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Nonsimilarity solutions for mixed convection from vertical plate embedded in a porous medium with variable permeability - variable surface heat flux

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
155--168
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
  • Department of Mathematics. Faculty of Science, Assiut University, Assiut 71516, Egypt.
autor
  • Department of Mathematics. Faculty of Science, Assiut University, Assiut 71516, Egypt.
Bibliografia
  • [1] P. Cheng, Similarity solutions for mixed convection from horizontal impermeable surfaces in saturated porous media, Int. J. Heat Mass Transfer 20, 893-898 (1977).
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  • [3] P. Cheng and W.J. Minkowycz, Free convection about a vertical flat plate embedded in a porous media with application to heat transfer from a dike, J. Geophys. Res. 82, 2040-2044 (1977).
  • [4] W.J. Minkowycz and P. Cheng, Free convection about a vertical cylinder embedded in a porous medium, Int. J. Heat Mass Transfer 19, 805-813 (1976).
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  • [8] A. Nakayama and H. Koyama, A General similarity transformation for combined free and forced convection flows within a fluid saturated porous medium, J. Heat Transfer 109, 1041-1045 (1987).
  • 19] A. Nakayama and I. Pop, A unified similarity transformation for free, forced and mixed convection in Darcy and non-Darcy porous media, Int. J. Heat Mass Transfer 34, 357-367 (1991).
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  • [14] M. Nayagam, P. Jain and G. Fairweather, The effect of surface mass transfer on buoyancy induced flow in a variable-porosity medium adjacent a horizontal heated plate, Int. Comm. Heat Mass Transfer 14, 495-506 (1987).
  • [15] A.J. Chamkha and K.A. Abdul-Rahim, Non-similar hydromagnetic simultaneous heat and mass transfer by mixed convection from a vertical plate embedded in a uniform porous medium, Numerical Heat Transfer, Part A, 36, 327-344 (1999).
  • [16] F.S. Ibrahim and I.A. Hassanien, Influence of variable permeability on combined convection along a non- isothermal wedge in saturated porous medium, Transport in porous media 39, 57-71 (2000).
  • [17] I.A. Hassanien and Gh.A. Omer, Nonsimilarity solutions for mixed convection flow along non-isothermal vertical surfaces embedded in porous media with variable permeability , J. of Porous Media, In Press.
  • [18] F.S. Ibrahim, Non-Darcian effect on mixed convectionof non-Newtonian fluids along a vertical plate with variable heat flux in porous media, Mechanics and Mechanical Engineering 5,41-54 (2001).
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD7-0033-0084
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