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Kelvin-Helmholtz billow evolution from a localized source Público Deposited

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https://ir.library.oregonstate.edu/concern/articles/m900nv87j

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Abstract
  • The envelope function for Kelvin–Helmholtz billows growing from a point disturbance is derived on the basis of linear perturbation theory. The result describes an elliptical patch of billows that expands linearly in time as the billows grow. An analytical model of the dispersion relation is used to derive quantitative expressions for the spreading rate and ellipticity of the patch as functions of the bulk Richardson number. The theoretical results are verified using a combination of two- and three-dimensional nonlinear simulations, and are compared with visual observations of billow patches in the atmosphere.
  • Keywords: Turbulence, Stratified shear flow, Instability
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  • Smyth, W. D. (2004). Kelvin-Helmholtz billow evolution from a localized source. Quarterly Journal of the Royal Meteorological Society, 130, 2753-2766. doi:10.1256/qj.03.226
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  • 130
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  • National Science Foundation grant OCE0095640.
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