Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels

Abstract

This study presents approximate analytical solutions for the velocity and volume flow rate of an electrically conducting, incompressible, and viscous Jeffrey fluid flowing through an asymmetric corrugated channel between two slit microparallel plates under electromagnetohydrodynamic conditions. The study uses the perturbation method to describe the periodic sinusoidal waves with small amplitude that characterize the corrugations of the two walls, which can be either in phase or half-period out of phase. The study also examines how the corrugations affect the velocity of the EMHD flow by performing numerical computations. The results show the dependence of the velocity profiles and mean velocity parameter on various factors, including Reynolds number (𝑅𝑒) , Hartmann number (𝐻𝑎) , Porous Medium (𝐷𝑎) , dimensionless wave number (𝜆) of the wall perturbation, and the dimensionless relaxation time (𝜆 1 ) and retardation time (𝜆 2 ) . The findings of this study have important implications for understanding the behavior of non-Newtonian fluids within asymmetric corrugated channels under electromagnetohydrodynamic conditions.