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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001745 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548056793350144 |
|---|---|
| author | I. Mulolani M. Rahman |
| author_facet | I. Mulolani M. Rahman |
| author_sort | I. Mulolani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5d74a3606bb44cc3be80deadbbd39c49 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5d74a3606bb44cc3be80deadbbd39c492025-02-03T06:42:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123531933410.1155/S0161171200001745Similarity analysis for natural convection from a vertical plate with distributed wall concentrationI. Mulolani0M. Rahman1Department of Applied Mathematics, Daltech, Dalhousie University, P.O. Box 1000, NS, Halifax B3J 2X4, CanadaDepartment of Applied Mathematics, Daltech, Dalhousie University, P.O. Box 1000, NS, Halifax B3J 2X4, CanadaSteady 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.http://dx.doi.org/10.1155/S0161171200001745Natural convectionreactionsimilaritydistributed concentration. |
| spellingShingle | I. Mulolani M. Rahman Similarity analysis for natural convection from a vertical plate with distributed wall concentration International Journal of Mathematics and Mathematical Sciences Natural convection reaction similarity distributed concentration. |
| title | Similarity analysis for natural convection from a vertical plate with distributed wall concentration |
| title_full | Similarity analysis for natural convection from a vertical plate with distributed wall concentration |
| title_fullStr | Similarity analysis for natural convection from a vertical plate with distributed wall concentration |
| title_full_unstemmed | Similarity analysis for natural convection from a vertical plate with distributed wall concentration |
| title_short | Similarity analysis for natural convection from a vertical plate with distributed wall concentration |
| title_sort | similarity analysis for natural convection from a vertical plate with distributed wall concentration |
| topic | Natural convection reaction similarity distributed concentration. |
| url | http://dx.doi.org/10.1155/S0161171200001745 |
| work_keys_str_mv | AT imulolani similarityanalysisfornaturalconvectionfromaverticalplatewithdistributedwallconcentration AT mrahman similarityanalysisfornaturalconvectionfromaverticalplatewithdistributedwallconcentration |