Natural convection from a Plane Vertical Porous Surface in Non Isothermal
In this paper, laminar natural convection flow from a permeable and isothermal vertical surface placed in non-isothermal surroundings is considered. Introducing appropriate transformations into the boundary layer equations governing the flow derives non-similar boundary layer equations. Results of b...
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Format: | Article |
Language: | English |
Published: |
Vilnius University Press
2004-04-01
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Series: | Nonlinear Analysis |
Subjects: | |
Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/15164 |
Summary: | In this paper, laminar natural convection flow from a permeable and isothermal vertical surface placed in non-isothermal surroundings is considered. Introducing appropriate transformations into the boundary layer equations governing the flow derives non-similar boundary layer equations. Results of both the analytical and numerical solutions are then presented in the form of skin-friction and Nusselt number. Numerical solutions of the transformed non-similar boundary layer equations are obtained by three distinct solution methods, (i) the perturbation solutions for small ξ (ii) the asymptotic solution for large ξ (iii) the implicit finite difference method for all ξ where ξ is the transpiration parameter. Perturbation solutions for small and large values of ξ are compared with the finite difference solutions for different values of pertinent parameters, namely, the Prandtl number Pr, and the ambient temperature gradient n. |
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ISSN: | 1392-5113 2335-8963 |