Modelling the calmed region behind a spot

Author:

Brown S.N1,Smith F.T1

Affiliation:

1. Department of Mathematics, University College LondonGower Street, London WC1E 6BT, UK

Abstract

A theoretical model of the laminar ‘calmed region’ following a three-dimensional turbulent spot within a transitioning two-dimensional boundary layer is formulated and discussed. The flow is taken to be inviscid, and the perturbation mean flow surface streamlines calculated represent disturbances to the basic slip velocity. Available experimental evidence shows a fuller, more stable, streamwise profile in a considerable region trailing the spot, with cross-flow ‘inwash’ towards the line of symmetry. Present results are in qualitative agreement with this evidence.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference8 articles.

1. Initial-value problems for spot disturbances in incompressible or compressible boundary layers

2. On the growth of turbulent regions in laminar boundary layers;Gad-el-Hak M;J. Fluid Mech,1981

3. Investigation of the Calmed Region Behind a Turbulent Spot

4. Schubauer G. B. Klebanoff P. S. 1956 Contributions on the mechanics of boundary-layer transition. naca report no. 1289. Langley VA: National Advisory Committee for Aeronautics.

5. On the simultaneous measurements of two velocity components in the turbulent spot

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