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.
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June 1962
Research Papers
A Two-Phase Boundary Layer and Its Drag-Reduction Characteristics
E. M. Sparrow,
E. M. Sparrow
Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.
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V. K. Jonsson,
V. K. Jonsson
Department of Mechanical Engineering, Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.
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E. R. G. Eckert
E. R. G. Eckert
Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.
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E. M. Sparrow
Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.
V. K. Jonsson
Department of Mechanical Engineering, Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.
E. R. G. Eckert
Heat Transfer Laboratory, University of Minnesota, Minneapolis, Minn.
J. Appl. Mech. Jun 1962, 29(2): 408-414 (7 pages)
Published Online: June 1, 1962
Article history
Received:
March 8, 1961
Online:
September 16, 2011
Citation
Sparrow, E. M., Jonsson, V. K., and Eckert, E. R. G. (June 1, 1962). "A Two-Phase Boundary Layer and Its Drag-Reduction Characteristics." ASME. J. Appl. Mech. June 1962; 29(2): 408–414. https://doi.org/10.1115/1.3640562
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