A laboratory study of stratified accelerating shear flow over a rough boundary

Author:

Thorpe S. A.

Abstract

Experiments are made in which a stratified shear flow, accelerating from rest and containing a level where the direction of flow reverses, is generated over a rough floor. The roughness elements consist of parallel square bars set at regular intervals normal to the direction of flow. Radiating internal gravity waves are generated in the early stages of flow, whilst flow separation behind the bars produces turbulent mixing regions which eventually amalgamate and entirely cover the floor. This turbulent layer spreads vertically less rapidly than the internal waves. Observed features of the waves are compared with those predicted by a model in which the floor is assumed to be sinusoidal, and fair agreement is found for the amplitude, phase and vertical wavenumber of the waves, even when the latter becomes large.The rate of spread of the turbulent layer depends on the separation of the bars. Some interaction between the turbulence and the internal waves occurs near the edge of the turbulent layer. Wave-breaking is prevalent and the vertical scale of the waves is affected by turbulent eddies. The radiating internal waves are suppressed by replacing the bars by an array of square cubes, but there is continued evidence of features resembling internal waves near the boundary of the turbulent region. Structures are observed which bear some similarities to those found at the foot of the near-surface mixing layer in a lake.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference16 articles.

1. Thorpe, S. A. 1973 Turbulence in stably stratified fluids. A review of laboratory experiments Boundary-Layer Met. 5,95–119.

2. Woods, J. D 1968 Wave-induced shear instability in the summer thermocline J. Fluid Mech. 32,791–800.

3. Raupach, M. R. , Thom, A. S. & Edwards, I. 1980 A wind-tunnel study of turbulent flow close to regularly arrayed rough surfaces Boundary-Layer Met. 18,373–397.

4. Brown, S. N. & Stewartson, K. 1980 On the algebraic decay of disturbances in a stratified linear shear flow J. Fluid Mech. 100,811–816.

5. Thorpe, S. A. & Hall, A. J. 1980 The mixing layer of Loch Ness J. Fluid Mech. 101,687–703.

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