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Published December 1, 1973 | public
Journal Article Open

The Dynamic Behavior and Compliance of a Stream of Cavitating Bubbles

Brennen, C.

Abstract

The role played by turbopump cavitation in the POGO instability of liquid rockets motivates the present study on the dynamic response of streams of cavitating bubbles to imposed pressure fluctuations. Both quasistatic and more general linearized dynamic analyses are made of the perturbations to a cavitating flow through a region of reduced pressure in which the bubbles first grow and then collapse. The results when coupled with typical bubble number density distribution functions yield compliances which compare favorably with the existing measurements. Since the fluids involved are frequently cryogenic, a careful examination was made of the thermal effects both on the mean flow and on the perturbations. As a result the discrepancy between theory and experiment for particular engines could be qualitatively ascribed to reductions in the compliance caused either by these thermal effects or by relatively high reduced frequencies.

Additional Information

Contributed by the Fluids Engineering Division and presented at theApplied Mechanics and Fluids Engineering Conference. Atlanta, Ga., June 20-22, 1973, of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received at ASME Headquarters, April 4. 1973. Paper No. 73-FE-34. This work was carried out under NASA Contract NAS8-28046 for whose support the author is most grateful. The encouragement and advice of Professor A. J. Acosta is much appreciated as is that of Professors M. S. Plesset and T. Y. Wu.

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