Initial-value problem for hypersonic boundary layer flows

Alexander Fedorov, Anatoli Tumin

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

7 Citations (Scopus)

Abstract

An initial-value problem is analyzed for a two-dimensional wave packet induced by a local two-dimensional disturbance in a hypersonic boundary layer. The problem is solved using Fourier transform with respect to the streamwise coordinate and Laplace transform with respect to time. It is shown that the solution can be presented as an expansion in the biorthogonal eigenfunction system. This provides a compact and robust formalism for theoretical and numerical studies of excitation and evolution of wave packets generated by local sources. The temporal continuous spectrum is revisited, and the uncertainty associated with the overlapping of continuous-spectrum branches is resolved. It is shown that the behavior of the discrete spectrum's dispersion relationship is non-analytic due to its relationship with the synchronization of the first or second mode with the vorticity/entropy waves of the continuous spectrum. The characteristics of the wave packet are numerically calculated using an expansion to the biorthogonal eigenfunction system, which comprises modes of discrete and continuous spectra. It is shown that the hypersonic boundary layer is highly receptive to vorticity/ entropy disturbances in the synchronism region. The feasibility of experimental verification of this receptivity mechanism is discussed.

Original languageEnglish (US)
Title of host publication15th AIAA Computational Fluid Dynamics Conference
StatePublished - 2001
Event15th AIAA Computational Fluid Dynamics Conference 2001 - Anaheim, CA, United States
Duration: Jun 11 2001Jun 14 2001

Other

Other15th AIAA Computational Fluid Dynamics Conference 2001
CountryUnited States
CityAnaheim, CA
Period6/11/016/14/01

Fingerprint

Hypersonic boundary layers
Wave packets
Initial value problems
Boundary layer flow
Vorticity
Eigenvalues and eigenfunctions
Synchronization
Entropy
Laplace transforms
Fourier transforms

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Fedorov, A., & Tumin, A. (2001). Initial-value problem for hypersonic boundary layer flows. In 15th AIAA Computational Fluid Dynamics Conference

Initial-value problem for hypersonic boundary layer flows. / Fedorov, Alexander; Tumin, Anatoli.

15th AIAA Computational Fluid Dynamics Conference. 2001.

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

Fedorov, A & Tumin, A 2001, Initial-value problem for hypersonic boundary layer flows. in 15th AIAA Computational Fluid Dynamics Conference. 15th AIAA Computational Fluid Dynamics Conference 2001, Anaheim, CA, United States, 6/11/01.
Fedorov A, Tumin A. Initial-value problem for hypersonic boundary layer flows. In 15th AIAA Computational Fluid Dynamics Conference. 2001
Fedorov, Alexander ; Tumin, Anatoli. / Initial-value problem for hypersonic boundary layer flows. 15th AIAA Computational Fluid Dynamics Conference. 2001.
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