The flow of non‐Newtonian fluid in an inclined channel through variable permeability

Abstract

A non‐Newtonian fluid's Poiseuille flow in a porous medium with variable inclination and permeability is investigated. Let us assume for the sake of simplification that permeability varies as a quadratic parabolic function form. The porous medium is used by the Brinkman methodology to control the flow. The equations for velocity distribution and mass flow that result from this are evaluated using different input values. This problem describes the effect of inclination, Jeffrey parameter, and variable permeability on the classical Poiseuille flow between parallel plates. This problem can also be treated as an extension of the work of Hamdan and Kamel for non‐Newtonian fluid flow in an inclined channel. Also, the effects of these variables on the variation of mass flux with Jeffrey parameter λ1 is analyzed through graphs, and the skin friction coefficient is analyzed through table values. It is observed that the maximum permeability of the porous medium affects both the mass flow rate and the velocity, which increase with rising λ1 and decrease with rising Ha, respectively.

Effect of Double Stratification on MHD Williamson Boundary Layer Flow and Heat Transfer across a Shrinking/Stretching Sheet Immersed in a Porous Medium

“…Hayat et al explored the timeindependent MHD fow of Williamson fuid across a porous plate and found a solution with a number of phases [6]. Te fow of a non-Newtonian fuid through a pipe with variable permeability and an inclined plane was taken into consideration by the authors Bandi et al [7]. Sudheer Babu et al [8] investigated the impact of chemical reactions on MHD heat and mass transfer in a Jefrey fuid fow with viscous dissipation and joule heating.…”