Asymptotic analysis of wave packets in high-speed boundary layers

Michelle Bailey, Anatoli Tumin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationAIAA SciTech Forum 2022
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624106316
DOIs
StatePublished - 2022
EventAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022 - San Diego, United States
Duration: Jan 3 2022Jan 7 2022

Publication series

NameAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022

Conference

ConferenceAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
Country/TerritoryUnited States
CitySan Diego
Period1/3/221/7/22

ASJC Scopus subject areas

  • Aerospace Engineering

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