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Initial-value problem for perturbati...

Forgoston, Eric T.

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Initial-value problem for perturbations in compressible boundary layers.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Initial-value problem for perturbations in compressible boundary layers./
Author:	Forgoston, Eric T.
Description:	218 p.
Notes:	Source: Dissertation Abstracts International, Volume: 67-01, Section: B, page: 0301.
Contained By:	Dissertation Abstracts International67-01B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3206912
ISBN:	9780542536380

Initial-value problem for perturbations in compressible boundary layers.
Forgoston, Eric T.

Initial-value problem for perturbations in compressible boundary layers. - 218 p.

Source: Dissertation Abstracts International, Volume: 67-01, Section: B, page: 0301.

Thesis (Ph.D.)--The University of Arizona, 2006.

An initial-value problem is formulated for a three-dimensional perturbation in a compressible 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 in high-speed flows since they may be involved in a laminar-turbulent transition scenario. The continuous and discrete spectrum are analyzed numerically for a hypersonic flow. A comprehensive study of the spectrum is performed, including Reynolds number, Mach number and temperature factor effects. A specific disturbance consisting of an initial temperature spot is considered, and the receptivity to this initial temperature spot is computed for both the two-dimensional and three-dimensional cases. Using the analysis of the discrete and continuous spectrum, the inverse Fourier transform is computed numerically. The two-dimensional inverse Fourier transform is calculated for Mode F and Mode S. The Mode S result is compared with an asymptotic approximation of the Fourier integral, which is obtained using a Gaussian model as well as the method of steepest descent. Additionally; the three-dimensional inverse Fourier transform is found using an asymptotic approximation. Using the inverse Fourier transform computations, the development of the wave packet is studied, including effects due to Reynolds number, Mach number and temperature factor.

ISBN: 9780542536380Subjects--Topical Terms:

515831
Mathematics.

Initial-value problem for perturbations in compressible boundary layers.
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100 1 $a Forgoston, Eric T. $3 1916488
245 1 0 $a Initial-value problem for perturbations in compressible boundary layers.
300 $a 218 p.
500 $a Source: Dissertation Abstracts International, Volume: 67-01, Section: B, page: 0301.
500 $a Adviser: Anatoli M. Tumin.
502 $a Thesis (Ph.D.)--The University of Arizona, 2006.
520 $a An initial-value problem is formulated for a three-dimensional perturbation in a compressible 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 in high-speed flows since they may be involved in a laminar-turbulent transition scenario. The continuous and discrete spectrum are analyzed numerically for a hypersonic flow. A comprehensive study of the spectrum is performed, including Reynolds number, Mach number and temperature factor effects. A specific disturbance consisting of an initial temperature spot is considered, and the receptivity to this initial temperature spot is computed for both the two-dimensional and three-dimensional cases. Using the analysis of the discrete and continuous spectrum, the inverse Fourier transform is computed numerically. The two-dimensional inverse Fourier transform is calculated for Mode F and Mode S. The Mode S result is compared with an asymptotic approximation of the Fourier integral, which is obtained using a Gaussian model as well as the method of steepest descent. Additionally; the three-dimensional inverse Fourier transform is found using an asymptotic approximation. Using the inverse Fourier transform computations, the development of the wave packet is studied, including effects due to Reynolds number, Mach number and temperature factor.
590 $a School code: 0009.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0405
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710 2 0 $a The University of Arizona. $3 1017508
773 0 $t Dissertation Abstracts International $g 67-01B.
790 1 0 $a Tumin, Anatoli M., $e advisor
790 $a 0009
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3206912