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Linearized Dynamics of Two-Dimensional Bubbly and Cavitating Flows Over Slender Surfaces

d'Agostino, Luca and Brennen, Christopher E. and Acosta, Allan J. (1988) Linearized Dynamics of Two-Dimensional Bubbly and Cavitating Flows Over Slender Surfaces. Journal of Fluid Mechanics, 192 . pp. 485-509. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:DAGjfm88

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Abstract

The present work investigates the dynamics of two-dimensional, steady bubbly flows over a surface and inside a symmetric channel with sinusoidal profiles. Bubble dynamics effects are included. The equations of motion for the average flow and the bubble radius are linearized and a closed-form solution is obtained. Energy dissipation due to viscous, thermal and liquid compressibility effects in the dynamics of the bubbles is included, while the relative motion of the two phases and viscous effects at the flow boundaries are neglected. The results are then generalized by means of Fourier synthesis to the case of surfaces with slender profiles of arbitrary shape. The flows display various flow regimes (subsonic, supersonic and superresonant) with different properties according to the value of the relevant flow parameters. Examples are discussed in order to show the effects of the inclusion of the various energy dissipation mechanisms on the flows subject to harmonic excitation. Finally the results for a flow over a surface with a Gaussian-shaped bump are presented and the most important limitations of the theory are briefly discussed.


Item Type:Article
Additional Information:Received 29 October 1986 and in revised form 23October 1987. 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."
Record Number:CaltechAUTHORS:DAGjfm88
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DAGjfm88
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85
Collection:CaltechAUTHORS
Deposited By: Christopher Brennen
Deposited On:17 Sep 2004
Last Modified:26 Dec 2012 08:39

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