Koshigoe, S. and Yang, V. and Culick, F. E. C. and Tubis, A. (1986) A new method for stability analysis of a free jet with arbitrary cross section. AIAA Papers, AIAA-86-0542. American Institute of Aeronautics and Astronautics . https://resolver.caltech.edu/CaltechAUTHORS:20101122-083110170
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Abstract
A new approach for linear analysis of the stability of jets with arbitrary mean velocity profiles is presented. This method is based on utilizing Green function technique a to transform the Rayleigh equation into an integral equation form. The integral equation is then solved numerically using a type of finite element approximation to determine the eigenvectors and complex wave numbers of various instability modes. In order to demonstrate this method's capability of handling arbitrary jet mean velocity profiles, a comparison is made to the elliptic jet case where generally good agreement 1s apparent. A brief discussion on how the effects of compressibility and temperature variation in flows car be incorporated within the formalism is presented.
| Item Type: | Report or Paper (Report) | ||||||
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| Additional Information: | This paper is declared a work of the U.S. Government and therefore is in the public domain. We wish to thank Prof. P. J. Morris for sending us his calculation results. Thanks are also due to Dr. R. L. Derr for his encouragement given to us during the course of this work. | ||||||
| Group: | Guggenheim Jet Propulsion Center, GALCIT | ||||||
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| Series Name: | AIAA Papers | ||||||
| Issue or Number: | AIAA-86-0542 | ||||||
| Record Number: | CaltechAUTHORS:20101122-083110170 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20101122-083110170 | ||||||
| Usage Policy: | This paper is declared a work of the U.S. Government and therefore is in the public domain. | ||||||
| ID Code: | 20931 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 04 Dec 2010 00:02 | ||||||
| Last Modified: | 03 Oct 2019 02:17 |
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