Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer

Eric Forgoston, Anatoli Tumin

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

1 Citation (Scopus)

Abstract

An initial-value problem is formulated for a threedimensional wave packet in a hypersonic boundary layer flow. The problem is solved using a Laplace transform with respect to time and Fourier transforms with respect to the streamwise and spanwise coordinates. The solution can be presented as a sum of modes consisting of continuous and discrete spectra of temporal stability theory. Two discrete modes, known as Mode S and Mode F, are of interest since they may be involved in a laminar-turbulent transition scenario. The continuous and discrete spectrum are analyzed numerically, and the following features are revealed: (1) the synchronism of Mode S with acoustic waves at low wave number is primarily twodimensional; (2) at high angles of dis turbance propagation, Mode F is no longer synchronized with entropy and vorticity waves; (3) at high angles of disturbance propagation, the synchronism between Mode S and Mode F no longer leads to a Mode S instability, and at even higher angles of disturbance propagation, Mode S and Mode F are not synchronized.

Original languageEnglish (US)
Title of host publication34th AIAA Fluid Dynamics Conference and Exhibit
StatePublished - 2004
Event34th AIAA Fluid Dynamics Conference and Exhibit 2004 - Portland, OR, United States
Duration: Jun 28 2004Jul 1 2004

Other

Other34th AIAA Fluid Dynamics Conference and Exhibit 2004
CountryUnited States
CityPortland, OR
Period6/28/047/1/04

Fingerprint

Hypersonic boundary layers
Initial value problems
Synchronization
Wave packets
Boundary layer flow
Laplace transforms
Vorticity
Fourier transforms
Entropy
Acoustic waves

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Aerospace Engineering

Cite this

Forgoston, E., & Tumin, A. (2004). Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer. In 34th AIAA Fluid Dynamics Conference and Exhibit

Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer. / Forgoston, Eric; Tumin, Anatoli.

34th AIAA Fluid Dynamics Conference and Exhibit. 2004.

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

Forgoston, E & Tumin, A 2004, Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer. in 34th AIAA Fluid Dynamics Conference and Exhibit. 34th AIAA Fluid Dynamics Conference and Exhibit 2004, Portland, OR, United States, 6/28/04.
Forgoston E, Tumin A. Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer. In 34th AIAA Fluid Dynamics Conference and Exhibit. 2004
Forgoston, Eric ; Tumin, Anatoli. / Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer. 34th AIAA Fluid Dynamics Conference and Exhibit. 2004.
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