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1 Mechanics and Mechanical Engineering

1 2001

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Ibrahim F. S., Omer Gh. M.

Mechanics and Mechanical Engineering

2001

Vol. 5, nr 2

155-168

The problem of mixed convection along non-isothermal vertical flat plate embedded in a porous medium with variable permeability is analyzed. Non-similar solutions are obtained for power- law variation of the surface heat flux in the form qw(x) = bxm. The entire mixed convection regime is covered by non-similarity parameter ζ = [1+Rax/Pe3/2x)1/3]-1, from pure forced convection ζ = 1 to pure free convection ζ = 0.0. A finite difference scheme was used to solve the system of transformed governing equations. Velocity and temperature profiles, and local Nusselt numbers are presented. It is found that as ζ decreases from 1 to 0, the thermal boundary thickness increases first and then decreases. But the local Nusselt number in the form Nux(Pe1/2x+Ra1/3x)-1 decreases first and then increases. The variation of permeability increases Nusselt number of all values of ζ.