Wang, D. P. and Wu, T. Yao-tsu (1963) Small-time behavior of unsteady cavity flows. Archive for Rational Mechanics and Analysis, 14 (1). pp. 127-152. ISSN 0003-9527. doi:10.1007/bf00250696. https://resolver.caltech.edu/CaltechAUTHORS:20200114-145734220
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Abstract
A perturbation theory is applied to investigate the small-time behavior of unsteady cavity flows in which the time-dependent part of the flow may be taken as a small-time expansion superimposed on an established steady cavity flow of an ideal fluid. One purpose of this paper is to study the effect of the initial cavity size on the resulting flow due to a given disturbance. Various existing steady cavity-flow models have been employed for this purpose to evaluate the initial reaction of a cavitated body in an unsteady motion. Furthermore, a physical model is proposed here to give a proper representation of the mechanism by which the cavity volume may be changed with time; the initial hydrodynamic force resulting from such change is calculated on the basis of this model.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 1963 Springer. Received April 29, 1963. Communicated by C. C. Lin. This work is sponsored in part by the Office of Naval Research of the U. S. Navy, under contract Nonr 220(35) at the California Institute of Technology. Reproduction in whole or in part is permitted for any purpose of the United States Government. The assistances rendered by Mr. BARRY BASS and Mrs. ZORA HARRISON in the numerical computation, by Miss CECILIA LIN in the graphic work and Mrs. BARBARA HAWK in the preparation of the manuscript are greatly appreciated by the authors. | ||||||||||||
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| Subject Keywords: | Flat Plate; Basic Flow; Cavity Volume; Cavity Flow; Cavitation Number | ||||||||||||
| Issue or Number: | 1 | ||||||||||||
| DOI: | 10.1007/bf00250696 | ||||||||||||
| Record Number: | CaltechAUTHORS:20200114-145734220 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200114-145734220 | ||||||||||||
| Official Citation: | Wang, D.P., Yao-Tsu Wu, T. Small-time behavior of unsteady cavity flows. Arch. Rational Mech. Anal. 14, 127–152 (1963) doi:10.1007/BF00250696 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 100722 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 15 Jan 2020 00:29 | ||||||||||||
| Last Modified: | 16 Nov 2021 17:56 |
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