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Spatial optimal growth in three-dimensional compressible boundary layers

Published online by Cambridge University Press:  02 July 2012

David Tempelmann ,
Ardeshir Hanifi  and
Dan S. Henningson
David Tempelmann*
Affiliation:
Linné Flow Center, SeRC, KTH Mechanics, SE-100 44 Stockholm, Sweden
Ardeshir Hanifi
Affiliation:
Linné Flow Center, SeRC, KTH Mechanics, SE-100 44 Stockholm, Sweden Swedish Defence Research Agency, FOI, SE-164 90 Stockholm, Sweden
Dan S. Henningson
Affiliation:
Linné Flow Center, SeRC, KTH Mechanics, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: david@mech.kth.se
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Abstract

This paper represents a continuation of the work by Tempelmann et al. (J. Fluid Mech., vol. 646, 2010b, pp. 5–37) on spatial optimal growth in incompressible boundary layers over swept flat plates. We present an extension of the methodology to compressible flow. Also, we account for curvature effects. Spatial optimal growth is studied for boundary layers over both flat and curved swept plates with adiabatic and cooled walls. We find that optimal growth increases for higher Mach numbers. In general, extensive non-modal growth is observed for all boundary layer cases even in subcritical regions, i.e. where the flow is stable with respect to modal crossflow disturbances. Wall cooling, despite stabilizing crossflow modes, destabilizes disturbances of non-modal nature. Curvature acts similarly on modal as well as non-modal disturbances. Convex walls have a stabilizing effect on the boundary layer whereas concave walls have a destabilizing effect. The physical mechanisms of optimal growth in all studied boundary layers are found to be similar to those identified for incompressible flat-plate boundary layers.

JFM classification

Compressible Flows: Compressible boundary layers Boundary Layers: Boundary layer stability Boundary Layers: Boundary layer receptivity
Type
Papers
Information
Journal of Fluid Mechanics , Volume 704 , 10 August 2012 , pp. 251 - 279
Copyright
Copyright © Cambridge University Press 2012

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