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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 order to understand the characteristics of bio-convection and moving microorganisms in flows of magnetized Walters-B nano-liquid, we developed a model employing Riga plate with stretchy sheet. The Buongiorno phenomenon is likewise employed to describe nano-liquid motion in the Walters-B fluid. Expending correspondence transformations, the partial differential equation (PDE) control system has been transformed into an ordinary differential equation (ODE) control system. The COMSOL program is used to generate mathematical answers for non-linear equations by employing the Galerkin finite element strategy (G-FEM). Utilizing logical and graphical metrics, temperature, velocity, and microbe analysis are all studied. Various estimates of well-known physical features are taken into account while calculating nanoparticle concentrations. It is demonstrated that this model's computations directly relate the temperature field to the current Biot number and parameter of the Walters-B fluid. The temperature field is increased to increase the approximations of the current Biot number and parameter of the Walters-B fluid. [ABSTRACT FROM AUTHOR]

In our research work, we have developed a model describing the characteristics of the bio-convection and moving microorganisms in the flows of a magnetized generalized Burgers' nanoliquid with Fourier's and Fick's laws in a stretchable sheet. Considerations have been made to Cattaneo–Christov mass and heat diffusion theory. According to the Cattaneo–Christov relation, the Buongiorno phenomenon for the motion of a nanoliquid in the generalized Burgers' fluid has also been applied. Similarity transformations have been used to convert the control system of the regulating partial differential equations (PDEs) into ordinary differential equations (ODEs). The COMSOL software has been applied to obtain mathematical results of non-linear equations via the Galerkin finite element method (G-FEM). Logical and graphical measurements for temperature, velocity, and microorganisms analysis have also been examined. Moreover, nanoparticle concentrations have been achieved by examining different approximations of obvious physical parameters. Computations of this model show that there is a direct relationship among the temperature field and thermal Biot number and parameter of the generalized Burgers' fluid. The temperature field is increased to grow the approximations of the thermal Biot number and parameter of generalized Burgers' fluid. It is reasonable to deduce that raising the chemical reaction parameter and concentricity relaxation parameter or decreasing the Prandtl number, concentricity Biot quantity, and active energy parameter can significantly increase the nanoparticles concentration dispersion. [ABSTRACT FROM AUTHOR]

Prandtl–Eyring hybrid nanofluid (P-EHNF) heat transfer and entropy generation were studied in this article. A slippery heated surface is used to test the flow and thermal transport properties of P-EHNF nanofluid. This investigation will also examine the effects of nano solid tubes morphologies, porosity materials, Cattaneo–Christov heat flow, and radiative flux. Predominant flow equations are written as partial differential equations (PDE). To find the solution, the PDEs were transformed into ordinary differential equations (ODEs), then the Keller box numerical approach was used to solve the ODEs. Single-walled carbon nanotubes (SWCNT) and multi-walled carbon nanotubes (MWCNT) using Engine Oil (EO) as a base fluid are studied in this work. The flow, temperature, drag force, Nusselt amount, and entropy measurement visually show significant findings for various variables. Notably, the comparison of P-EHNF's (MWCNT-SWCNT/EO) heat transfer rate with conventional nanofluid (SWCNT-EO) results in ever more significant upsurges. Spherical-shaped nano solid particles have the highest heat transport, whereas lamina-shaped nano solid particles exhibit the lowest heat transport. The model's entropy increases as the size of the nanoparticles get larger. A similar effect is seen when the radiative flow and the Prandtl–Eyring variable-II are improved. [ABSTRACT FROM AUTHOR]

The motive behind this article is to investigate the impact of triple diffusive convective flowing on Reiner-Philippoff (R-Ph) past a stretchable surface with Avramenko-Blinov-Shevchuk boundary restrictions. The governing determined partial differential equation (PDEs) are converted into ordinary differential equations (ODEs) with the utilization of similarity conversions and handled these equations computationally with the application of a well-recognized computational structure called Cash and Carp method. The dimensionless parameters used in figures and tables range between 0.1 ≤ γ ≤ 1.1 , 0.1 ≤ λ ≤ 2.1 , 0 ≤ Nc 1 ≤ 2 , 0.1 ≤ Nc 2 ≤ 1.3 , 0.1 ≤ Le 1 , L e 2 , Ld 1 , a n d Ld 2 ≤ 2 , 0.1 ≤ Nd 1 ≤ 0.5 , 0.1 ≤ Nd 2 ≤ 0.5 , 0 ≤ R d ≤ 3 , 0.1 ≤ ∊ ≤ 0.5 , 0 ≤ N b ≤ 1 , 0 ≤ N t ≤ 1.2. From numerical outcomes, it is revealed that the velocity field devalues outstanding to an incremental change in the Grashof number factor and the solutal profile escalates by the benefit of an intensification in the Dufour Lewis number. The heat of the fluid amplifies as a consequence of amplification in both linear heat radiation and Brownian diffusion parameters. [ABSTRACT FROM AUTHOR]

