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 language | English |
|---|---|
| Title of host publication | 34th AIAA Fluid Dynamics Conference and Exhibit |
| State | Published - 1 Dec 2004 |
| Event | 34th AIAA Fluid Dynamics Conference and Exhibit 2004 - Portland, OR, United States Duration: 28 Jun 2004 → 1 Jul 2004 |
Publication series
| Name | 34th AIAA Fluid Dynamics Conference and Exhibit |
|---|
Other
| Other | 34th AIAA Fluid Dynamics Conference and Exhibit 2004 |
|---|---|
| Country | United States |
| City | Portland, OR |
| Period | 28/06/04 → 1/07/04 |
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Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer. / Forgoston, Eric; Tumin, Anatoli.
34th AIAA Fluid Dynamics Conference and Exhibit. 2004. (34th AIAA Fluid Dynamics Conference and Exhibit).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
TY - GEN
T1 - Initial-value problem for three-dimensional disturbances in a hypersonic boundary layer
AU - Forgoston, Eric
AU - Tumin, Anatoli
PY - 2004/12/1
Y1 - 2004/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84896795104&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9781624100314
T3 - 34th AIAA Fluid Dynamics Conference and Exhibit
BT - 34th AIAA Fluid Dynamics Conference and Exhibit
ER -