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Radiation effect on forced convective flow and heat transfer over a porous plate in a porous medium

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Abstract

Heat transfer analysis has been presented for the boundary layer forced convective flow of an incompressible fluid past a plate embedded in a porous medium. The similarity solutions for the problem are obtained and the reduced nonlinear ordinary differential equations are solved numerically. In case of porous plate, fluid velocity increases for increasing values of suction parameter whereas due to injection, fluid velocity is noticed to decrease. The non-dimensional temperature increases with the increasing values of injection parameter. A novel result of this investigation is that the flow separation occurred due to suction/injection may be controlled by increasing the permeability parameter of the medium. The effect of thermal radiation on temperature field is also analyzed.

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Abbreviations

c p :

Specific heat at constant pressure

Da x :

Local Darcy number

F :

Non-dimensional stream function

F′:

Streamwise velocity

k :

Permeability of the porous medium

k 1 :

Parameter of the porous medium

k * :

Absorption coefficient

N :

Radiation parameter

Nu x :

Local Nusselt number

Pr :

Prandtl number

q r :

Radiative heat flux

Re x :

Local Reynolds number

S :

Suction/injection parameter

T :

Temperature of the fluid

T w :

Temperature of the wall of the surface

T ∞ :

Free-stream temperature

u,v:

Components of velocity in x and y directions

u ∞ :

Free stream velocity

v w :

Velocity of suction [v w >0] or injection [v w <0]

η :

Similarity variable

κ :

Coefficient of thermal conductivity

μ :

Dynamic viscosity

ν :

Kinematic viscosity

ψ :

Stream function

σ :

Stefan-Boltzman constant

ρ :

Density of the fluid

θ :

Non-dimensional temperature

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Authors and Affiliations

  1. Department of Mathematics, M.U.C. Women’s College, Burdwan, 713104, India

    S. Mukhopadhyay

  2. Department of Mathematics, The University of Burdwan, Burdwan, 713104, W.B., India

    G. C. Layek

Authors
  1. S. Mukhopadhyay
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  2. G. C. Layek
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Correspondence to G. C. Layek.

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Mukhopadhyay, S., Layek, G.C. Radiation effect on forced convective flow and heat transfer over a porous plate in a porous medium. Meccanica 44, 587–597 (2009). https://doi.org/10.1007/s11012-009-9211-5

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  • DOI: https://doi.org/10.1007/s11012-009-9211-5

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