Robertson, G. E. and Seinfeld, J. H. and Leal, L. G. (1976) Wakes in stratified flow past a hot or cold two-dimensional body. Journal of Fluid Mechanics, 75 (2). pp. 233-256. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120808-134849794
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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.
|Additional Information:||© 1976 Cambridge University Press. Received 3 May 1974 and in revised form 4 July 1975. Published online: 29 March 2006.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||08 Aug 2012 20:55|
|Last Modified:||26 Dec 2012 15:53|
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