Numerical solution of Stokes problem for free convection effects in dissipative dusty medium
The flow past an infinite vertical isothermal plate started impulsively in its own plane in a viscous incompressible two-phase fluid has been considered by taking into account the viscous dissipative heat. The coupled nonlinear equations governing the flow are solved for fluid and particle phases by...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204408436 |
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| author | V. Venkataraman K. Kannan |
| author_facet | V. Venkataraman K. Kannan |
| author_sort | V. Venkataraman |
| collection | DOAJ |
| description | The flow past an infinite vertical isothermal plate started impulsively in its own plane in a viscous incompressible two-phase fluid has been considered by taking into account the viscous dissipative heat. The coupled nonlinear equations governing the flow are solved for fluid and particle phases by finite difference method. The velocity and temperature fields have been shown graphically for G being positive for dusty air and it was observed that the same results hold for water. (G denotes the Grashof number and G>0 corresponds to cooling of the plate by free convection currents.) The results for G<0
(heating of the plate) have been verified and discussed. The numerical values of skin friction and the rate of heat transfer of dusty fluid are shown in tables. The effects of G and E (the Eckert number) on the flow field are discussed. It is observed that dusty fluid causes an increase in skin friction. The increase in mass concentration of dust particles decreases the heat transfer rate. The presence of inert particles does not admit the reverse type of flow even for large values of t. |
| format | Article |
| id | doaj-art-b35fe61b463a46b3bd6216e549cf9257 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b35fe61b463a46b3bd6216e549cf92572025-08-20T02:23:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004723975398810.1155/S0161171204408436Numerical solution of Stokes problem for free convection effects in dissipative dusty mediumV. Venkataraman0K. Kannan1Shanmugha Arts, Science, Technology and Research Academy (SASTRA), Deemed University, Tirumalaisamudram, Thanjavur 613402, Tamil Nadu, IndiaShanmugha Arts, Science, Technology and Research Academy (SASTRA), Deemed University, Tirumalaisamudram, Thanjavur 613402, Tamil Nadu, IndiaThe flow past an infinite vertical isothermal plate started impulsively in its own plane in a viscous incompressible two-phase fluid has been considered by taking into account the viscous dissipative heat. The coupled nonlinear equations governing the flow are solved for fluid and particle phases by finite difference method. The velocity and temperature fields have been shown graphically for G being positive for dusty air and it was observed that the same results hold for water. (G denotes the Grashof number and G>0 corresponds to cooling of the plate by free convection currents.) The results for G<0 (heating of the plate) have been verified and discussed. The numerical values of skin friction and the rate of heat transfer of dusty fluid are shown in tables. The effects of G and E (the Eckert number) on the flow field are discussed. It is observed that dusty fluid causes an increase in skin friction. The increase in mass concentration of dust particles decreases the heat transfer rate. The presence of inert particles does not admit the reverse type of flow even for large values of t.http://dx.doi.org/10.1155/S0161171204408436 |
| spellingShingle | V. Venkataraman K. Kannan Numerical solution of Stokes problem for free convection effects in dissipative dusty medium International Journal of Mathematics and Mathematical Sciences |
| title | Numerical solution of Stokes problem for free convection effects in dissipative dusty medium |
| title_full | Numerical solution of Stokes problem for free convection effects in dissipative dusty medium |
| title_fullStr | Numerical solution of Stokes problem for free convection effects in dissipative dusty medium |
| title_full_unstemmed | Numerical solution of Stokes problem for free convection effects in dissipative dusty medium |
| title_short | Numerical solution of Stokes problem for free convection effects in dissipative dusty medium |
| title_sort | numerical solution of stokes problem for free convection effects in dissipative dusty medium |
| url | http://dx.doi.org/10.1155/S0161171204408436 |
| work_keys_str_mv | AT vvenkataraman numericalsolutionofstokesproblemforfreeconvectioneffectsindissipativedustymedium AT kkannan numericalsolutionofstokesproblemforfreeconvectioneffectsindissipativedustymedium |