Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane
Steady two-dimensional free convection flow of a thermally stratified viscous fluid through a highly porous medium bounded by a vertical plane surface of varying temperature, is considered. Analytical expressions for the velocity, temperature and the rate of heat transfer are obtained by perturbatio...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000773 |
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| _version_ | 1832549003838881792 |
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| author | H. K. Mondal T. K. Chaudhury |
| author_facet | H. K. Mondal T. K. Chaudhury |
| author_sort | H. K. Mondal |
| collection | DOAJ |
| description | Steady two-dimensional free convection flow of a thermally stratified viscous fluid through a highly porous medium bounded by a vertical plane surface of varying temperature, is considered. Analytical expressions for the velocity, temperature and the rate of heat transfer are obtained by perturbation method. Velocity distribution and rate of heat transfer for different values of parameters are shown in graphs. Velocity distribution is also obtained for certain values of the parameters by integrating the coupled differential equations by Runge-Kutta method and compared with the analytical solution. The chief concern of the paper is to study the effect of equilibrium temperature gradient on the velocity and the rate of heat transfer. |
| format | Article |
| id | doaj-art-0be1acaec989457ead56fb30b2905c93 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0be1acaec989457ead56fb30b2905c932025-02-03T06:12:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117353754310.1155/S0161171294000773Free convective flow of a stratified fluid through a porous medium bounded by a vertical planeH. K. Mondal0T. K. Chaudhury1Department of Mathematics, University of Burdwan, Burdwan, West Bengal, IndiaDepartment of Mathematics, University of Burdwan, Burdwan, West Bengal, IndiaSteady two-dimensional free convection flow of a thermally stratified viscous fluid through a highly porous medium bounded by a vertical plane surface of varying temperature, is considered. Analytical expressions for the velocity, temperature and the rate of heat transfer are obtained by perturbation method. Velocity distribution and rate of heat transfer for different values of parameters are shown in graphs. Velocity distribution is also obtained for certain values of the parameters by integrating the coupled differential equations by Runge-Kutta method and compared with the analytical solution. The chief concern of the paper is to study the effect of equilibrium temperature gradient on the velocity and the rate of heat transfer.http://dx.doi.org/10.1155/S0161171294000773free convectionporous medium and stratified fluid. |
| spellingShingle | H. K. Mondal T. K. Chaudhury Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane International Journal of Mathematics and Mathematical Sciences free convection porous medium and stratified fluid. |
| title | Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane |
| title_full | Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane |
| title_fullStr | Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane |
| title_full_unstemmed | Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane |
| title_short | Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane |
| title_sort | free convective flow of a stratified fluid through a porous medium bounded by a vertical plane |
| topic | free convection porous medium and stratified fluid. |
| url | http://dx.doi.org/10.1155/S0161171294000773 |
| work_keys_str_mv | AT hkmondal freeconvectiveflowofastratifiedfluidthroughaporousmediumboundedbyaverticalplane AT tkchaudhury freeconvectiveflowofastratifiedfluidthroughaporousmediumboundedbyaverticalplane |