On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium
A problem derived previously (Rohni et al., Transp Porous Media 92:1–14, 2012) for unsteady mixed convection flow in a porous medium involving a ‘temperature slip’ boundary condition and fluid transfer through the boundary is considered.It is shown that the solution to this problem can be directly r...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Springer Netherlands
2012
|
| Subjects: |
| _version_ | 1825803903110742016 |
|---|---|
| author | Merkin, John H. Mohd Rohni, Azizah Ahmad, Syakila Pop, Ioan |
| author_facet | Merkin, John H. Mohd Rohni, Azizah Ahmad, Syakila Pop, Ioan |
| author_sort | Merkin, John H. |
| collection | UUM |
| description | A problem derived previously (Rohni et al., Transp Porous Media 92:1–14, 2012) for unsteady mixed convection flow in a porous medium involving a ‘temperature slip’ boundary condition and fluid transfer through the boundary is considered.It is shown that the solution to this problem can be directly related to the solution of the corresponding problem for a prescribed surface temperature, involving a mixed convection parameter λ, an unsteadiness parameter A and transpiration parameter s. This latter problem is discussed in detail, particular attention being given to the steady analogue, A = 0, allowing for fluid transfer through the surface, and to the unsteady problem, A > 0, for an impermeable surface, s = 0. Asymptotic results are obtained for large fluid transfer rates, s≫1s≫1 and s<0,|s|≫1s<0,|s|≫1 and for large A. Particular attention is given to deriving asymptotic results for the critical points which determine the range of existence of solutions. |
| first_indexed | 2024-07-04T06:05:33Z |
| format | Article |
| id | uum-17609 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:05:33Z |
| publishDate | 2012 |
| publisher | Springer Netherlands |
| record_format | eprints |
| spelling | uum-176092016-03-20T01:51:21Z https://repo.uum.edu.my/id/eprint/17609/ On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium Merkin, John H. Mohd Rohni, Azizah Ahmad, Syakila Pop, Ioan QA Mathematics A problem derived previously (Rohni et al., Transp Porous Media 92:1–14, 2012) for unsteady mixed convection flow in a porous medium involving a ‘temperature slip’ boundary condition and fluid transfer through the boundary is considered.It is shown that the solution to this problem can be directly related to the solution of the corresponding problem for a prescribed surface temperature, involving a mixed convection parameter λ, an unsteadiness parameter A and transpiration parameter s. This latter problem is discussed in detail, particular attention being given to the steady analogue, A = 0, allowing for fluid transfer through the surface, and to the unsteady problem, A > 0, for an impermeable surface, s = 0. Asymptotic results are obtained for large fluid transfer rates, s≫1s≫1 and s<0,|s|≫1s<0,|s|≫1 and for large A. Particular attention is given to deriving asymptotic results for the critical points which determine the range of existence of solutions. Springer Netherlands 2012 Article PeerReviewed Merkin, John H. and Mohd Rohni, Azizah and Ahmad, Syakila and Pop, Ioan (2012) On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium. Transport in Porous Media, 94 (1). pp. 133-147. ISSN 0169-3913 http://doi.org/10.1007/s11242-012-9993-0 doi:10.1007/s11242-012-9993-0 doi:10.1007/s11242-012-9993-0 |
| spellingShingle | QA Mathematics Merkin, John H. Mohd Rohni, Azizah Ahmad, Syakila Pop, Ioan On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium |
| title | On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium |
| title_full | On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium |
| title_fullStr | On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium |
| title_full_unstemmed | On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium |
| title_short | On the temperature slip boundary condition in a mixed convection boundary-layer flow in a porous medium |
| title_sort | on the temperature slip boundary condition in a mixed convection boundary layer flow in a porous medium |
| topic | QA Mathematics |
| work_keys_str_mv | AT merkinjohnh onthetemperatureslipboundaryconditioninamixedconvectionboundarylayerflowinaporousmedium AT mohdrohniazizah onthetemperatureslipboundaryconditioninamixedconvectionboundarylayerflowinaporousmedium AT ahmadsyakila onthetemperatureslipboundaryconditioninamixedconvectionboundarylayerflowinaporousmedium AT popioan onthetemperatureslipboundaryconditioninamixedconvectionboundarylayerflowinaporousmedium |