Three-dimensional wave packet in a hypersonic boundary layer

Eric Forgoston, Anatoli Tumin

    Research output: Contribution to conferencePaperpeer-review

    6 Scopus citations

    Abstract

    A three-dimensional wave packet generated by a local disturbance in a hypersonic boundary layer flow is studied with the aid of the previously solved initial-value problem. The solution to this problem can be expanded in a biorthogonal eigenfunction system as a sum of discrete and continuous modes. 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 previous analysis of the discrete and continuous spectrum, we numerically compute the inverse Fourier transform. The two-dimensional inverse Fourier transform is found for Mode S, and the result is compared with the asymptotic approximation of the Fourier integral. Due to the synchronism between Mode F and entropy/vorticity modes, it is necessary to deform the path of integration around the associated branch cut. Additionally, the inverse Fourier transform for a prescribed spanwise wave number is computed for three-dimensional Mode S.

    Original languageEnglish
    Pages14881-14892
    Number of pages12
    DOIs
    StatePublished - 2005
    Event43rd AIAA Aerospace Sciences Meeting and Exhibit - Reno, NV, United States
    Duration: 10 Jan 200513 Jan 2005

    Other

    Other43rd AIAA Aerospace Sciences Meeting and Exhibit
    Country/TerritoryUnited States
    CityReno, NV
    Period10/01/0513/01/05

    Fingerprint

    Dive into the research topics of 'Three-dimensional wave packet in a hypersonic boundary layer'. Together they form a unique fingerprint.

    Cite this