The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium
The Brinkman model is used for the theoretical study of the mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a fluid-saturated porous medium in a stream flowing vertically upwards. Both the cases of a heated (assisting flo...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Elsevier Science Ltd.
2003
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/7229/ |
| _version_ | 1848891427776364544 |
|---|---|
| author | Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan |
| author_facet | Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan |
| author_sort | Nazar, Roslinda |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | The Brinkman model is used for the theoretical study of the mixed convection boundary layer flow past a horizontal
circular cylinder with a constant surface temperature and embedded in a fluid-saturated porous medium in a stream
flowing vertically upwards. Both the cases of a heated (assisting flow) and a cooled (opposing flow) cylinder are
considered. It is shown that there are two governing dimensionless parameters, which are related to thermal and viscous effects. These are the Darcy–Brinkman parameter C and the mixed convection parameter k. It is shown that for C ¼ 0 the problem reduces to the similarity Darcys model, while for C 6¼ 0 the governing equations are non-similar and they have been solved numerically using the Keller-box method. It is found that heating the cylinder (k > 0) delays separation of the boundary layer and can, if the cylinder is warm enough (large values of k > 0), suppress it completely. On the other hand, cooling the cylinder (k < 0) brings the boundary layer separation point nearer to the lower stagnation point and for sufficiently cold cylinder (large values of k < 0) there will not be a boundary layer on the cylinder. A complete physical description of the problem is presented throughout the analysis. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future |
| first_indexed | 2025-11-15T20:57:48Z |
| format | Article |
| id | utm-7229 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T20:57:48Z |
| publishDate | 2003 |
| publisher | Elsevier Science Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-72292009-01-02T00:50:20Z http://eprints.utm.my/7229/ The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan QA Mathematics The Brinkman model is used for the theoretical study of the mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a fluid-saturated porous medium in a stream flowing vertically upwards. Both the cases of a heated (assisting flow) and a cooled (opposing flow) cylinder are considered. It is shown that there are two governing dimensionless parameters, which are related to thermal and viscous effects. These are the Darcy–Brinkman parameter C and the mixed convection parameter k. It is shown that for C ¼ 0 the problem reduces to the similarity Darcys model, while for C 6¼ 0 the governing equations are non-similar and they have been solved numerically using the Keller-box method. It is found that heating the cylinder (k > 0) delays separation of the boundary layer and can, if the cylinder is warm enough (large values of k > 0), suppress it completely. On the other hand, cooling the cylinder (k < 0) brings the boundary layer separation point nearer to the lower stagnation point and for sufficiently cold cylinder (large values of k < 0) there will not be a boundary layer on the cylinder. A complete physical description of the problem is presented throughout the analysis. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future Elsevier Science Ltd. 2003 Article PeerReviewed Nazar, Roslinda and Amin, Norsarahaida and Filip, Diana and Pop, Ioan (2003) The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium. International Journal of Heat and Mass Transfer, 46 (17). pp. 3167-3178. ISSN 0017-9310 http://dx.doi.org/10.1016/S0017-9310(03)00122-4 10.1016/S0017-9310(03)00122-4 |
| spellingShingle | QA Mathematics Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium |
| title | The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium
|
| title_full | The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium
|
| title_fullStr | The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium
|
| title_full_unstemmed | The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium
|
| title_short | The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium
|
| title_sort | brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium |
| topic | QA Mathematics |
| url | http://eprints.utm.my/7229/ http://eprints.utm.my/7229/ http://eprints.utm.my/7229/ |