The Stability of Vertical Buoyancy-Induced Flow in Cold Water

[+] Author and Article Information
J. M. Higgins

Eastman Kodak Company, Rochester, N.Y.

B. Gebhart

University of Pennsylvania, Department of Mechanical Engineering and Applied Mechanics, Philadelphia, Pa. 19104

J. Heat Transfer 105(4), 767-773 (Nov 01, 1983) (7 pages) doi:10.1115/1.3245660 History: Received February 05, 1982; Online October 20, 2009


Calculations of the stability of the buoyancy-induced flow of cold water, adjacent to a vertical surface, have been carried out. The disturbance equations, for an isothermal boundary condition, have been formulated with a new density relation for pure and saline water, of very high accuracy. Buoyancy terms in the base flow and disturbance equations, thereby, accurately express the buoyancy forces in water at low temperatures. Stability results are presented for a Prandtl number of 12.6 for a variety of ambient and surface temperature conditions. The anomalous cold water density behavior was found to produce important differences in stability from the Boussinesq solutions. The Boussinesq approximation consistently overpredicts the buoyancy force in upflow circumstances. The resulting neutral stability prediction lies upstream of the accurate ones. For temperature conditions which result in downflow, the predictions lie downstream of the accurate values. The effects may be very large.

Copyright © 1983 by ASME
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