Linear viscous stability analysis of the stratified Bickley jet
作者:
K. S. Gage,
J. R. Miller,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1974)
卷期:
Volume 17,
issue 5
页码: 883-887
ISSN:0031-9171
年代: 1974
DOI:10.1063/1.1694825
出版商: AIP
数据来源: AIP
摘要:
The stability of the stably stratified Bickley jet to small disturbances in a viscous, heat conducting fluid is explored by numerical integration of the governing differential equation. Curves of neutral stability are presented in the&agr;‐Rplane and the parametric dependence of these curves upon Richardson number and Prandtl number is examined. The results show a curious bimodal behavior of the curve of neutral stability for small Richardson numbers. In addition, closed neutral curves are found for Richardson numbers in excess of the critical value for the inviscid flow. The unstable regions in the interior of these curves increase with decreasing Prandtl number. Energy balances are computed which show the relative magnitude of the Reynolds stress production, buoyancy dissipation, and viscous dissipation terms across the flow. As the thermal diffusivity becomes large compared with the kinematic viscosity, the buoyancy term is suppressed and the thermal stratification becomes irrelevant.
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