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The present work examines the convective Casson fluid flow over a stretching sheet with viscous dissipation and porous medium. The impact of thermal and mass transport is examined in terms of Soret and Dufour effects. The flow behaviour and heat transfer are investigated by subjecting the fluid to an induced magnetic field and suction/injection. The governing equations describing the flow problem are formulated using partial differential equations (PDEs). Similarity transformations are utilized to transform the governing equations into a system of ordinary differential equations (ODEs). Following that, the MATLAB solver bvp5c is utilized to grasp the results. Graphs serve as a function to display the consequences of flow on attributed parameters. Furthermore, the engineering properties such as skin friction, Nusselt number, and Sherwood number are represented through tables and graphs. Besides, the results of the present study are validated with the existing results, whereas a fine correspondence has been noticed. The findings show that the velocity of the fluid decreases by 8%, when the parameter of the induced magnetic field rises from 0.1 to 0.2. Similarly, a 3% decrement in the velocity profile is observed, while increasing the suction/injection parameter from 1.2 to 1.4. The temperature of the fluid is escalated for the increasing values of the Eckert number. Our analysis indicates a positive correlation between the Nusselt number and increasing Dufour number values. Similarly, the Sherwood number exhibits enhancement with a rise in the chemical reaction parameter. This combination has some applications in designing cooling systems for microfluidic devices, optimizing drag reduction in magnetohydrodynamics (MHD) devices, and developing novel separation processes. [ABSTRACT FROM AUTHOR]

Steady flow of incompressible Maxwell–Sutterby fluid at stretching sheet is discussed in the presence of stagnation point region. The magnetic Reynolds number is considered very high and induced magnetic and electric fields are applied to the fluid flow. Temperature-dependent properties with radiation influence are considered in this analysis. The heat source or sink and melting impact are also debated in this analysis. A differential model of mathematics is developed by employing a governing constitutive equation. The differential equations' model is condensed and becomes ordinary differential equations by implementing the appropriate transformations. Furthermore, these equations are elucidated by the numerical scheme. The physical influence of physical parameters is exhibited in the graphs and tabular form. The escalating values of M cause a shear thinning attitude in the fluid; as a result, devaluation in the velocity is detected in the case of a / c = 0. 5 , while it depicted the counter behavior for a / c = 1. 5. The skin friction is heightened with improving values of Re because R e boosted which improved the viscosity of liquid as well as heightened the friction at sheet. The enhancing values of M p cause a decrement in skin friction. The melting parameter is enriched which reduces the viscosity of fluid due to temperature boosting as well as friction reduction. The diminution in skin friction is found for enhancing the values of β. [ABSTRACT FROM AUTHOR]

Purpose: Several graphs, streamlines, isotherms and 3D plots are illustrated to enlighten the noteworthy fallouts of the investigation. Embedding flow factors for velocity, induced magnetic field and temperature have been determined using parametric analysis. Design/methodology/approach: Ternary hybrid nanofluids has outstanding hydrothermal performance compared to classical mono nanofluids and hybrid nanofluids owing to the presence of triple tiny metallic particles. Ternary hybrid nanofluids are considered as most promising candidates in solar energy, heat exchangers, electronics cooling, automotive cooling, nuclear reactors, automobile, aerospace, biomedical devices, food processing etc. In this work, a ternary hybrid nanofluid flow that contains metallic nanoparticles over a wedge under the prevalence of solar radiating heat, induced magnetic field and the shape factor of nanoparticles is considered. A ternary hybrid nanofluid is synthesized by dispersing iron oxide (Fe3O4), silver (Ag) and magnesium oxide (MgO) nanoparticles in a water (H2O) base fluid. By employing similarity transformations, we can convert the governing equations into ordinary differential equations and then solve numerically by using the Runge–Kutta–Fehlberg approach. Findings: There is no fund for the research work. Social implications: This kind of study may be used to improve the performance of solar collectors, solar energy and solar cells. Originality/value: This investigation unfolds the hydrothermal changes of radiative water-based Fe3O4-Ag-MgO-H2O ternary hybrid nanofluidic transport past a static and moving wedge in the presence of solar radiating heating and induced magnetic fields. The shape factor of nanoparticles has been considered in this study. [ABSTRACT FROM AUTHOR]

In this research article, we intend to perform a numerical investigation of the thermal features of MHD Williamson hybrid nanofluid flow over a linearly stretching surface with viscous dissipation and nonlinear thermal radiation effects. An external magnetic field exists in the vicinity of stagnation point along with the creation of induced magnetic field due conducting fluid. A thin film of viscous and incompressible base fluid, engine oil (E O) , encumbered with titanium alloy (T i 6 A l 4 V) and zinc oxide (Z n O) nanoparticles is examined taking pure nanofluid and hybrid nanofluid cases simultaneously in a single frame in Cartesian coordinates. The governing equations are first transformed to ordinary differential equations employing similarity transformations and then simulated by successive over-relaxation method. Approximate solutions are assessed through graphs for velocity, temperature and induced magnetism corresponding to the prominent parameters. A significant improvement in wear resistance, lubrication and thermal features of the engine oil has been observed due to titanium alloy and zinc oxide hybrid nanocomposite. [ABSTRACT FROM AUTHOR]

