Open Access

ARTICLE

Theory and Semi-Analytical Study of Micropolar Fluid Dynamics through a Porous Channel

by Aziz Khan¹, Sana Ullah², Kamal Shah^1,3, Manar A. Alqudah⁴, Thabet Abdeljawad^1,5,*, Fazal Ghani²

1 Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia
2 Department of Mathematics, Abdul Wali Khan University, Mardan, P.O. Box 23200, Khyber Pakhtunkhwa, 23200, Pakistan
3 Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, 18000, Pakistan
4 Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah bint Abdurahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
5 Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

* Corresponding Author: Thabet Abdeljawad. Email:

(This article belongs to the Special Issue: Advanced Computational Methods in Fluid Mechanics and Heat Transfer)

Computer Modeling in Engineering & Sciences 2023, 136(2), 1473-1486. https://doi.org/10.32604/cmes.2022.023019

Received 05 April 2022; Accepted 01 July 2022; Issue published 06 February 2023

Abstract

In this work, We are looking at the characteristics of micropolar flow in a porous channel that’s being driven by suction or injection. The working of the fluid is described in the flow model. We can reduce the governing nonlinear partial differential equations (PDEs) to a model of coupled systems of nonlinear ordinary differential equations using similarity variables (ODEs). In order to obtain the results of a coupled system of nonlinear ODEs, we discuss a method which is known as the differential transform method (DTM). The concern transform is an excellent mathematical tool to obtain the analytical series solution to the nonlinear ODEs. To observe beast agreement between analytical method and numerical method, we compare our result with the Rung-Kutta method of order four (RK4). We also provide simulation plots to the obtained result by using Mathematica. On these plots, we discuss the effect of different parameters which arise during the calculation of the flow model equations.

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Graphic Abstract

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