A Heat Transfer Problem with a Velocity Slip in Porous Media: A Galerkin Approach

Khaja Moinuddin, Syed Waseem Raja and Syed Azharuddin
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Khaja Moinuddin: Maulana Azad National Urdu University, India
Syed Waseem Raja: Maulana Azad National Urdu University, India
Syed Azharuddin: MANUU Polytechnic, India

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 6, 31-37

Abstract: In this paper a steady flow of a viscous fluid of finite depth in a porous medium over a fixed horizontal, impermeable bottom with a velocity slip is studied. A Galerkin Method of solution is considered to solve Momentum and Energy equations as the truncation errors both in general and special cases may result in complex situations to get the analytical form of solutions. Using the obtained velocity profile, the Temperature, Mean velocity, Mean Temperature, and heat transfer rates (Nusselt Number) on the free surface as well as on the bottom plate are obtained. The effect of velocity slip in the obtained fields is studied wherever possible. A special case of low porosity is studied and the results are illustrated graphically.

Keywords: Porosity coefficient; Porous Medium; Temperature; Velocity (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:6:id:14300

DOI: 10.24018/ejmath.2023.4.6.300

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