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Wakes in stratified flow past a hot or cold two-dimensional body

Published online by Cambridge University Press:  29 March 2006

G. E. Robertson ,
J. H. Seinfeld  and
L. G. Leal
G. E. Robertson
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena Present address: Chevron Oil Field Research Company, P.O. Box 446, La Habra, California 90631.
J. H. Seinfeld
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena
L. G. Leal
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena
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Abstract

This paper considers the general problem of laminar, steady, horizontal, Oseen flow at large distances upstream and downstream of a two-dimensional body which is represented as a line source of horizontal or vertical momentum, or as a line heat source or heat dipole. The fluid is assumed to be incompressible, diffusive, viscous and stably stratified. The analysis is focused on the general properties of the horizontal velocity component, as well as on explicit calculation of the horizontal velocity profiles and disturbance stream-function fields for varying degrees of stratification. For stable stratifications, the flow fields for all four types of singularities exhibit the common feature of multiple recirculating rotors of finite thicknesses, which leads to an alternating jet structure both upstream and downstream for the horizontal velocity component and to leewaves downstream in the overall flow. The self-similar formulae for the velocity, temperature and pressure at very large distances upstream and downstream are also derived and compared with the Oseen solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 2 , 27 May 1976 , pp. 233 - 256
Copyright
© 1976 Cambridge University Press

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