TY - GEN
T1 - Asymptotic analysis of wave packets in high-speed boundary layers
AU - Bailey, Michelle
AU - Tumin, Anatoli
N1 - Funding Information: The authors wish to thank Dr. Alexander Fedorov for his assistance in testing and verification of the developed codes and Dr. Michael Gaster for fruitful discussions. This project is supported by ONR Grant N00014-20-1-2502 monitored by Dr. E. Marineau at the Office of Naval Research. Publisher Copyright: © 2022, American Institute of Aeronautics and Astronautics Inc.. All rights reserved.
PY - 2022
Y1 - 2022
N2 - Asymptotic methods are utilized to analyze the propagation of linear, three-dimensional and two-dimensional wave packets in a weakly non-parallel, compressible, zero pressure gradient, boundary layer over a flat plate. Wave packets generated due to a low amplitude coherent perturbation are analyzed in the framework of Linear Stability Theory while omitting the effect of receptivity. Application of two asymptotic techniques, namely the steepest descent method and a Gaussian model are demonstrated. The steepest descent method is used to identify the frequency and spanwise wavenumber of the disturbance wave with the maximum amplitude in the wavepacket at a given location and a Gaussian approximation around these disturbance parameters is used to construct the fine structures of the wavepacket. Details of the wavepacket evolution in boundary layers with edge Mach numbers, Me = 2 and Me = 7 are presented and validity of the asymptotic techniques for these flow conditions are discussed.
AB - Asymptotic methods are utilized to analyze the propagation of linear, three-dimensional and two-dimensional wave packets in a weakly non-parallel, compressible, zero pressure gradient, boundary layer over a flat plate. Wave packets generated due to a low amplitude coherent perturbation are analyzed in the framework of Linear Stability Theory while omitting the effect of receptivity. Application of two asymptotic techniques, namely the steepest descent method and a Gaussian model are demonstrated. The steepest descent method is used to identify the frequency and spanwise wavenumber of the disturbance wave with the maximum amplitude in the wavepacket at a given location and a Gaussian approximation around these disturbance parameters is used to construct the fine structures of the wavepacket. Details of the wavepacket evolution in boundary layers with edge Mach numbers, Me = 2 and Me = 7 are presented and validity of the asymptotic techniques for these flow conditions are discussed.
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U2 - 10.2514/6.2022-1707
DO - 10.2514/6.2022-1707
M3 - Conference contribution
SN - 9781624106316
T3 - AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
BT - AIAA SciTech Forum 2022
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
Y2 - 3 January 2022 through 7 January 2022
ER -