Abstract
We use some well-known properties of the Taylor-Goldstein equation to generate a set of stably stratified shear flows with known singular neutral-mode solutions. The novel feature of the analysis is that it includes such solutions for flows in which, proceeding upwards from a rigid boundary, the Brunt-Väisälä frequency and the flow shear do not change sign and are monotonically decreasing functions of height. Such profiles are much closer to the conditions met in work on the atmospheric boundary layer than the more frequently used inflected flow profiles.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference19 articles.
1. Menkes, J. 1961 J. Fluid Mech. 11,284.
2. Hazel, P. 1972 J. Fluid Mech. 51,39.
3. Rayleigh, Lord 1880 Proc. Lond. Math. Soc. 11,57. (See also The Theory of Sound, vol. 2, p. 385. Dover, 1945.)
4. Ludlam, F. H. 1967 Quart. J. Roy. Met. Soc. 93,419.
5. Taylor, G. I. 1931 Proc. Roy. Soc. A,132,499.
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