A Two-Phase Boundary Layer and Its Drag-Reduction Characteristics

[+] Author and Article Information
E. M. Sparrow, E. R. G. Eckert

Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.

V. K. Jonsson

Department of Mechanical Engineering, Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.

J. Appl. Mech 29(2), 408-414 (Jun 01, 1962) (7 pages) doi:10.1115/1.3640562 History: Received March 08, 1961; Online September 16, 2011


Consideration is given to coexisting gas and liquid boundary layers which occur when a gas is injected at the surface of a flat plate into a free-stream liquid flow. It is postulated that the gas forms a continuous film over the plate surface. The problem can be formulated exactly within the framework of laminar boundary-layer theory. Solutions have been carried out for a range of values of blowing velocity and of a fluid property parameter (ρμ) L / (ρμ)g . It is demonstrated that the drag forces associated with the two-phase boundary layer are much smaller than those for the single-phase liquid flow. For example, for a blowing velocity which is 0.001 of the free-stream velocity and a gas Reynolds number of 105 , the over-all drag calculation yields a value which is 0.0205 of the single-phase drag force. The effect of evaporation at the gas-liquid interface is analyzed and found to be small at temperatures which are not too close to saturation.

Copyright © 1962 by ASME
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