The paper studies effect of induced magnetic field on laminar convection flow of a viscous electrically conducting incompressible fluid between two parallel porous plates at constant temperature gradient in presence of a uniform inclined magnetic field. An angle (θ) is formed with the vertical line by applying a magnetic field in that direction and field is strong enough to induce another field along the line of flow. Using the proper similarity transformations, the flow equations are converted into ordinary differential equations, which are then numerically solved by using MATLAB's bvp4c solver. Plotting of the graphs allows one to examine the effects of several critical parameters such as Hartmann number, Darcy number, Magnetic Reynolds number, Prandtl number, and Field inclination on velocity field, induced magnetic field, temperature field at the plates. The acquired results demonstrate that the flow system is effectively influenced by the field inclination, the magnetic parameter, and the plate porosity. The rise in field inclination leads to an increase in magnetic drag force. [ABSTRACT FROM AUTHOR]

An analysis is carried out to study the two-dimensional stagnant point flow of titanium dioxide (T i O 2) -titanium alloy (T i 6 A l 4 V) /carboxymethyl cellulose (CMC) water-based hybrid nanoliquid over an expanding surface characterized by the induced magnetic field (IMF). Further, the consideration of thermal buoyancy and the additional nonuniform heat source is involved in the modeling. The intent of this work has significant novelty due to the elastic deformation behavior over a stretching surface. The governing mathematical equations of the problem are reduced to a set of simultaneous ordinary differential equations and are elucidated numerically by employing the Runge-Kutta-Fehlbergs fourth-and-fifth (RKF-45) order process combined with a shooting approach. This article examines the properties of change in parameters on the functions including temperature profiles, induced magnetic field, and velocity profiles of hybrid nanoliquid, shown through graphs. The impact of the Elastic deformation coefficient reduces the temperature where as magnetic field enhance the velocity profile. Magnetic parameter boosts skin friction coefficient with an increase in the buoyancy effect. Momentum profile and induced magnetic field are affected most by the Magnetic Prandtl number [ABSTRACT FROM AUTHOR]

There are various implementations of common fluids in industrial and chemical processes. With the cooperation of the nanoparticles, the lower thermal properties of such fluids can be augmented. By using a new kind of nanofluid namely hybrid nanofluid, the heat transfer rate of such fluids can be boosted more quickly. The main intention of this research is on entropy analysis in the stagnant point flow of a hybrid nanofluid. The mixed convection nonlinear thermal radiative flow on a stretchable vertical sheet is examined under the influences of the induced magnetic field and chemical reactions. The impacts of Joule heating, partial slips and viscous dissipation are also involved. After the execution of the appropriate similarity transformations, the constituting equations of the flow problem emerge as the nonlinear dimensionless setup of ordinary differential equations. An amplification is examined in the velocity field, entropy generation, and induced magnetic field relative to the mixed convection parameter. With the improved Brinkman number, an augmentation is developed in the entropy of the system. Moreover, both the heat transfer rate and the surface drag force exhibit an accelerating behavior relative to the mixed convection parameter. [ABSTRACT FROM AUTHOR]

This study investigates the influence of an induced magnetic field on the flow behavior of a hybrid nanofluid comprising AA7072 and AA7075 alloys dispersed in water within a vertical channel with a suction velocity. The research considers the effects of both the induced magnetic field and suction velocity, taking into account the prescribed surface temperature (PST) and prescribed heat flux (PHF) boundary conditions. This unique mixture offers potential applications in various engineering fields, making it an important subject for investigation. The suitable similarity rules are adopted for the transformation of the designed problem into a set of ordinary differential equations, which were solved using the DTM (Differential Transform Method). The study examined the influence of various non-dimensional parameters on the various flow profiles. The characteristics of these profiles, as well as the skin friction coefficient, heat transfer rate were extensively analyzed through the use of plots and tables. In important outcomes, it is observed that the enhanced magnetization augments the induced magnetic profile within the entire domain, whereas the particle concentrations have significant role in controlling the same profiles. [ABSTRACT FROM AUTHOR]

