JP Journal of Heat and Mass Transfer
Volume 2, Issue 2, Pages 117 - 133
(June 2008)
|
|
INSTABILITY ANALYSIS OF A REACTIVE BOUNDARY LAYER FLOW IN THE PRESENCE OF LARGE BUOYANCY
S. Shateyi (South Africa), P. Sibanda (South Africa) and S. S. Motsa (Swaziland)
|
Abstract: In this paper we investigate the effects of the Damkohler and Schmidt numbers on the inviscid instability of reactive boundary layer flow over a horizontal rigid flat surface with heat and mass transfer. The fluid buoyancy caused simultaneously by thermal and species diffusion is assumed large. This then leads to a two-layered flow structure with the disturbances governed by the Taylor-Goldstein equation. A Chebyshev collocation spectral method was used to find the eigen-solution of the Taylor-Goldstein equation. The growth rate and phase speeds of the inviscid wave modes are obtained for varying buoyancy, Damkohler and Schmidt numbers. |
Keywords and phrases: buoyancy, Damkohler number, inviscid wave modes, growth rate, Taylor-Goldstein equations. |
Communicated by Chen-I Hung |
Number of Downloads: 229 | Number of Views: 597 |
|