Abstract
This study communicates stagnation-point flow in magneto-Williamson nanofluid along a convectively heated nonlinear stretchable material in a porous medium. The impacts of Joule heating, thermophoresis together with Brownian motion are also checked in this investigation. In addition, thermodynamic second law is applied to develop entropy generation analysis of crucial parameters with identification of parameters capable of minimizing energy loss in the system. The transport equations are simplified into ordinary differential equations and then integrated numerically using Runge-Kutta-Fehlberg with shooting technique. The effects of the emerging parameters on the dimensionless velocity, temperature, concentration and entropy generation number are publicized through tables and graphs with appropriate discussions. In the limiting conditions, the results are found to conform accurately with published studies in the literature. It is found that the viscous drag can be reduced by lowering the magnitude of Weissenberg number, magnetic field and Darcy parameters while heat transfer at the surface improves in the presence of surface convection, temperature ratio and thermal radiation parameters. Besides, the analysis reveals that entropy generation can be minimized by lowering the magnitude of magnetic field, Schmidt number and surface convection parameters. The reduction in these parameters will promote efficient performance of thermal devices. More so, the results obtained in this study can be useful for the construction of appropriate thermal devices for use in energy and electronic devices.
Highlights
Reports on the flow and heat transfer of non-Newtonian fluids have become more fascinating due to widespread applications in various fields of science, engineering and technology
Motivated by the aforementioned studies coupled with various applications highlighted above, the aim of the present study is to investigate the motion and heat transfer of magnetohydrodynamic Williamson nanofluid induced by a convectively heated nonlinear stretching sheet in a porous medium with entropy analysis
The present analysis investigates stagnation point flow of magneto-Williamson nanofluid flow over a convectively heated nonlinearly stretched sheet in a porous medium with entropy generation analysis
Summary
Reports on the flow and heat transfer of non-Newtonian fluids have become more fascinating due to widespread applications in various fields of science, engineering and technology. The subject of entropy generation corresponds to thermodynamic irreversibility was initially investigated by Bejan [27,28] who utilized the basic principles of thermodynamics to study heat transfer and thermal design processes Due to these innumerable applications, Salawu and Ogunseye [29] studied the problem in the presence of chemical reaction using Eyring-Powell fluid while MHD second grade nanofluid was employed by Sithole et al [30] to examine such a concept whereas Mondal et al [31] addressed such phenomenon with the transport of a dusty fluid alongside with variable viscosity and radiation effects. The main equations are solved numerically via shooting technique coupled with Runge-Kutta Fehlberg scheme
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More From: International Journal of Mathematical Analysis and Optimization: Theory and Applications
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