Kelvin-Helmholtz Instability Waves of Supersonic Multiple uneven jets
by
Joshua Z. Du
Department of Mathematics, Kennesaw State University, Kennesaw, GA 30144

Jet aircraft were introduced right after that the Second World War. Shortly after that, jet noise prediction and reduction became an important research topic. Because of the need for large thrust, many high performance military aircraft are propelled by two or more jet engines housed close to each other.

Following the frontier research work of Tam Hu [1], Morris [2], Tam Ahuja [3], and the author #8217;s previous work, this paper mathematically formulates the Kelvin-Helmholtz Instability problem of supersonic multiple uneven jets. The general solution of the system about pressure of the jets and the dispersion relation for instability waves about jet noise are derived.

References [1] C.K.W. Tam and F. Hu, On the three families of instability waves of high speed jets #8221;, Journal of Fluid Mechanics 201, 1989, pp.447-483

[2] P.J. Morris, Instability waves in Twin Supersonic Jets, J. Fluid Mech. 220(1990), 293-307

[3] C.K.W. Tam and K.K. Ahuja, the Theoretical Model of Discrete Tone Generation by Impinging Jets, J. Fluid Mech. 214(1990), 67-68

[4 J. Z. Du, Kelvin-Helmholtz Instability Waves of Supersonic Multiple Jets, the Proceedings of the fourth International Conference on Dynamical Systems Differential Equations, University of North Carolina at Wilmington, May 2002.

[5] Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by Milton Abramowitz and Irene A. Stegun

Date received: March 3, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caky-15.