THERMAL SCIENCE

International Scientific Journal

Muhammad Shoaib Arif

,

Wasfi Shatanawi

,

Yasir Nawaz

A NUMERICAL SCHEME FOR DARCY-FORCHHEIMER FLOW OF NON-NEWTONIAN NANOFLUID UNDER THE EFFECTS OF CONVECTIVE AND ZERO MASS FLUX BOUNDARY CONDITIONS

ABSTRACT
This research aims to propose a numerical scheme for solving boundary value problems. It is a two-stage, third-order accurate scheme known as a predictorcorrector scheme. The two main results are finding the region of the scheme where it is stable and determining the stability criterion for a set of linearized first-order differential equations. In addition, a mathematical model for heat and mass transfer of Darcy-Forchheimer flow of non-Newtonian nanofluid over the sheet is presented. The similarity transformations reduce PDE into a system of ODE for easier manipulation. The results are compared with the past research and those obtained by MATLAB SOLVER BVP4C. The results show that the velocity profile slightly decays by enhancing the Weisenberg number.
KEYWORDS
Proposed Numerical Scheme, stability, non-Newtonian fluid, Darcy-Forchheimer Flow, shooting method
PAPER SUBMITTED: 2022-12-30
PAPER REVISED: 2023-03-02
PAPER ACCEPTED: 2023-03-18
PUBLISHED ONLINE: 2023-04-22
DOI REFERENCE: https://doi.org/10.2298/TSCI221230076A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 6, PAGES [4581 - 4595]
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A numerical scheme for Darcy-Forchheimer flow of non-Newtonian nanofluid under the effects of convective and zero mass flux boundary conditions

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