An integrated numerical and analytical investigation on cilia-generated MHD flow of Jeffrey fluid through a porous medium

Abstract

Purpose

This study aims to examine the cilia-driven flow of magnetohydrodynamics (MHD) non-Newtonian fluid through a porous medium. The Jeffrey fluid model is taken into account. The fluid motion in a two-dimensional symmetric channel emphasizes the dominance of viscous properties over inertial properties in the context of long wavelength and low Reynolds number approximations.

Design/methodology/approach

An integrated numerical and analytic results are obtained by hybrid approach. A statistical method analysis of variance along with response surface methodology is used. Sensitivity analysis is used to validate the accuracy of nondimensional numbers.

Findings

The impact of various flow parameters is presented graphically and in numerical tables. It is noted that the velocity slip parameter is the most sensitive flow parameter in velocity and relaxation to retardation time ratio in temperature.

Originality/value

A model on cilia-generated flow of MHD non-Newtonian Jeffrey fluid is proposed.

Citation

Zeeshan, A., Javed, H., Shehzad, N., Sait, S.M. and Ellahi, R. (2024), "An integrated numerical and analytical investigation on cilia-generated MHD flow of Jeffrey fluid through a porous medium", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 11, pp. 4107-4131. https://doi.org/10.1108/HFF-04-2024-0280