The thermal control subject of heat transference encompasses the generation, use, conversion, and transportation of thermal energy. Heat transference is critical in engineering and industrial industries such as food processing, food additive manufacturing, electronic cooling, microturbines, and so on. Because of the intriguing possibilities in sectors such as polymer manufacture, paper production, crystal glass manufacturing, and so on, academics all over the globe have attempted to investigate the influence of heat transmission on fluid past an expanding surface. We constructed a symmetric system relating extended Burgers' nanofluid (BNF) with Fourier's and Fick's laws in a symmetric stretchy slip as part of our investigation. The Cattaneo-Christov mass and heat diffusions principle has been considered. The Buongiorno occurrence is also utilized for the symmetric flowing of nanofluids (NFs) in the generalized Burger's fluid, according to the Cattaneo-Christov connection (CCC). For the numerical solution, using the similarity transformations, the control system that regulates partial differential equations (PDE) was turned into ordinary differential equations (ODE). Using the COMSOL program, the Galerkin finite element method (G-FEM) is utilized to generate mathematical results for non-linear equations. We observed greater temperature and concentration for Fourier-Fick's conditions as compared to revised Fourier-Fick's scenarios. The heat field is raised to produce the calculations of the current Biot quantity and generalized BNF factor. To receive results in the form of figures and tables, the parameter values must be between 0.1 ≤ β 1 ≤ 0.5, 0.2 ≤ β 2 ≤ 0.4, 0.2 ≤ β 3 ≤ 0.4, 0.2 ≤ β 4 ≤ 0.4, 0.1 ≤ M ≤ 1.2, 0.1 ≤ Nr ≤ 0.9, 0.1 ≤ λ ≤ 0.5, 0.2 ≤ K ≤ 1.6, 0.1 ≤ Rd ≤ 1, 0.1 ≤ λ T ≤ 0.3, 0.1 ≤ δ 1 ≤ 0.3, 0.1 ≤ E ≤ 1 and 0.1 ≤ Le ≤ 0.9. The G-FEM investigation of Burgers' nanofluid (BNF) in the presence of heat source, thermal radiative heat flux and Cattaneo-Christov mass and heat flux has not been investigated yet in the available literature. [ABSTRACT FROM AUTHOR]

Apart from the Buongiorno model, no effort was ably accomplished in the literature to investigate the effect of nanomaterials on the Oldroyd-B fluid model caused by an extendable sheet. This article introduces an innovative idea regarding the enforcement of the Tiwari and Das fluid model on the Oldroyd-B fluid (OBF) model by considering engine oil as a conventional base fluid. Tiwari and Das's model takes into account the volume fraction of nanoparticles for heat transport enhancement compared to the Buongiorno model that depends significantly on thermophoresis and Brownian diffusion impacts for heat transport analysis. In this paper, the thermal characteristics of an Oldroyd-B nanofluid are reported. Firstly, the transformation technique is applied on partial differential equations from boundary-layer formulas to produce nonlinear ordinary differential equations. Subsequently, the Keller-box numerical system is utilized to obtain final numerical solutions. Copper engine oil (Cu–EO) and molybdenum disulfide engine oil (MoS2–EO) nanofluids are considered. From the whole numerical findings and under the same condition, the thermodynamic performance of MoS2–EO nanofluid is higher than that of Cu–EO nanofluid. The thermal efficiency of Cu–EO over MoS2–EO is observed between 1.9% and 43%. In addition, the role of the porous media parameter is to reduce the heat transport rate and to enhance the velocity variation. Finally, the impact of the numbers of Reynolds and Brinkman is to increase the entropy. [ABSTRACT FROM AUTHOR]

The communication aims to analyze the conduct of rotating Prandtl nanofluid with the inclusion of effects like MHD, variable species diffusivity, nonlinear warm radiation, convective limit conditions, velocity slip and chemical reaction on fluid moving along a stretchable surface. Buongiorno model is implemented in orde to catch the Brownian movement and thermophoresis impacts by the presence of nanofluids. The effect of viscous dissemination and Joule heating is used in the current review. Using suitable similarity variables, the governing differential conditions with respect to momentum, energy, and concentration are improved into customary, ordinary differential equations and these equations numerically with the shooting technique. The ranges of different dimensionless parameters used in our study are Prandtl fluid parameter 0 ≤ α ≤ 3.5, elastic parameter 1 ≤ β ≤ 7, thermal radiation 1 ≤ Rd ≤ 2, temperature ratio parameter 1 ≤ θ w ≤ 1.6, Eckart number 0.3 ≤ Ec ≤ 0.7, velocity slip parameter 0 ≤ γ 1 ≤ 1, thermophoresis parameter 0.1 ≤ Nt ≤ 4, Brownian motion parameter 0.1 ≤ Nb ≤ 1.5, Prandtl number 1.7 ≤ Pr ≤ −2.6, magnetic parameter 0.1 ≤ M ≤ 0.8, chemical reaction parameter 0.2 ≤ δ ≤ 1, convection parameter 0.3 ≤ γ 2 ≤ 1.1, rotational parameter 0.1 ≤ λ ≤ 0.7, Schmidt number 0.1 ≤ Sc ≤ 0.7, variable species diffusivity 0.1 ≤ ϵ ≤ 0.5 which shows up during mathematical arrangement are shown as tables and charts. These results are enhanced with the data for the heat transfer rate and skin friction coefficients. It is seen that the temperature profile enhanced on account of an increase in temperature convection boundary and mass fraction field raises due to an improvement in species diffusivity parameter. [ABSTRACT FROM AUTHOR]

Current simulations, heat and mass transport of a variable hydromagnetic flow of Copper and Copper oxide-water nanoparticles suspended in nanofluid on a non-linear radially stretching surface in the presence of various impacts have been analyzed. The mathematical model scrutinizes the impacts of thermal radiation, viscous dissipation, and heat source/sink in thermal transport equation and variable chemical reaction in mass transport equation Additionally, velocity slip is imposed in boundary conditions. Further, the impacts of two shapes nanoparticle named column and lamina on the over nonlinearly radially stretched surface. The higher-order equations modeling the problem are mutated into nonlinear ordinary differential equations via similarity transformations approach, while the solutions to the modified equations are sought using Keller Box technique. [ABSTRACT FROM AUTHOR]