NDLI: New scaling for compressible wall turbulence

Content Provider	Springer Nature Link
Author	Pei, Jie Chen, Jun Fazle, Hussain She, ZhenSu
Copyright Year	2013
Abstract	Classical Mach-number (M) scaling in compressible wall turbulence was suggested by van Driest (Van Driest E R. Turbulent boundary layers in compressible fluids. J Aerodynamics Science, 1951, 18(3): 145–160) and Huang et al. (Huang P G, Coleman G N, Bradshaw P. Compressible turbulent channel flows: DNS results and modeling. J Fluid Mech, 1995, 305: 185–218). Using a concept of velocity-vorticity correlation structure (VVCS), defined by high correlation regions in a field of two-point cross-correlation coefficient between a velocity and a vorticity component, we have discovered a limiting VVCS as the closest streamwise vortex structure to the wall, which provides a concrete Morkovin scaling summarizing all compressibility effects. Specifically, when the height and mean velocity of the limiting VVCS are used as the units for the length scale and the velocity, all geometrical measures in the spanwise and normal directions, as well as the mean velocity and fluctuation (r.m.s) profiles become M-independent. The results are validated by direct numerical simulations (DNS) of compressible channel flows with M up to 3. Furthermore, a quantitative model is found for the M-scaling in terms of the wall density, which is also validated by the DNS data. These findings yield a geometrical interpretation of the semi-local transformation (Huang et al., 1995), and a conclusion that the location and the thermodynamic properties associated with the limiting VVCS determine the M-effects on supersonic wall-bounded flows.
Starting Page	1770
Ending Page	1781
Page Count	12
File Format	PDF
ISSN	16747348
Journal	Science in China Series G
Volume Number	56
Issue Number	9
e-ISSN	18691927
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-06-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	compressible channel flow coherent structures correlation structures Morkovin’s hypothesis Physics Classical Continuum Physics Astronomy, Observations and Techniques
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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