Modeling Hydrodynamic Nonequilibrium in Cavitating Flows

Author:

Chen Yongliang1,Heister S. D.1

Affiliation:

1. School of Aeronautics and Astronautics, Purdue University, 1282 Grissom Hall, West Lafayette, IN 47907

Abstract

A nonlinear numerical model has been developed to assess nonequilibrium effects in cavitating flows. The numerical implementation involves a two-phase treatment with the use of a pseudo-density which varies between the liquid and gas/vapor extremes. A new constitutive equation for the pseudo-density is derived based on the bubble response described by a modified form of the Rayleigh-Plesset equation. Use of this constitutive equation in a numerical procedure permits the assessment of nonequilibrium effects. This scheme provides a quantitative description of scaling effects in cavitated flows. With minimal modifications, the model can also be used for bubbly two-phase flows.

Publisher

ASME International

Subject

Mechanical Engineering

Reference24 articles.

1. Arakeri V. H. , 1975, “Viscous Effects on the Position of Cavitation Separation from Smooth Bodies,” Journal of Fluid Mechanics, Vol. 68, pp. 779–799.

2. Ceccio S. L. , and BrennenC. E., 1992, “Dynamics of Attached Cavities on Bodies of Revolution,” ASME JOURNAL OF FLUIDS ENGINEERING, Vol. 114, pp. 93–99.

3. Chen Y. , and HeisterS. D., 1994a, “Two-Phase Modeling for Cavitating Flows,” Cavitation and Gas-Liquid Flows in Fluid Machinery and Devices, FED-Vol. 190, pp. 299–307.

4. Chen, Y., and Heister, S. D., 1994b, “A Numerical Treatment for Attached Cavitation,” to appear in ASME JOURNAL OF FLUIDS ENGINEERING.

5. Chahine, G. L., 1989, “A Numerical Model of Three-Dimensional Bubble Dynamics in Complex Flow Configurations,” Twenty Second Meeting of the American Towing Tank Conference, St. John’s, Newfoundland.

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