Spatially localised growth within global instabilities of flexible channel flows

Stewart, P. S. , Waters, S. L., Billingham, J. and Jensen, O. E. (2010) Spatially localised growth within global instabilities of flexible channel flows. In: Schlatter, P. and Henningson, D. S. (eds.) Seventh IUTAM Symposium on Laminar-Turbulent Transition: Proceedings of the Seventh Iutam Symposium on Laminar-turbulent Transition, Stockholm, Sweden, 2009. Series: IUTAM bookseries (18). Springer: Dordrecht, pp. 397-402. ISBN 9789048137220

Abstract

We investigate the localised spatial growth of two-dimensional disturbances governed by the long-wavelength Orr–Sommerfeld operator in a rigid channel at sub-transition Reynolds numbers. We discuss the link between this growth and vorticity waves, a striking feature of the self-excited oscillations that arise when flow is driven through a finite-length channel, one wall of which contains a segment of flexible membrane.

• Item Type: Book Sections
• Status: Published
• Glasgow Author(s) Enlighten ID: Stewart, Professor Peter
• Authors: Stewart, P. S., Waters, S. L., Billingham, J., and Jensen, O. E.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Publisher: Springer
• ISBN: 9789048137220