Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
760274 | Communications in Nonlinear Science and Numerical Simulation | 2007 | 10 Pages |
Abstract
In this work the coupled non-linear partial differential equations, governing the free convection from a wavy vertical wall under a power law heat flux condition, are solved numerically. For both Darcy and Forchheimer extended non-Darcy models, a wavy to flat surface transformation is applied and the governing equations are reduced to boundary layer equations. A finite difference scheme based on the Keller Box approach has been used in conjunction with a block tri-diagonal solver for obtaining the solution. Detailed simulations are carried out to investigate the effect of varying parameters such as power law heat flux exponent m, wavelength-amplitude ratio a and the transformed Grashof number Grâ². Both surface undulations and inertial forces increase the temperature of the vertical surface while increasing m reduces it. The wavy pattern observed in surface temperature plots, become more prominent with increasing m or a but reduces as Grâ² increases.
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Authors
Shalini Shalini, B.V. Rathish Kumar,