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Effects of surface corrugation on the stability of a zero-pressure-gradient boundary layer

Published online by Cambridge University Press:  12 February 2014

Mochamad Dady Ma’mun ,
Masahito Asai  and
Ayumu Inasawa
Mochamad Dady Ma’mun
Affiliation:
Department of Aerospace Engineering, Tokyo Metropolitan University, Asahigaoka 6-6, Hino, Tokyo 191-0065, Japan
Masahito Asai*
Affiliation:
Department of Aerospace Engineering, Tokyo Metropolitan University, Asahigaoka 6-6, Hino, Tokyo 191-0065, Japan
Ayumu Inasawa
Affiliation:
Department of Aerospace Engineering, Tokyo Metropolitan University, Asahigaoka 6-6, Hino, Tokyo 191-0065, Japan
*
†Email address for correspondence: masai@sd.tmu.ac.jp
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Abstract

The effects of surface corrugation with small amplitude on the growth of Tollmien–Schlichting (T–S) waves were examined experimentally in a zero-pressure-gradient boundary layer. Two- and three-dimensional corrugations of sinusoidal geometry with wavelengths of the same order as that of the two-dimensional T–S wave were considered. The corrugation amplitudes were one order of magnitude smaller than the boundary-layer displacement thickness. Streamwise growth of T–S waves on the corrugated walls was compared with that in the boundary layer on the smooth surface. A distinct difference was found in the destabilizing effect between the two- and three-dimensional corrugations. The two-dimensional corrugation significantly enhanced the growth of two-dimensional T–S waves even when the corrugation amplitude was only ∼10% of the displacement thickness. On decreasing the corrugation amplitude, the growth rate of two-dimensional T–S waves asymptotically approached that in the smooth-wall case. On the other hand, the three-dimensional corrugation had only a small influence on the growth of two-dimensional T–S waves even when the corrugation amplitude was as large as 20% of the displacement thickness. For three-dimensional corrugations, however, a pair of oblique waves was generated and developed by an interaction between the two-dimensional T–S wave and the corrugation-induced mean-flow distortion for the corrugation wavelength considered. On increasing the corrugation amplitude, the oblique waves generated were increased in amplitude and thus significantly influenced the secondary instability process.

JFM classification

Boundary Layers: Boundary layer stability Instability: Instability Instability: Transition to turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 741 , 25 February 2014 , pp. 228 - 251
Copyright
© 2014 Cambridge University Press 

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