Physics of Fluids A: Fluid Dynamics
It is suggested that parametric instability can be induced in a confined supersonic shear layer by the use of a periodic Mach wave system generated by a wavy wall. The existence of such an instability solution is demonstrated computationally by solving the Floquet system of equations. The solution is constructed by means of a Fourier-Chebyshev expansion. Numerical convergence is assured by using a very large number of Fourier and Chebyshev basis functions. The computed growth rate of the induced flow instability is found to vary linearly with the amplitude of the mach waves when the amplitude is not excessively large. This ensures that the instability is, indeed, tied to the presence of the Mach waves. It is proposed that enhanced mixing of supersonic shear layers may be achieved by the use of such a periodic Mach wave system through the inducement of parametric instabilities in the flow. © 1991 American Institute of Physics.
Original Publication Citation
Hu, F. Q., & Tam, C. K. W. (1991). Parametric instability of supersonic shear layers induced by periodic mach waves. Physics of Fluids A: Fluid Dynamics, 3(6), 1645-1656. doi:10.1063/1.857943
Hu, Fang Q. and Tam, Christopher K. W., "Parametric Instability of Supersonic Shear Layers Induced by Periodic Mach Waves" (1991). Mathematics & Statistics Faculty Publications. 26.