Similarity analysis for natural convection from a vertical plate with distributed wall concentration
Steady laminar natural convection flow over a semi-infinite vertical plate is examined in this paper. It is assumed that the concentration of a species along the plate follows some algebraic law with respect to chemical reaction. Similarity solutions may then be obtained for different orders of reac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001745 |
| Summary: | Steady laminar natural convection flow over a semi-infinite
vertical plate is examined in this paper. It is assumed that the
concentration of a species along the plate follows some algebraic
law with respect to chemical reaction. Similarity solutions may
then be obtained for different orders of reaction. The fundamental
parameters of this problem are the Schmidt number, Sc, and
reaction order, n. Numerical results, based on the fourth order
Runge-Kutta method, for Schmidt number ranging from 0.0 to 100.0 and reaction order from 0.0 to 1.5 are presented. When
chemical reaction occurs, diffusion and velocity domains are seen
to expand out from the plate. For large values of n, one may
expect a smaller diffusion layer which, at fixed Schmidt number, is
associated with increased velocity and reduced convection-layer. |
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| ISSN: | 0161-1712 1687-0425 |