This current investigation aims to explore the significance of induced magnetic fields and double-diffusive convection in the radiative flow of Carreau nanofluid through three distinct geometries. To simplify the fluid transport equations, appropriate self-similarity variables were employed, converting them into ordinary differential equations. These equations were subsequently solved using the Runge–Kutta–Fehlberg (RKF) method. Through graphical representations like graphs and tables, the study demonstrates how various dynamic factors influence the fluid's transport characteristics. Additionally, the artificial neural network (ANN) approach is considered an alternative method to handle fluid flow issues, significantly reducing processing time. In this study, a novel intelligent numerical computing approach was adopted, implementing a Levenberg–Marquardt algorithm-based MLP feed-forward back-propagation ANN. Data collection was conducted to evaluate, validate, and guide the artificial neural network model. Throughout all the investigated geometries, both velocity and induced magnetic profiles exhibit a declining trend for higher values of the magnetic parameter. An increase in the Dufour number corresponds to a rise in the nanofluid temperature. The concentration of nanofluid increases with higher values of the Soret number. Similarly, the nanofluid velocity increases with higher velocity slip parameter values, while the fluid temperature exhibits opposite behavior, decreasing with increasing velocity slip parameter values. [ABSTRACT FROM AUTHOR]

Household warming, distillation, cooling systems, manufacturing heat, power plants, and irrigation water pumps are all applications for a parabolic trough surface accumulator (PTSC). This research examines the consequences of mixing nanosolid materials on PTSC installed on a solar aircraft wing, as well as the production of entropy. The Newtonian nanofluid model was used to investigate the consequences of thermal radiative fluxing, changing thermal conductivity, and upstream magnetism force limitations. Thermal radiative, and variable thermal conducting, the heat transfer discharge from solar aircraft wings is enhanced. Ordinary differential equations (ODEs) are numerically treated using a method known as the Keller-box method. Thermal radiative and thermal conducting effect adjustments that are positive develop the heat transference coefficient of solar aircraft wings. It is thought that graphene oxide (GO) based kerosene oil (K) can help with PTSC performance monitoring. We will also experiment with different nanoparticle concentrations to see how they affect the system's active characteristics. The thermodynamic performance of GO-K nanofluid has been described better than that of base nanofluid. GO-K has a heat transition rate of 15.03% higher than conventional fluid without GO. Theoretical simulations with documentation can be more useful in improving solar thermal energy schemes. [ABSTRACT FROM AUTHOR]

In the current analysis, steady incompressible Sutterby fluid flows over a stretching cylinder are studied. The influence of variable thermal conductivity is considered in the presence of thermal slip, Darcy resistance, and sponginess. The impact of the induced magnetic field is considered to analyze the results at the cylindrical surface. The governing equations are established as partial differential equations using the boundary layer approximation. Appropriate transformations are used to convert partial differential equations into ordinary differential equations. The numerical technique, namely (bvp4c), is applied to ordinary differential equations to develop the results. The numerical results, such as heat transfer rate and skin friction, are revealed by tabular form to demonstrate the physical impact of governing factors. The physical impact of governing factors on induced magnetic hydrodynamic, velocity, and temperature profiles is presented through various graphs. The velocity function deteriorated due to the augmentation of the Sutterby fluid parameter. [ABSTRACT FROM AUTHOR]

The current examination employs a numerical analysis to ascertain the effect of the Eckert number along with the Prandtl number on a magnetohydrodynamic natural convection flow of an incompressible viscous fluid in which it is electrically conducting, passing through a perpendicular microchannel. Conduction along with non‐conducting immeasurable perpendicular walls within the existence of temperature and velocity slip at the microchannel is analyzed. The induced magnetic field (IMF) generated by the motion of an electrically conducting fluid in the presence of a transverse magnetic field is considered. The momentum and induction equations are coupled in the presence of an induced magnetic field. A set of similar variables are used to convert the governing set of equations to nonlinear‐coupled ordinary differential equations. With the aid of MATLAB in built solver is carried out to get the numerical solutions. The influences of Hartman number, Prandtl number, and Eckert number along with some physical parameters are explained through graphs. The results indicate that increasing the Hartmann and magnetic Prandtl numbers results in a significant decrease in volume flow rate. [ABSTRACT FROM AUTHOR]

In the current article, induced magnetic field applied on second-grade fluid flow under variable thermal conductivity by an exponentially stretching sheet is taken into account for current analysis. The chemical reaction and viscous dissipation effects under the influence of thermophoresis and Brownian motion are considered on an exponentially stretching sheet. With the above assumptions, a mathematical model was developed in terms of partial differential equations by using the boundary-layer approximations. Similarity transformations in terms of ordinary differential equations considerably simplified this system. The dimensionless system was solved by a numerical procedure, the bvp4c method. The effects of involving physical parameters are presented through graphs and tables. The obtained numerical outcomes of the skin friction coefficient, the Sherwood number, and the Nusselt number are also highlighted in the tabulated form. It is concluded that the velocity and concentration profiles increased due to higher values of material parameter. [ABSTRACT FROM AUTHOR]

