Weidman, Patrick and Ma, Yi-Ping (2016) The competing effects of wall transpiration and stretching on Homann stagnation-point flow. European Journal of Mechanics - B/Fluids, 60. pp. 237-241. ISSN 0997-7546
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Abstract
The simultaneous effects of normal transpiration through a radially stretching porous plate beneath Homann stagnation-point flow are considered. The exact similarity reduction of the Navier–Stokes equations depends on the stretching parameter λ and the transpiration parameter μ. Dual solutions are found over a limited range λc<λ<−1 in the case of suction (μ>0) but unique solutions exist for blowing (μ<0). It is shown that the range of dual solutions increases with μ, but a self-similar stability analysis reveals that the lower solution branches are unstable while upper solution branches are stable.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Homann stagnation-point flow; Transpiration; Radial stretching; Nonuniqueness; Stability |
| Subjects: | F300 Physics G100 Mathematics H300 Mechanical Engineering |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Dr Yi-Ping Ma |
| Date Deposited: | 10 Nov 2016 08:21 |
| Last Modified: | 01 Aug 2021 03:23 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/28401 |
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