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Three-dimensional inviscid waves in buoyant boundary layer flows

journal contribution
posted on 2023-05-18, 17:48 authored by Denier, JP, Stott, JAK, Andrew BassomAndrew Bassom
The stability of weakly three-dimensional buoyancy-driven boundary layers to travelling waves is considered. It is shown that in the absence of crossflow inviscid modes are unstable and, as the degree of crossflow is increased, the short waves are the first to be stabilised – longer waves require an enhanced level of three-dimensionality of the basic flow for stabilisation. A combination of asymptotic and numerical techniques are used to provide a complete description of the inviscid modes over the whole wavenumber spectrum. The study is also extended to consider pure vortex “roll-cell” modes which can exist within unstably stratified (buoyancy driven) flows and these are found to stabilise in the presence of crossflow.

History

Publication title

Fluid Dynamics Research

Volume

28

Pagination

89-109

ISSN

0169-5983

Department/School

School of Natural Sciences

Publisher

Elsevier BV

Place of publication

Amsterdam, Netherlands

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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