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...
Saved in:
Main Authors: | , , , |
---|---|
Format: | Article |
Published: |
Elsevier Science Ltd.
2003
|
Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/7229/ http://dx.doi.org/10.1016/S0017-9310(03)00122-4 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | 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 |
---|