Vol. 10 No. 2 (2011): Mapana Journal of Sciences
Research Articles

Numerical Solution for Mixed Convection Heat Transfer from a Vertical Heated Plate Embedded in a Sparsely Packed Porous Medium

  • N. Nalinakshi,
  • P.A. Dinesh,
  • I.S. Shivakumara,
  • D.V. Chandrashekar
N. Nalinakshi
Atria Institute of Technology, Bangalore-560 024
P.A. Dinesh
M. S. Ramaiah Institute of Technology, Bangalore – 560 054
I.S. Shivakumara
UGC – CAS in Fluid Mechanics, Bangalore University
D.V. Chandrashekar
Vivekananda Institute of Technology, Bangalore – 560 074
Bio
DOI: https://doi.org/10.12723/mjs.19.4

Published 2021-08-26

Copyright (c) 2011

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Abstract

An improved numerical study on mixed convection from a heated vertical plate embedded in a Newtonian fluid saturated sparsely packed porous medium is undertaken by considering the variation of permeability, porosity and thermal conductivity. The boundary layer flow in the porous medium is governed by Lapwood – Forchheimer – Brinkman extended Darcy model. Similarity transformations are employed and the resulting ordinary differential equations are solved numerically by using shooting algorithm with Runge – Kutta – Fehlberg integration scheme to obtain velocity and temperature distributions. Besides, skin friction and Nusselt number are also computed for various physical parameters governing the problem under consideration. It is found that the inertial parameter has a significant influence in decreasing the flow field, whereas its influence is reversed on the rate of heat transfer for all values of permeability considered. Further, the obtained results under the limiting conditions were found to be in good agreement with the existing ones.

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