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Analytical Solution of Flow and Heat Transfer over a Permeable Stretching Wall in a Porous Medium

Author

Listed:
  • M. Dayyan
  • S. M. Seyyedi
  • G. G. Domairry
  • M. Gorji Bandpy

Abstract

Boundary layer flow through a porous medium over a stretching porous wall has seen solved with analytical solution. It has been considered two wall boundary conditions which are power-law distribution of either wall temperature or heat flux. These are general enough to cover the isothermal and isoflux cases. In addition to momentum, both first and second laws of thermodynamics analyses of the problem are investigated. The governing equations are transformed into a system of ordinary differential equations. The transformed ordinary equations are solved analytically using homotopy analysis method. A comprehensive parametric study is presented, and it is shown that the rate of heat transfer increases with Reynolds number, Prandtl number, and suction to the surface.

Suggested Citation

  • M. Dayyan & S. M. Seyyedi & G. G. Domairry & M. Gorji Bandpy, 2013. "Analytical Solution of Flow and Heat Transfer over a Permeable Stretching Wall in a Porous Medium," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, September.
    • Handle: RePEc:hin:jnlmpe:682795
    DOI: 10.1155/2013/682795
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    Cited by:

    1. Farooq Ahmad & A. Othman Almatroud & Sajjad Hussain & Shan E. Farooq & Roman Ullah, 2020. "Numerical Solution of Nonlinear Diff. Equations for Heat Transfer in Micropolar Fluids over a Stretching Domain," Mathematics, MDPI, vol. 8(5), pages 1-18, May.

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