A new inviscid mode of instability in compressible boundary-layer flows

Simple item page
dc.contributor.authorTunney, A.
dc.contributor.authorDenier, J.
dc.contributor.authorMattner, T.
dc.contributor.authorCater, J.
dc.date.issued2015
dc.description.abstractThe stability of an almost inviscid compressible fluid flowing over a rigid heated surface is considered. We focus on the boundary layer that arises. The effect of surface heating is known to induce a streamwise acceleration in the boundary layer near the surface. This manifests in a streamwise velocity which exhibits a maximum larger than the free-stream velocity (i.e. the streamwise velocity exhibits an ‘overshoot’ region). We explore the impact of this overshoot on the stability of the boundary layer, demonstrating that the compressible form of the classical Rayleigh equation (which governs the development of short wavelength instabilities) possesses a new unstable mode that is a direct consequence of this overshoot. The structure of this new class of modes in the small wavenumber limit is detailed, providing a valuable confirmation of our numerical results obtained from the full inviscid eigenvalue problem.
dc.description.statementofresponsibilityAdam P. Tunney, James P. Denier, Trent W. Mattner and John E. Cater
dc.identifier.citationJournal of Fluid Mechanics, 2015; 785:301-323
dc.identifier.doi10.1017/jfm.2015.627
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.orcidMattner, T. [0000-0002-5313-5887]
dc.identifier.urihttp://hdl.handle.net/2440/103054
dc.language.isoen
dc.publisherCambridge University Press
dc.rights© Cambridge University Press 2015
dc.source.urihttp://dx.doi.org/10.1017/jfm.2015.627
dc.subjectBoundary layer stability; compressible boundary layers; high-speed flow
dc.titleA new inviscid mode of instability in compressible boundary-layer flows
dc.typeJournal article
pubs.publication-statusPublished

Files

Collections

Mathematical Sciences publications