Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition
The Darcy-Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. The surfaces are subjected to a mixed thermal boundary condition characterized by a parameter m; m=0, 1, ∞ correspond to the cases of prescribed temperature, prescribed heat flux and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292001029 |
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| _version_ | 1832559908687446016 |
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| author | G. Ramanaiah V. Kumaran |
| author_facet | G. Ramanaiah V. Kumaran |
| author_sort | G. Ramanaiah |
| collection | DOAJ |
| description | The Darcy-Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. The surfaces are subjected to a mixed thermal boundary condition characterized by a parameter m; m=0, 1, ∞ correspond to the cases of prescribed temperature, prescribed heat flux and prescribed heat transfer coefficient respectively. It is shown that the solutions for different m are dependent and a transformation group has been found, through which one can get solution for any m provided solution for a particular value of m is known. The effects of Darcy number on skin friction and rate of heat transfer are analyzed. |
| format | Article |
| id | doaj-art-869447df8ab04e928f4064024abc3f1d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-869447df8ab04e928f4064024abc3f1d2025-02-03T01:28:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115478979410.1155/S0161171292001029Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary conditionG. Ramanaiah0V. Kumaran1Department of Mathematics, Anna University, Madras 600 025, IndiaDepartment of Mathematics, Anna University, Madras 600 025, IndiaThe Darcy-Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. The surfaces are subjected to a mixed thermal boundary condition characterized by a parameter m; m=0, 1, ∞ correspond to the cases of prescribed temperature, prescribed heat flux and prescribed heat transfer coefficient respectively. It is shown that the solutions for different m are dependent and a transformation group has been found, through which one can get solution for any m provided solution for a particular value of m is known. The effects of Darcy number on skin friction and rate of heat transfer are analyzed.http://dx.doi.org/10.1155/S0161171292001029free convectionboundary layerporous media. |
| spellingShingle | G. Ramanaiah V. Kumaran Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition International Journal of Mathematics and Mathematical Sciences free convection boundary layer porous media. |
| title | Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition |
| title_full | Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition |
| title_fullStr | Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition |
| title_full_unstemmed | Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition |
| title_short | Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition |
| title_sort | darcy brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition |
| topic | free convection boundary layer porous media. |
| url | http://dx.doi.org/10.1155/S0161171292001029 |
| work_keys_str_mv | AT gramanaiah darcybrinkmanfreeconvectionaboutawedgeandaconesubjectedtoamixedthermalboundarycondition AT vkumaran darcybrinkmanfreeconvectionaboutawedgeandaconesubjectedtoamixedthermalboundarycondition |