Study of discrete modes branching in high-speed boundary layers

Yuli Lifshitz; David Degani; Anatoli Tumin

doi:10.2514/6.2012-919

Study of discrete modes branching in high-speed boundary layers

Yuli Lifshitz, David Degani, Anatoli Tumin

Research output: Contribution to conference › Paper › peer-review

Abstract

The branching of discrete modes in high-speed boundary layers is investigated using the Parabolized Stability Equations (PSE). The fast and slow discrete modes associated with the fast and slow acoustic modes, respectively, are considered in high-speed boundary layers over adiabatic and cooled walls. Whereas the conventional Linear Stability Theory (LST) approach leads to singular behavior in the vicinity of the fast mode synchronization with the entropy and vorticity modes, the PSE results do not reveal singular behavior of the solution and are consistent with the available Direct Numerical Simulations (DNS) of perturbations in high-speed boundary layers. Also, the PSE results do not reveal a singular behavior in the vicinity of the point of synchronism of the slow and fast discrete modes.

Original language	English (US)
DOIs	https://doi.org/10.2514/6.2012-919
State	Published - 2012
Event	50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition - Nashville, TN, United States Duration: Jan 9 2012 → Jan 12 2012

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Other	50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
Country/Territory	United States
City	Nashville, TN
Period	1/9/12 → 1/12/12

ASJC Scopus subject areas

Aerospace Engineering

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10.2514/6.2012-919

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title = "Study of discrete modes branching in high-speed boundary layers",

abstract = "The branching of discrete modes in high-speed boundary layers is investigated using the Parabolized Stability Equations (PSE). The fast and slow discrete modes associated with the fast and slow acoustic modes, respectively, are considered in high-speed boundary layers over adiabatic and cooled walls. Whereas the conventional Linear Stability Theory (LST) approach leads to singular behavior in the vicinity of the fast mode synchronization with the entropy and vorticity modes, the PSE results do not reveal singular behavior of the solution and are consistent with the available Direct Numerical Simulations (DNS) of perturbations in high-speed boundary layers. Also, the PSE results do not reveal a singular behavior in the vicinity of the point of synchronism of the slow and fast discrete modes.",

author = "Yuli Lifshitz and David Degani and Anatoli Tumin",

year = "2012",

doi = "10.2514/6.2012-919",

language = "English (US)",

note = "50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition ; Conference date: 09-01-2012 Through 12-01-2012",

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T1 - Study of discrete modes branching in high-speed boundary layers

AU - Lifshitz, Yuli

AU - Degani, David

AU - Tumin, Anatoli

PY - 2012

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N2 - The branching of discrete modes in high-speed boundary layers is investigated using the Parabolized Stability Equations (PSE). The fast and slow discrete modes associated with the fast and slow acoustic modes, respectively, are considered in high-speed boundary layers over adiabatic and cooled walls. Whereas the conventional Linear Stability Theory (LST) approach leads to singular behavior in the vicinity of the fast mode synchronization with the entropy and vorticity modes, the PSE results do not reveal singular behavior of the solution and are consistent with the available Direct Numerical Simulations (DNS) of perturbations in high-speed boundary layers. Also, the PSE results do not reveal a singular behavior in the vicinity of the point of synchronism of the slow and fast discrete modes.

AB - The branching of discrete modes in high-speed boundary layers is investigated using the Parabolized Stability Equations (PSE). The fast and slow discrete modes associated with the fast and slow acoustic modes, respectively, are considered in high-speed boundary layers over adiabatic and cooled walls. Whereas the conventional Linear Stability Theory (LST) approach leads to singular behavior in the vicinity of the fast mode synchronization with the entropy and vorticity modes, the PSE results do not reveal singular behavior of the solution and are consistent with the available Direct Numerical Simulations (DNS) of perturbations in high-speed boundary layers. Also, the PSE results do not reveal a singular behavior in the vicinity of the point of synchronism of the slow and fast discrete modes.

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DO - 10.2514/6.2012-919

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T2 - 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

Y2 - 9 January 2012 through 12 January 2012

ER -

Study of discrete modes branching in high-speed boundary layers

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