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This study examines how a chemical reaction and a nonuniform heat source effect the flow of an MHD Casson nanofluid over a nonlinear stretching sheet. By incorporating viscous dissipation, the energy equation is strengthened. Brownian diffusion, thermophoresis diffusion effects are taken place. By using the necessary similarity transformations, the governing equations for the current flow are converted into a nonlinear system. The RKF technique yields a numerical solution along with a shooting technique for the condensed system. Thereafter, to better understand the physical interpretation of flow and heat transfer, the flow-controlling parameters are shown graphically and in tabular form in the current work. Based on the present study's numerical results, a fair connection is found between this analysis and previous studies. Some of the observations are velocity profile is decreased for the effects of magnetics and stretching parameter variations and Eckert number plays a great role in the increase of temperature profile. [ABSTRACT FROM AUTHOR]

This Riga plate, which extends the configuration with permanent magnets and electrodes, may induce a wall-parallel Lorentz force over the magnetic field and exterior electrics, enabling efficient control of the fluid flow. In this paper, the focus is on considering the three-dimensional flow characteristics of Williamson fluid past the Riga plate in the absence of variable thermal properties. Many influential factors, such as convective boundary conditions of temperature, viscous dissipation, binary chemical reactions, and thermal radiation, are studied in their analysis. To address the study problem, dimensionless parameters are used to clarify the conductive partial differential equations. This dimensionless form was consequently determined mathematically by applying the shooting technique. The affected engineering parameters were interpreted graphically to appeal to physical interest. It was observed that the velocity distribution slows down into the viscosity parameter and stretching ratio constant. The enhanced temperature distribution was noticed in the increase in the thermal conductivity parameter. The rate of heat transport (130.56%) rises in the presence of Biot numbers. This causes significant increases in convective heat transport and heat energy. [ABSTRACT FROM AUTHOR]

The main aim of the present study is the heat transfer analysis of MHD Eyring-Powell flow over a stratified stretching sheet immersed in a porous material. Mixed convection as well as viscous dissipation effects are considered in order to observe the heat transfer analysis. To strengthen the energy equation viscous dissipation effect is incorporated in this study. Here, temperature distribution is carefully examined to assess rate of heat transmission for the present consideration. Present consideration can have many applications in various engineering fields. Later, the most appropriate similarity transformations are utilized to transform the governing partial differential equations into a nonlinear set of ordinary differential equations. Thereafter, a powerful and convergent procedure namely Runge-Kutta-Fehlberg procedure together with shooting technique is applied to obtain numerical solution for the condensed problem. Graphs are drawn for various values of flow controlling parameters to observe clear insight of the present study through velocity, temperature and concentration profiles. Numerical solutions are tabulated for comparison purpose. The main observations indicate that the temperature and velocity of the fluid decrease over a stretched sheet as the Eyring-Powell fluid material parameter increases. Moreover, mixed convection exhibits a significant impact on the present study, as the parameter value increases. correspondingly, velocity increases, but temperature shows a reverse nature. [ABSTRACT FROM AUTHOR]

The thermal radiation and convective condition principles were working on specific functions like gas turbines, electrical fuel, renewable energy, projectiles, nuclear power plants, aerospace engineering, and thermal transportation. Considering the aforementioned functions, the present analysis inspected the stagnation point hybrid nanofluids movement over the rotating sphere on the behavior of viscous dissipation and thermal radiation. Silver and Ferrous nanoparticles including the host fluid water were held into affected the flow. The presence of convective boundary conditions is incorporated within the system. Applying appropriate correspondence factors, nonlinear governing equations were transformed with ordinary differential equations. This finite element method is applied to find the mathematical solutions to the boundary conditions and simplified equations. These outcomes convey to temperature was decreased about accelerated factor, although primary velocity was found into increased. The heat transfer was magnified by thermal Biot number, and that rate of development was greater about hybrid nanosuspension. The heat transport method was reduced by the Eckert number; also that reduction rate was similarly dull on hybrid. [ABSTRACT FROM AUTHOR]

The present analysis addresses linear and nonlinear radiation effects in hydrodynamic viscous Maxwell fluid flow on a unidirectional stretching surface through viscous dissipation. The relaxation effect is considered in the mathematical model, which elucidates mass transport mechanisms under binary chemical reaction and activation energy. Mathematical modeling contains nonlinear partial differential equations using boundary conditions. Appropriate trans- formations convert the partial differential equations into ordinary differential equations. Numerical solutions for regular differential equations are brought by Runge–Kutta–Fehlberg numerical quadrature and a shooting method with a tolerance level of 10−9 . The influence of physical variables, such as Deborah relaxation number, rotation parameter, Biot number, activation energy parameter, reaction rate parameter, Eckert number, and Prandtl number are investigated. Increasing the Biot number improves the temperature region in the boundary layer. With high rotation, the increasing Deborah number enhances the fluid temperature substantially throughout the boundary layer. [ABSTRACT FROM AUTHOR]

In the current work boundary layer flow of Casson fluid over a stretched sheet is considered to analyze the heat transfer analysis in presence of viscous dissipation. The study of Casson fluid is the best study to analyze the nature of non-Newtonian fluid. The set ordinary equations are derived from the governing equations of the flow along with boundary conditions. The transformed coupled ordinary differential equations are solved numerically by using the spectral relaxation method. Later the numerical solutions are compared with exact solutions. The consequences of governing parameters on dimensionless quantities like velocity, temperature, friction factor and local Nusselt numbers are shown and discussed. Here the result shows that the Casson fluid has a propensity to decrease the velocity of the fluid due to its higher viscidness. And the fluid of relatively small Prandtl number has high temperature in the occurrence of viscous dissipation. Applications of such type of problems are obtained in the control of complex fluid materials significant to energy and biomedical systems. [ABSTRACT FROM AUTHOR]