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Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate

P. Pai Nityanand, B. Devaki, G. Bhat Pareekshith, V. S. Sampath Kumar*

Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, 576104, India

* Corresponding Author: V. S. Sampath Kumar. Email: email

(This article belongs to the Special Issue: Computational and Numerical Advances in Heat Transfer: Models and Methods II)

Frontiers in Heat and Mass Transfer 2024, 22(2), 655-673. https://doi.org/10.32604/fhmt.2024.050237

Abstract

The study in this manuscript aims to analyse the impact of thermal radiation on the two-dimensional magnetohydrodynamic flow of upper convected Maxwell (UCM) fluid between parallel plates. The lower plate is porous and stationary, while the top plate is impermeable and moving. The equations that describe the flow are transformed into non-linear ordinary differential equations with boundary conditions by employing similarity transformations. The Homotopy Perturbation Method (HPM) is then employed to approach the obtained non-linear ordinary differential equations and get an approximate analytical solution. The analysis includes plotting the velocity profile for different Reynolds number values and temperature distribution curves for distinct physical parameters such as Reynolds number, Deborah number, magnetic parameter, porosity parameter, radiation parameter, and Prandtl number. In the case of injection, the temporal profile declines with an increase in radiation parameter as the plates move away from each other, and an opposite trend is observed as plates move towards each other. Furthermore, the skin friction coefficient and heat transfer rate are analysed for the impact of these parameters using HPM. The numerical values obtained using HPM are compared using the classical finite difference method. The results show good agreement between the semi-analytical and numerical solutions.

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APA Style
Nityanand, P.P., Devaki, B., Pareekshith, G.B., Kumar, V.S.S. (2024). Radiation effect on heat transfer analysis of MHD flow of upper convected maxwell fluid between a porous and a moving plate. Frontiers in Heat and Mass Transfer, 22(2), 655-673. https://doi.org/10.32604/fhmt.2024.050237
Vancouver Style
Nityanand PP, Devaki B, Pareekshith GB, Kumar VSS. Radiation effect on heat transfer analysis of MHD flow of upper convected maxwell fluid between a porous and a moving plate. Front Heat Mass Transf. 2024;22(2):655-673 https://doi.org/10.32604/fhmt.2024.050237
IEEE Style
P.P. Nityanand, B. Devaki, G.B. Pareekshith, and V.S.S. Kumar "Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate," Front. Heat Mass Transf., vol. 22, no. 2, pp. 655-673. 2024. https://doi.org/10.32604/fhmt.2024.050237



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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