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. pp. 449-461.

[img]
Preview
PDF (paper.pdf)
Download (408kB) | Preview

    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
    University of East Anglia > Faculty of Science > Research Groups > Fluid and Solid Mechanics
    Related URLs:
    Depositing User: Mark Blyth
    Date Deposited: 13 Jan 2012 22:40
    Last Modified: 25 Jul 2018 03:36
    URI: https://ueaeprints.uea.ac.uk/id/eprint/35683
    DOI: 10.1007/s00707-011-0578-8

    Actions (login required)

    View Item