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

Author

Listed:
  • Khaja Moinuddin

    (Maulana Azad National Urdu University, India)

  • Syed Waseem Raja

    (Maulana Azad National Urdu University, India)

  • Syed Azharuddin

    (MANUU Polytechnic, India)

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.

Suggested Citation

Handle: RePEc:epw:ejmath:v:4:y:2023:i:6:id:14300
DOI: 10.24018/ejmath.2023.4.6.300
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