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Influence of MHD flow on shrinking sheet with partial slip and heat generation at stagnation point


Citation

Ismail, Nurul Syuhada and Mohd Shaipullah, Norhunaini and Azhar, Siti Aishah and Md Arifin, Norihan and Ramli, Norshafira and Mohamed Isa, Siti Suzilliana Putri (2024) Influence of MHD flow on shrinking sheet with partial slip and heat generation at stagnation point. Journal of Advanced Research in Numerical Heat Transfer, 28 (1). pp. 43-54. ISSN 2735-0142

Abstract

Fluid dynamics encompasses the fundamental principles of continuity, momentum, and energy conservation, which are applied through mathematical models like the Navier-Stokes equations. These equations are essential for describing how fluid properties like velocity, pressure, and density change in response to forces and environmental conditions. Thus, this study attempted to explore the characteristics of flow and heat transfer of a shrinking sheet in magnetohydrodynamics (MHD), along with the effect of partial slip and heat generation on the system. We employ a similarity transformation technique for turning the governing partial differential equations into ordinary differential equations. These equations are solved numerically through shooting method in Maple, and the results are compared to the previous research. The analysis shows that the suction parameter and velocity slip parameter have an increasing effect on both the skin friction rate and the heat transfer rate. In the meantime, the heat transfer rate decreases as the parameter increases for the heat generation, magnetic parameter, Eckert number and thermal slip parameter. The bvp4c solver in MATLAB is implemented to conduct a stability analysis and determine the physically feasible solution. According to our research, the stability of the solution occurs only in the first solution.


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Additional Metadata

Item Type: Article
Subject: Computational Mechanics
Subject: Automotive Engineering
Subject: Aerospace Engineering
Divisions: Faculty of Science
Institute for Mathematical Research
Centre for Foundation Studies in Science of Universiti Putra Malaysia
DOI Number: https://doi.org/10.37934/arnht.28.1.4354
Publisher: Penerbit Akademia Baru
Keywords: Boundary layer; Dual solution; Heat transfer; Stability analysis; Suction
Sustainable Development Goals (SDGs): SDG 9: Industry, Innovation and Infrastructure, SDG 7: Affordable and Clean Energy, SDG 11: Sustainable Cities and Communities
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 25 Jun 2026 06:48
Last Modified: 25 Jun 2026 06:48
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.37934/arnht.28.1.4354
URI: http://psasir.upm.edu.my/id/eprint/126529
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