Entropy generation on an MHD Casson fluid flow in an inclined channel with a permeable walls through Hermite wavelet method

Abstract

The current work provides a theoretical investigation of permeability effects on channel walls. The entropy generation in an incompressible Casson fluid flowing through an inclined penetrable channel which is under the magnetic action is numerically investigated by transforming the governing equations into a system of ODEs using non-dimensional parameters. The Hermite wavelet method is used to solve the achieved nonlinear coupled equations. Velocity, temperature, and entropy generation profiles are analyzed graphically and in addition, graphs are employed to assess the Bejan number, Nusselt number, and skin friction coefficient for a scale of various values of physical parameters. The results are evident that for increasing the Biot number, Grashof number, and Casson parameter entropy generation increases. The entropy production is suppressed when the Eckert number is enhanced. The dual nature of entropy generation is observed due to varying magnetic values. Our findings obtained from the present method are compared with other results available in the literature and is found that it is in good correlation with the existing one.

Keywords

• Collocation method
• Hermite wavelet
• Operational integration matrix
• Casson fluid
• Inclined channel
• Entropy generation