Transition induced by linear and nonlinear perturbation growth in flow past a compressor blade
Author(s)
Mao, X
Zaki, TA
Sherwin, SJ
Blackburn, HM
Type
Journal Article
Abstract
Flow past a NACA 65 blade at chord-based Reynolds number 138 500 is studied using stability analysis, generalized (spatially weighted) transient growth analysis and direct numerical simulations (DNS). The mechanisms of transition on various sections of the blade observed in previous work by Zaki et al. (J. Fluid Mech., vol. 665, 2010, pp. 57-98) are examined, with a focus on the pressure side around the leading edge. In this region, the linearly most energetic perturbation has spanwise wavenumber 40π (five boundary-layer thicknesses) and is tilted against the mean shear to take advantage of the Orr mechanism. In a DNS, the nonlinear development of this optimal perturbation induces Λ structures, which are further stretched to hairpin vortices before breaking down to turbulence. At higher spanwise wavenumber, e.g. 120π, a free-stream optimal perturbation is obtained upstream of the leading edge, in the form of streamwise vortices. During its nonlinear evolution, this optimal perturbation tilts the mean shear and generates spanwise periodic high- and low-speed streaks. Then through a nonlinear lift-up mechanism, the low-speed streaks are lifted above the high-speed ones. This layout of streaks generates a mean shear with two inflectional points and activates secondary instabilities, namely inner and outer instabilities previously reported in the literature.
Date Issued
2017-05-12
Date Acceptance
2017-05-12
Citation
Journal of Fluid Mechanics, 2017, 820, pp.604-632
ISSN
0022-1120
Publisher
Cambridge University Press
Start Page
604
End Page
632
Journal / Book Title
Journal of Fluid Mechanics
Volume
820
Copyright Statement
©
Cambridge University Press 2017
This is an Open Access article, distributed under the terms of the Creative Commons Attribution
licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Cambridge University Press 2017
This is an Open Access article, distributed under the terms of the Creative Commons Attribution
licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
boundary layer receptivity
transition to turbulence
FREE-STREAM TURBULENCE
DIRECT NUMERICAL SIMULATIONS
BOUNDARY-LAYER-TRANSITION
BYPASS TRANSITION
OPTIMAL DISTURBANCES
PRESSURE-GRADIENTS
TRANSIENT GROWTH
STENOTIC FLOW
HEAT-TRANSFER
INSTABILITY
01 Mathematical Sciences
09 Engineering
Fluids & Plasmas
Publication Status
Published