modeling of the problem has been established through modern operators of fractional calculus via the governing differential equation. By invoking Laplace transform on fractional governing equation of heat dissipation in transmission line of circuit, the analytic solutions are investigated through the exponential and Mittage Leffler kernel of non-integer order differentiations. The duality of analytic solutions has been compared with Caputo–Fabrizio and Atangana–Baleanu fractional differentiations graphically using embedded pertinent parameters. The comparison of both approaches of fractional differentiations has disclosed the heat transfer of circuit board and diffusion process with dissipation vividly. [ABSTRACT FROM AUTHOR]

•Heat and mass transfer in nanofluid over an accelerated plate is modeled.•Oxide and non-oxide nanoparticles are dispersed in water.•Laplace transform method is employed to solve the governing equations.•Interesting observations are noted from graphical results.