On the stability of stably stratified shearing layers
β Scribed by R. S. Scorer
- Publisher
- John Wiley and Sons
- Year
- 1951
- Tongue
- English
- Weight
- 486 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0035-9009
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β¦ Synopsis
Abstract
The equation governing the behaviour of twoβdimensional waves in a horizontal stably stratified shearing air current is set up. It is shown that it may be obtained by considering the limit as the number of a set of superposed staticallyβneutral layers, each of constant stream velocity, tends to infinity, but that the properties may differ considerably if the number of layers is few.
If stable waves occur then at no level do they travel with the same velocity as the air. If unstable waves occur the surfaces containing the wave crests may be so inclined to the vertical as to limit the growth of the waves. Some remarks are made concerning the difficulties of discussion of unstable waves in the general case.
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Airplane measurements of the stably stratified boundary layer obtained during the Severe Environmental Storms and Mesoscale Experiment (SESAME) over rolling terrain in south-central Oklahoma indicate that considerable horizontal variability exists in the flow on scales of several kilometers. Much of
Malkus' theory of turbulent shear flow and turbulent convection is extended to stably stratified shear flow. The local Richardson number is found to be close to its critical value throughout the turbulent flow. Assuming a strong interaction between velocity and density fields requires that their pro