Dependence of Shock Characteristics on Droplet Size in Supersonic Two-Phase Mixtures

[+] Author and Article Information
W. J. Comfort, C. T. Crowe

University of California, Lawrence Livermore Laboratory, Livermore, Calif. 94550

J. Fluids Eng 102(1), 54-58 (Mar 01, 1980) (5 pages) doi:10.1115/1.3240624 History: Received October 15, 1978; Online October 26, 2009


In a dispersed two-phase flow, the mixture chokes at a velocity well below the vapor choking velocity, as shown by the velocity at the throat of a converging-diverging, two-phase, supersonic nozzle. The formation and abruptness of a normal shock wave in a two-phase mixture depends strongly on the coupling between phases, particularly upon droplet size. As droplet size becomes small, the mixture behaves as a continuum, and sharp discontinuities can occur at velocities above the two-phase choking velocity but below the vapor sonic velocity. An approximate analysis is performed to incidate the droplet size at which continuum behavior might be expected to occur. A numerical model, which includes the drag, buoyancy, Basset force, and the force associated with the virtual mass effect, is used to show droplet-size dependence in two-phase normal shock waves. For the examples presented, continuum behavior apparently is approached at droplet diameters between 1 and 2 μm, even through normal shock waves.

Copyright © 1980 by ASME
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