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 proceedingConference PaperResearch

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 languageEnglish
Title of host publicationProceedings
Subtitle of host publication19TH AIAA, FLUID DYNAMICS, PLASMA DYNAMICS, AND LASERS CONFERENCE
PublisherAmerican Institute of Aeronautics and Astronautics
Pages1-12
Number of pages12
DOIs
Publication statusPublished - 1987
Externally publishedYes
EventAIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987 - Honolulu, United States of America
Duration: 8 Jun 198710 Jun 1987
Conference number: 19th
https://arc.aiaa.org/doi/book/10.2514/MFDC87

Conference

ConferenceAIAA Fluid Dynamics, Plasma Dynamics and Lasers, 1987
Abbreviated titleAIAA-87
CountryUnited States of America
CityHonolulu
Period8/06/8710/06/87
Internet address

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