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The onset of three-dimensionality and time-dependence in Görtler vortices: neutrally stable wavy modes

Citation

Bassom, AP and Seddougui, SO, The onset of three-dimensionality and time-dependence in Gortler vortices: neutrally stable wavy modes, Journal of Fluid Mechanics, 220 pp. 661-672. ISSN 0022-1120 (1990) [Refereed Article]

Copyright Statement

Copyright 1990 Cambridge University Press

DOI: doi:10.1017/S002211209000341X

Abstract

Recently Hall & Seddougui (1989) considered the secondary instability of large-amplitude Görtler vortices in a growing boundary layer into a three-dimensional flow with wavy vortex boundaries. They obtained a pair of coupled, linear ordinary differential equations for this instability which constituted an eigenproblem for the wavelength and frequency of this wavy mode. In the course of investigating the nonlinear version of this problem (Seddougui & Bassom 1990), we have found that the numerical work of Hall & Seddougui (1989) is incomplete; this deficiency is rectified here. In particular, we find that many neutrally stable modes are possible; we derive the properties of such modes in a high-wavenumber limit and show that the combination of the results of Hall & Seddougui and our modifications lead to conclusions which are consistent with the available experimental observations.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108090
Year Published:1990
Web of Science® Times Cited:7
Deposited By:Mathematics and Physics
Deposited On:2016-04-06
Last Modified:2016-07-08
Downloads:0

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