Abstract
The present article provides a detailed analysis of entropy generation on the unsteady three-dimensional incompressible and electrically conducting magnetohydrodynamic flow of a Casson nanofluid under the influence of mixed convection, radiation, viscous dissipation, Brownian motion, Ohmic heating, thermophoresis and heat generation. At first, similarity transformation is used to transform the governing nonlinear coupled partial differential equations into nonlinear coupled ordinary differential equations, and then the resulting highly nonlinear coupled ordinary differential equations are numerically solved by the utilization of spectral quasi-linearization method. Moreover, the effects of pertinent flow parameters on velocity distribution, temperature distribution, concentration distribution, entropy generation and Bejan number are depicted prominently through various graphs and tables. It can be analyzed from the graphs that the Casson parameter acts as an assisting parameter towards the temperature distribution in the absence of viscous and Joule dissipations, while it has an adverse effect on temperature under the impacts of viscous and Joule dissipations. On the contrary, entropy generation increases significantly for larger Brinkman number, diffusive variable and concentration ratio parameter, whereas the reverse effects of these parameters on Bejan number are examined. Apart from this, the numerical values of some physical quantities such as skin friction coefficients in x and z directions, local Nusselt number and Sherwood number for the variation of the values of pertinent parameters are displayed in tabular forms. A quadratic multiple regression analysis for these physical quantities has also been carried out to improve the present model’s effectiveness in various industrial and engineering areas. Furthermore, an appropriate agreement is obtained on comparing the present results with previously published results.
Highlights
The present article provides a detailed analysis of entropy generation on the unsteady threedimensional incompressible and electrically conducting magnetohydrodynamic flow of a Casson nanofluid under the influence of mixed convection, radiation, viscous dissipation, Brownian motion, Ohmic heating, thermophoresis and heat generation
The thermal conductivity of ordinary base fluids is very low, and it is necessary to enhance the thermal conductivity of base fluids
The numerical study of the present mathematical model is analyzed by taking the effects of Hall current, radiation, mixed convection, heat generation, viscous and Joule dissipations, Brownian motion and thermophoresis into account under some boundary conditions
Summary
The present article provides a detailed analysis of entropy generation on the unsteady threedimensional incompressible and electrically conducting magnetohydrodynamic flow of a Casson nanofluid under the influence of mixed convection, radiation, viscous dissipation, Brownian motion, Ohmic heating, thermophoresis and heat generation. Sheikholeslami et al.[14] displayed a keen interest to address the numerical simulation of MHD nanofluid flow and heat transfer between two parallel plates in a rotating system by taking the effect of viscous dissipation into account They discussed various important results including the nature of the magnitude of the skin friction coefficient and Nusselt number against the disparate values of pertinent parameters. Khan and Makinde[15] studied MHD laminar boundary layer flow of an electrically conducting water-based nanofluid containing gyrotatic microorganisms along a convectively heated stretching sheet. They incorporated the convective boundary layer condition. Contributions on the topic of MHD flow of the electrically conducting fluid under different conditions are depicted in the a rticles[17,18,19]
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