The competing effects of wall transpiration and stretching on Homann stagnation-point flow

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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Official URL: http://dx.doi.org/10.1016/j.euromechflu.2016.07.00...

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 and Information Sciences
Depositing User: Yi-Ping Ma
Date Deposited: 10 Nov 2016 08:21
Last Modified: 16 Jul 2017 10:38
URI: http://nrl.northumbria.ac.uk/id/eprint/28401

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