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Viscous stability analysis of jets with discontinuous base profiles

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dc.affiliation.dptoUC3M. Departamento de Ingeniería Térmica y de Fluidoses
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Mecánica de Fluidoses
dc.contributor.authorCoenen, Wilfried
dc.contributor.authorSevilla, Alejandro
dc.contributor.authorSánchez Pérez, Antonio Luis
dc.date.accessioned2014-02-25T12:03:08Z
dc.date.available2014-11-01T23:00:06Z
dc.date.issued2012-11-01
dc.description.abstractThe viscous linear stability of parallel gaseous jets with piecewise constant base profiles is considered in the limit of low Mach numbers. Our results generalise those of Drazin [P.G. Drazin, Discontinuous velocity profiles for the Orr–Sommerfeld equation J. Fluid Mech. 10 (1961) 571–583], by contemplating the possibility of arbitrary jumps in density and transport properties between two uniform streams separated by a vortex sheet. The eigenfunctions, obtained analytically in the regions of uniform flow, are matched through an appropriate set of jump conditions at the discontinuity of the basic flow, which are derived by repeated integration of the linearised conservation equations in their primitive variable form. The development leads to an algebraic dispersion relation of ample validity that explicitly accounts for the parametric dependence of the stability properties on the jet-to-ambient density ratio, the Reynolds number, the Prandtl number, and the exponent of the presumed power-law dependence of viscosity and thermal conductivity on temperature. The dispersion relation is validated through comparisons with stability calculations performed with continuous profiles and is applied, in particular, to study the effects of molecular transport on the spatiotemporal stability of parallel non-isothermal gaseous jets with very thin shear layers. The eigenvalue computations performed by using the vortex-sheet model are shown to be several orders of magnitude faster than those associated with continuous profiles with thin shear layers.en
dc.description.sponsorshipThis work was supported by Spanish MCINN through the project CONSOLIDER #CSD2010-00010, and the projects #DPI2011-28356-C03-02 and #ENE2008-06515-C04-01, and by the Comunidad de Madrid through projects #S2009/ENE-1597 and #CCG10-UC3M/DPI-4777.en
dc.format.extent11es
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationEuropean Journal of Mechanics B-Fluids, Vol.36, Nov-Dec (2012), pp. 128-138en
dc.identifier.doi10.1016/j.euromechflu.2012.03.016
dc.identifier.issn0997-7546
dc.identifier.publicationfirstpage128es
dc.identifier.publicationissueNovember-Decemberen
dc.identifier.publicationlastpage138es
dc.identifier.publicationtitleEuropean Journal of Mechanics. B, Fluidsen
dc.identifier.publicationvolume36es
dc.identifier.urihttps://hdl.handle.net/10016/18349
dc.identifier.uxxiAR/0000011150
dc.language.isoengen
dc.publisherElsevieres
dc.relation.projectIDComunidad de Madrid. S2009/ENE-1597/HYSYCOMBes
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.euromechflu.2012.03.016
dc.rights© 2012 Elsevier Masson SASen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.otherHydrodynamic stabilityen
dc.subject.otherJetsen
dc.subject.otherDiscontinuous profilesen
dc.subject.otherJump conditionsen
dc.titleViscous stability analysis of jets with discontinuous base profilesen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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