Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow

Q Isa Daudpota; Thomas A Zang; Philip Hall

doi:10.2514/6.1987-1205

Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow

Q Isa Daudpota, Thomas A Zang, Philip Hall

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

Abstract

The flow in a two-dimensional curved channel driven by an azimuthal pressure gradient can become linearly unstable due to axisymmetric pertubations and/or nonaxisymmetric perturbations depending on the curvature of the channel and the Reynolds number. For a particular small value of curvature, the critical Reynolds number for both these perturbations become identical. In the neighbourhood of this curvature value and critical Reynolds number, nonlinear interactions occur between these perturbations. The Stuart-Watson approach is used to derive two coupled Landau equations for the amplitudes of these perturbations. The stability of the various possible states of these perturbations is shown through bifurcation diagrams. Emphasis is given to those cases which have relevance to external flows.

Original language	English
Title of host publication	Proceedings
Subtitle of host publication	19TH AIAA, FLUID DYNAMICS, PLASMA DYNAMICS, AND LASERS CONFERENCE
Publisher	American Institute of Aeronautics and Astronautics
Pages	1-12
Number of pages	12
DOIs	https://doi.org/10.2514/6.1987-1205
Publication status	Published - 1987
Externally published	Yes
Event	AIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987 - Honolulu, United States of America Duration: 8 Jun 1987 → 10 Jun 1987 Conference number: 19th https://arc.aiaa.org/doi/book/10.2514/MFDC87

Conference

Conference	AIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987
Abbreviated title	AIAA-87
Country/Territory	United States of America
City	Honolulu
Period	8/06/87 → 10/06/87
Internet address	https://arc.aiaa.org/doi/book/10.2514/MFDC87

Access to Document

10.2514/6.1987-1205

261309657-oaFinal published version, 569 KB

Cite this

@inproceedings{69400ba98cdf496f8c9fa7bc8d9f5bcc,

title = "Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow",

abstract = "The flow in a two-dimensional curved channel driven by an azimuthal pressure gradient can become linearly unstable due to axisymmetric pertubations and/or nonaxisymmetric perturbations depending on the curvature of the channel and the Reynolds number. For a particular small value of curvature, the critical Reynolds number for both these perturbations become identical. In the neighbourhood of this curvature value and critical Reynolds number, nonlinear interactions occur between these perturbations. The Stuart-Watson approach is used to derive two coupled Landau equations for the amplitudes of these perturbations. The stability of the various possible states of these perturbations is shown through bifurcation diagrams. Emphasis is given to those cases which have relevance to external flows.",

author = "Daudpota, {Q Isa} and Zang, {Thomas A} and Philip Hall",

year = "1987",

doi = "10.2514/6.1987-1205",

language = "English",

pages = "1--12",

booktitle = "Proceedings",

publisher = "American Institute of Aeronautics and Astronautics",

address = "United States of America",

note = "AIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987, AIAA-87 ; Conference date: 08-06-1987 Through 10-06-1987",

url = "https://arc.aiaa.org/doi/book/10.2514/MFDC87",

}

Daudpota, QI, Zang, TA & Hall, P 1987, Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow. in Proceedings: 19TH AIAA, FLUID DYNAMICS, PLASMA DYNAMICS, AND LASERS CONFERENCE. American Institute of Aeronautics and Astronautics, pp. 1-12, AIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987, Honolulu, Hawaii, United States of America, 8/06/87. https://doi.org/10.2514/6.1987-1205

Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow. / Daudpota, Q Isa; Zang, Thomas A; Hall, Philip.
Proceedings: 19TH AIAA, FLUID DYNAMICS, PLASMA DYNAMICS, AND LASERS CONFERENCE. American Institute of Aeronautics and Astronautics, 1987. p. 1-12.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow

AU - Daudpota, Q Isa

AU - Zang, Thomas A

AU - Hall, Philip

N1 - Conference code: 19th

PY - 1987

Y1 - 1987

N2 - The flow in a two-dimensional curved channel driven by an azimuthal pressure gradient can become linearly unstable due to axisymmetric pertubations and/or nonaxisymmetric perturbations depending on the curvature of the channel and the Reynolds number. For a particular small value of curvature, the critical Reynolds number for both these perturbations become identical. In the neighbourhood of this curvature value and critical Reynolds number, nonlinear interactions occur between these perturbations. The Stuart-Watson approach is used to derive two coupled Landau equations for the amplitudes of these perturbations. The stability of the various possible states of these perturbations is shown through bifurcation diagrams. Emphasis is given to those cases which have relevance to external flows.

AB - The flow in a two-dimensional curved channel driven by an azimuthal pressure gradient can become linearly unstable due to axisymmetric pertubations and/or nonaxisymmetric perturbations depending on the curvature of the channel and the Reynolds number. For a particular small value of curvature, the critical Reynolds number for both these perturbations become identical. In the neighbourhood of this curvature value and critical Reynolds number, nonlinear interactions occur between these perturbations. The Stuart-Watson approach is used to derive two coupled Landau equations for the amplitudes of these perturbations. The stability of the various possible states of these perturbations is shown through bifurcation diagrams. Emphasis is given to those cases which have relevance to external flows.

U2 - 10.2514/6.1987-1205

DO - 10.2514/6.1987-1205

M3 - Conference Paper

SP - 1

EP - 12

BT - Proceedings

PB - American Institute of Aeronautics and Astronautics

T2 - AIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987

Y2 - 8 June 1987 through 10 June 1987

ER -