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Gaussian versus top-hat profile assumptions in integral plume models
Abstract Numerous integral models describing the behaviour of buoyant plumes released into stratified crossflows have been presented in the literature. One of the differences between these models is the form assumed for the self-similar profile: some models assume a top-hat form while others assume a Gaussian. The differences between these two approaches are evaluated by (a) comparing the governing equations on which Gaussian and top-hat models are based; (b) comparing some typical plume predictions generated by each type of model over a range of model parameters. It is shown that, while the profile assumption does lead to differences in the equations which govern plume variables, the effects of these differences on actual plume predictions is small over the range of parameters of practical interest. Since the predictions of Gaussian and top-hat models are essentially equivalent, it can thus be concluded that the additional physical information incorporated into a Gaussian formulation plays only a minor role in mean plume behaviour, and that the tophat approach, which requires the numerical solution of a simpler set of equations, is adequate for most situations where an integral approach would be used.
Gaussian versus top-hat profile assumptions in integral plume models
Abstract Numerous integral models describing the behaviour of buoyant plumes released into stratified crossflows have been presented in the literature. One of the differences between these models is the form assumed for the self-similar profile: some models assume a top-hat form while others assume a Gaussian. The differences between these two approaches are evaluated by (a) comparing the governing equations on which Gaussian and top-hat models are based; (b) comparing some typical plume predictions generated by each type of model over a range of model parameters. It is shown that, while the profile assumption does lead to differences in the equations which govern plume variables, the effects of these differences on actual plume predictions is small over the range of parameters of practical interest. Since the predictions of Gaussian and top-hat models are essentially equivalent, it can thus be concluded that the additional physical information incorporated into a Gaussian formulation plays only a minor role in mean plume behaviour, and that the tophat approach, which requires the numerical solution of a simpler set of equations, is adequate for most situations where an integral approach would be used.
Gaussian versus top-hat profile assumptions in integral plume models
Davidson, G.A. (Autor:in)
Atmospheric Environment ; 20 ; 471-478
12.08.1985
8 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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