Abstract
This article numerically investigates the 2D, steady, laminar, incompressible fluid flow, mass and heat transfer of a non-Newtonian fluid model induced by stretching surface. A Casson fluid model is considered to study the non-Newtonian behavior of the flowing fluid. The magnetic field and a porous medium are considered in the flow momentum, whereas the viscous dissipation is also taken into account in the energy transport phenomena. To see the fluid concentration, the concentration equation is used. Furthermore, the Nusselt number coefficient and skin friction are modified with the addition of nonlinear stretching and radiation parameters. With the similarity transformation, the nonlinear governing partial differential equations are transformed into a system of ordinary differential equations and then numerically solved using a fourth-order Runge-Kutta scheme with the shooting method. The relevant parameters of interest are interpreted for graphical results. The results illustrate that the fluid energy increases effectively with an increase in the Eckert number, radiation parameter, and heat source parameter, while it decreases by increasing the Prandtl number and heat sink parameter. Both the wall skin friction and the wall Nusselt number coefficient decelerate with an increase in the Casson parameter.
Highlights
Fluid dynamics is an important sub-discipline of fluid mechanics that describes the progression of fluids
The magnetic field and a porous medium are considered in the flow momentum, whereas the viscous dissipation is taken into account in the energy transport phenomena
The results illustrate that the fluid energy increases effectively with an increase in the Eckert number, radiation parameter, and heat source parameter, while it decreases by increasing the Prandtl number and heat sink parameter
Summary
Fluid dynamics is an important sub-discipline of fluid mechanics that describes the progression of fluids. Casson fluid behaves like an elastic solid, and the constitutive equation includes a yield shear stress for this fluid This type of transport mechanism can be found in a variety of chemical and mechanical engineering disciplines as well as in food processing. Mukhopadhyay studied the heat transport phenomena of Casson fluid over a non-linearly stretching surface [4]. K. Anantha Kumar [9] studied the effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet and observed how the temperature field improves with radiation, temperature-dependent thermal conductivity, and irregular heat parameters. Bandari [13] carried out research on the flow over a non-linearly stretching sheet of Casson fluid with the effects of radiation and heat source/sink. We numerically investigated the importance of Casson fluid flow and heat transfer mechanism in non-Newtonian fluid flow over a sheet. The x-axis is extended non-linearly, whereas the y-axis is set normal to it
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