Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-06T02:13:35.144Z Has data issue: false hasContentIssue false

Mixing shocks in two-phase flow

Published online by Cambridge University Press:  29 March 2006

Jan H. Witte
Affiliation:
Hydronautics Incorporated, Laurel, Maryland, U.S.A.

Abstract

In gas-liquid flows a certain sudden change of the flow structure may occur, which can be described as a transition from ‘jet flow’ to ‘froth flow’ accompanied by energy dissipation and pressure build-up. Upstream of this phenomenon the gas is the continuous phase; downstream the liquid is the continuous phase. The phenomenon, which has been called ‘mixing shock’, shows some similarity and also some differences with the plane shock wave in gasdynamics. In the first part of this paper the mixing shock is treated as a one-dimensional macroscopic process. With the aid of the laws of conservation of mass, momentum and energy, expressions are obtained for the pressure and entropy change across the mixing process. In addition the stability of the mixing shock in a cylindrical flow channel is treated. Next, a theory that explains the gas entrainment mechanism in the mixing shock is proposed. As an experimental tool a water-air ejector with the water as a driving medium was used. The experiments confirm the macroscopic and the microscopic theory. In the last section of this paper theoretical and experimental evidence is combined to construct a model of the processes that play a role in the shock.

Type
Research Article
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Campbell, I. J. & Pitscher, A. S. 1958 Shock waves in a liquid containing gas bubbles. Proc. Roy. Soc. A 243, 534.Google Scholar
Engel, O. G. 1966 Crater depths in fluid impacts Appl. Phys. 37, no. 4.Google Scholar
Engel, O. G. 1967 Initial pressure, initial flow velocity and the time dependence of crater depth in fluid impacts J. Appl. Phys. 38, no. 10.Google Scholar
Plesset, M. S. & Din, Y. H. 1960 Theory of gas bubble dynamics in oscillating pressure fields Phys. Fluids, 6, 882.Google Scholar
Plesset, M. S. & Din, Y. H. 1961 On the propagation of sound in a liquid containing gas bubbles Phys. Fluids, 8, 970.Google Scholar
Rynders, J. P. 1965 Research on the physical processes in the two phase mixing shock. Ingenieur Thesis, Delft Technological University.
Von Pawell, R. G. 1936 Dissertation, Brunswick.
Witte, J. H. 1962 Mixing shocks and their influence on the design of liquid gas ejectors. Dissertation, Delft.
Witte, J. H. 1965 Efficiency and design of liquid gas ejectors Br. Chem. Engng. 10, no. 9.Google Scholar
Witte, J. H. 1966 Shock phenomena in two phase flows. Royal Institute of Engineers Symposium, Two Phase Flows, Delft.