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2 Applied Mechanics and Engineering

2 2000

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Viscous-inviscid interactions for surface-cooled axisymmetric boundary-layer flows

Elliott J. W., Strange M. E.

Applied Mechanics and Engineering

2000

Vol. 5, no 4

923-957

A theoretical, high Reynolds number, investigation into the combined influence of surface cooling and curvature on the stability and transition properties of a compressible axisymmetric boundary-layer is presented. Here we consider the boundary-layer flow along a semi-infinite circular cylinder where the temperature of the cylinder surface is kept significantly below the free-stream temperature and the cylinder radius is comparable with the boundary-layer thickness. Here we concentrate on linear, viscous-inviscid interactive Tollmien-Schlichting modes, rather than the inviscid, inflectional kind.

The axisymmetric compressible boundary layer flow along a circular cylinder

Elliott J. W.

Applied Mechanics and Engineering

2000

Vol. 5, no 3

715-751

A numerical and analytical investigation of the compressible axisymmetric boundary-lager flow over a circular cylinder is presented for both adiabatic flow and the case of heated or cooled walk. First, a numerical solution to the governing equations is presented for a variety of wall conditions. The remainder and majority of the paper is then concerned with an analysis of the far-downstream flow where curvature becomes a dominant feature. Here the flow takes on a double structure, with an Oseen type of outer flow. The problem reduces to matching to an inner solution which, in contrast to the incompressible case, is found to be non-trivial. Three forms of the inner solution are constructed, firstly to justify obtaining a new result and secondly to rebut the assertion that matching is only possible for a single approach. Further the use of a general power law form for the viscosity law is considered. The resulting asymptotic forms are then compared with the numerical results of the far downstream flow.