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Stratified flow over three-dimensional ridges

Published online by Cambridge University Press:  20 April 2006

I. P. Castro
Affiliation:
Department of Mechanical Engineering, University of Surrey, Guildford, Surrey GU2 5XH, U.K.
W. H. Snyder
Affiliation:
Meteorology and Assessment Division, U.S. Environmental Protection Agency, Research Triangle Park, NC 27711, U.S.A. Permanent address: National Oceanic and Atmospheric Administration, U.S. Department of Commerce.
G. L. Marsh
Affiliation:
Northrop Services Inc., Research Triangle Park, NC 27711, U.S.A.

Abstract

An experimental study of the stratified flow over triangular-shaped ridges of various aspect ratios is described. The flows were produced by towing inverted bodies through saline-water solutions with stable (linear) density gradients. Flow-visualization techniques were used extensively to obtain measurements of the lee-wave structure and its interaction with the near-wake recirculating region and to determine the height of the upstream dividing streamline (below which all fluid moved around, rather than over the body). The Froude number F(= U/Nh) and Reynolds number (Uh/ν), where U is the towing speed, N is the Brunt–Väisälä frequency, h is the body height, and ν is the kinematic viscosity, were in the nominal ranges 0.2–1.6 (and ∞) and 2000–16000 respectively. The study demonstrates that the wave amplitude can be maximized by ‘tuning’ the body shape to the lee-wave field, that in certain circumstances steady wave breaking can occur or multiple recirculation regions (rotors) can exist downstream of the body, that vortex shedding in horizontal planes is possible even at F = 0.3, and that the ratio of the cross-stream width of the body to its height has a negligible effect on the dividing streamline height. The results of the study are compared with those of previous theoretical and experimental studies where appropriate.

Type
Research Article
Copyright
© 1983 Cambridge University Press

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