In this study, a mathematical analysis is presented for the hydromagnetic convective flow of an incompressible, chemically reacting, and electrically and thermally conducting viscoelastic fluid through a vertical channel bounded by the porous regime under the action of an applied magnetic field with Hall current and induced magnetic field effects. The left wall of the channel is considered to be nonmagnetic, whereas the right wall of the channel is periodically magnetized. The flow within the channel is induced due to the nonuniform wall temperature and concentration, periodic pressure gradient, and periodic movement of the right wall. The method of separation of variable is used to convert the flow governing coupled partial differential equations into the ordinary differential equations that are solved analytically, and the solution for fluid velocity, induced magnetic field, temperature, and concentration is presented in a closed form. Numerical computation has been performed to demonstrate the impact of various system parameters on the fluid flow behavior. It is observed that oscillations increase the primary flow and primary induced magnetic field. Buoyancy forces have a tendency to lessen the secondary induced magnetic field. Furthermore, it is examined that magnetic diffusivity increases the primary flow, whereas it decreases the secondary flow and primary induced magnetic field. [ABSTRACT FROM AUTHOR]

The investigation explores the influence of the induced magnetic field and variable mass diffusivity on an unsteady incompressible mixed convective double stratified and chemically reactive flow of Jeffrey fluid through a porous medium with heat, and mass flux boundary conditions. The system of flow field nonlinear partial differential equations is reduced into coupled nondimensional ordinary differential equations using appropriate similar variables, then worked out a numerical solution via shooting technique along with Rung-Kutta fourth-order scheme. The results are analyzed for various physical flows, heat and mass transfers, induced magnetic field, and skin friction against disparate prominent parameters via graphs and tables. It is recognized that the temperate of the fluid is enhanced with thermal stratification; however, the concentration of the fluid is decreased with magnetic Reynold's number. The comparison of numerical values of skin friction with the existing literature for limiting sense. [ABSTRACT FROM AUTHOR]

Purpose: The aim of the present paper is to investigate the homogeneous and heterogeneous reactions on Prandtl fluid flow at a stretching sheet with an induced magnetic field and slip boundary conditions. Design/methodology/approach: The governing equations include the continuity, induced magnetic field, momentum, energy and homogeneous–heterogeneous equations. Initially, with suitable similarity variables, the governing partial differential equations and converted into a system of ordinary differential equations. Then, the nonlinear ordinary differential equations are solved by a shooting technique with the help of the BVC5C Matlab package. Findings: The results of the present investigation are presented through graphs for different values of the various parameters. The authors observed that the large values of the stretching ratio and the induced magnetic parameters are moderate magnetic field, velocity and temperature primarily. Also, the authors found the more velocity and temperatures by boosting the slip parameters. Originality/value: In addition, the values of the skin friction and the rate of heat transfer for various values of physical parameters are tabulated and deliberated in detail. [ABSTRACT FROM AUTHOR]

• Impact of induced magnetic field is investigated. • Dual solutions are found. • Homogeneous-heterogeneous chemical reaction is also incorporated. • Graphene-oxide nanoparticle is utilized to enhance the heat transfer. • Stretchable/shrinkable sheet geometry is considered. Water has received a great deal of attention as lubrication for production due to its efficiency, affordable, and friendly to the environment. GO (graphene oxide) ingredients have the capability to upsurge the efficiency of water lubrication owing to theire extraordinary machine-driven/mechanical properties, water dispensability, and variety of practical uses. With such a motivation, it is anticipated the effect of the induced magnetic field (IMF) on the fluid flow close to a standstill point created by a stretching/shrinking sheet with a homogeneous-heterogeneous chemical reaction and dispensed with water-based GO nanoparticles. The leading governing partial differential equations (PDEs) of the problem are converted into ordinary differential equations (ODEs) via employing similarity variables. After that, the resulting equations are worked out numerically with help of the bvp4c (boundary-value problem of fourth-order) solver. Figures are employed as representations to demonstrate the stimulation of pertinent parameters such as the reciprocal magnetic parameter, the magnetic parameter, the Prandtl number, the Schmidt number, the ratio of the diffusion coefficients, radiation, nanoparticle volume fraction, heat source/sink, and heterogeneous reaction parameter on the profile of induced magnetic, velocity, temperature, concentration, rate of heat transfer, and friction factor. It is noted that both the gradients are enhanced by the nanoparticle fraction volume. Moreover, dual solutions can be established in the limited values of stretching/shrinking parameter. Moreover, the shear stress upsurges by almost 4.18% and 0.52% for the upper and lower solution branches with higher values of the solid nanoparticles volume fraction, respectively, whilst it shrinkages up to 7.56% in the upper branch outcome owing to the higher influence of the magnetic parameter but increases by almost 14.56% for the lower branch solution. [ABSTRACT FROM AUTHOR]