Finite difference schemes for MHD mixed convective Darcy–forchheimer flow of Non-Newtonian fluid over oscillatory sheet: A computational study

Frontiers in Physics

Physics

Kamaleldin Abodayeh¹  Muhammad Shoaib Arif²  Yasir Nawaz³  Muavia Mansoor⁴ 

[1] Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, Saudi Arabia;Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, Saudi Arabia;Department of Mathematics, Air University, Islamabad, Pakistan;Department of Mathematics, Air University, Islamabad, Pakistan;Department of Mathematics, University of Wah, Wah Cant, Pakistan;

关键词: numerical schemes for ODEs;    stability;    casson fluid flow;    joule heating and numerical solution;    convergence and extension;   

DOI  :  10.3389/fphy.2023.1072296

 received in 2022-10-17, accepted in 2023-01-09,  发布年份 2023

来源: Frontiers

【 摘 要 】

This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order scheme is deliberated. The stability of the proposed scheme is set for scalar partial differential equation, whereas its convergence is specified for a system of parabolic equations. The scheme is applied to linear scalar partial differential equation and non-linear systems of time-dependent partial differential equations. The non-linear system comprises a set of governing equations for the heat and mass transfer of magnetohydrodynamics (MHD) mixed convective Casson nanofluid flow across the oscillatory sheet with the Darcy–Forchheimer model, joule heating, viscous dissipation, and chemical reaction. It is noted that the concentration profile is escalated by mounting the thermophoresis parameter. Also, the proposed scheme converges faster than the existing Crank-Nicolson scheme. The findings that were provided in this study have the potential to serve as a helpful guide for investigations into fluid flow in closed-off industrial settings in the future.

【 授权许可】

Unknown   
Copyright © 2023 Nawaz, Arif, Abodayeh and Mansoor.