Abstract
Sound generation via the Kelvin-Helmholtz instability mechanism in jet shear layers is closely related to instability modes with the largest spatial growth rates [A. Michalke, J. Fluid Mech. 23, 521–544 (1965)]. Recently, there has been considerable experimental interest in noncircular jets [e.g., E. Gutmark et al., AIAA Shear Flow Control Conf., 12–14 March, Colorado Springs, CO, 1985; and R. A. Peterson et al., Bull. Am. Phys. Soc. 29, 1562 (1984)]. In order to theoretically describe these cases, we have used Green's function techniques to develop practical solution methods for the Orr-Sommerfeld linearized stability equations with arbitrary jet mean flow profiles. Some preliminary results are presented for critical Reynolds numbers, instability mode eigenfrequencies, and shape functions. [Work supported by NWC research grant.]
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