A Discussion of Schatzmann's Integral Plume Model from a Control Volume ViewpointSource: Journal of Climate and Applied Meteorology:;1986:;Volume( 025 ):;Issue: 006::page 858Author:Davidson, G. A.
DOI: 10.1175/1520-0450(1986)025<0858:ADOSIP>2.0.CO;2Publisher: American Meteorological Society
Abstract: Of the numerous integral models that have been developed to describe buoyant plumes in stratified crossflows, Schatzmann's model appears to be the most mathematically rigorous and physically complete. So far, however, a comparative study of the performance of this model with previous simpler integral models has not been reported. To aid such a comparison, a control volume development of Schatzmann's governing equations is presented to parallel his more abstract differential development. Discrepancies between the equation act derived by Schatzmann and that derived from a control volume analysis are reported. The control volume equation act is found to be consistent with the equations published by previous workers, once Schatzmann's suggestion is taken into account that a mean flow convective interaction between the plume and its surroundings be included along with the usual turbulent entrainment interaction. The source of the discrepancies between equation sets is discussed, and a numerical example is presented to illustrate the effect of these differences in the governing equations on plume predictions.
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contributor author | Davidson, G. A. | |
date accessioned | 2017-06-09T14:01:12Z | |
date available | 2017-06-09T14:01:12Z | |
date copyright | 1986/06/01 | |
date issued | 1986 | |
identifier issn | 0733-3021 | |
identifier other | ams-11014.pdf | |
identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4146196 | |
description abstract | Of the numerous integral models that have been developed to describe buoyant plumes in stratified crossflows, Schatzmann's model appears to be the most mathematically rigorous and physically complete. So far, however, a comparative study of the performance of this model with previous simpler integral models has not been reported. To aid such a comparison, a control volume development of Schatzmann's governing equations is presented to parallel his more abstract differential development. Discrepancies between the equation act derived by Schatzmann and that derived from a control volume analysis are reported. The control volume equation act is found to be consistent with the equations published by previous workers, once Schatzmann's suggestion is taken into account that a mean flow convective interaction between the plume and its surroundings be included along with the usual turbulent entrainment interaction. The source of the discrepancies between equation sets is discussed, and a numerical example is presented to illustrate the effect of these differences in the governing equations on plume predictions. | |
publisher | American Meteorological Society | |
title | A Discussion of Schatzmann's Integral Plume Model from a Control Volume Viewpoint | |
type | Journal Paper | |
journal volume | 25 | |
journal issue | 6 | |
journal title | Journal of Climate and Applied Meteorology | |
identifier doi | 10.1175/1520-0450(1986)025<0858:ADOSIP>2.0.CO;2 | |
journal fristpage | 858 | |
journal lastpage | 867 | |
tree | Journal of Climate and Applied Meteorology:;1986:;Volume( 025 ):;Issue: 006 | |
contenttype | Fulltext |