Volume 10, Issue 2 (February 2023), Pages: 166-174

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 Original Research Paper

 Numerical solution for MHD flow and heat transfer of Maxwell fluid over a stretching sheet

 Author(s): 

 Faisal Salah *, A. Alqarni

 Affiliation(s):

 Department of Mathematics, College of Science and Arts, King Abdul-Aziz University, Jeddah, Saudi Arabia

  Full Text - PDF          XML

 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0003-0410-001X

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2023.02.020

 Abstract:

In this article, the numerical solutions for the flow of heat transfer for an incompressible Maxwell fluid on a stretching sheet channel are presented in this study. By applying appropriate transformations, the system of governing partial differential equations is transformed into a system of ordinary differential equations. A successive linearization method (SLM) is used to describe and solve the resulting nonlinear equations numerically using MATLAB software. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of β₁ changes through SLM for introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Non-Newtonian parameters on the flow field, like mixed convection, Hartman, Deborah, and Prandtl numbers, are explored and illustrated graphically. Apart from that, a great deal of agreement has been seen between the current results and the published data that have been evaluated and compared in a limited way.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Maxwell fluid, Successive linearization, Heat transfer, MHD, Stretching sheet channel

 Article History: Received 12 July 2022, Received in revised form 24 October 2022, Accepted 7 November 2022

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Salah F and Alqarni A (2023). Numerical solution for MHD flow and heat transfer of Maxwell fluid over a stretching sheet. International Journal of Advanced and Applied Sciences, 10(2): 166-174

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 Fig. 7 Fig. 8 Fig. 9 

 Tables

 Table 1 Table 2 

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