On the Inviscid Stability of Parallel Bubbly Flows
Abstract
This paper investigates the effects of bubbly dynamics on the stability of parallel bubbly flows of low void fraction. The equations of motion for the bubbly mixture are linearized for small perturbations and the parallel flow assumption is used to obtain a modified Rayleigh equation governing the inviscid stability problem. This is then used for the stability analysis of two-dimensional shear layers, jets and wakes. Inertial effects associated with the bubbly response and energy dissipation due to the viscosity of the liquid, the heat transfer between the two phases, and the liquid compressibility are included. Numerical solutions of the eigenvalue problems for the modified Rayleigh equation are obtained by means of a multiple shooting method. Depending on the characteristic velocities of the various flows, the void fractions, and the ambient pressure, the presence of air bubbles can induce significant departures from the classical stability results for a single-phase fluid.
Additional Information
The authors would like to thank Cecilia Lin for her help in drawing the pictures. This work was supported by the Naval Sea System Command General Hydromechanics Research Program admninistered by the David Taylor Naval Ship Research and Development Center under Contract No. N00167-85-K-0165, by the Office of Naval Research under contract No. N0014-83-K-0506 and by a Fellowship for Technological Research administered by the North Atlantic Treaty Organization - Consiglio Nazionale dalle Ricerche, Italy, Competition No. 215.15/11 of 11.5.1982. Their support is gratefully acknowledged. We also would like to thank our reviewers for their constructive comments and their contributions to the improvement of our work. "Reprinted with the permission of Cambridge University Press."Files
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Additional details
- Eprint ID
- 88
- Resolver ID
- CaltechAUTHORS:DAGjfm97
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2004-09-21Created from EPrint's datestamp field
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2019-10-02Created from EPrint's last_modified field