Oscillatory oblique stagnation-point flow toward a plane wall

Tooke, R, Blyth, MG and Hammerton, PW (2012) Oscillatory oblique stagnation-point flow toward a plane wall. Acta Mechanica, 223 (3). pp. 449-461.

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Abstract

Two-dimensional oscillatory oblique stagnation-point flow toward a plane wall is investigated. The problem is a eneralisation of the steady oblique stagnation-point flow examined by previous workers. Far from the wall, the flow is composed of an irrotational orthogonal stagnation-point flow with a time-periodic strength, a simple shear flow of constant vorticity, and a time-periodic uniform stream. An exact solution of the Navier-Stokes equations is sought for which the flow streamfunction depends linearly on the coordinate parallel to the wall. The problem formulation reduces to a coupled pair of partial differential equations in time and one spatial variable. The first equation describes the oscillatory orthogonal stagnation-point flow discussed by previous workers. The second equation, which couples to the first, describes the oblique component of the flow. A description of the flow velocity field, the instantaneous streamlines, and the particle paths is sought through numerical solutions of the governing equations and via asymptotic analysis.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Mark Blyth
Date Deposited: 13 Jan 2012 22:40
Last Modified: 21 Jul 2020 23:28
URI: https://ueaeprints.uea.ac.uk/id/eprint/35683
DOI: 10.1007/s00707-011-0578-8

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