Mach number dependence of near wall structure in compressible channel flows

J. Pei, J. Chen, Z. S. She, F. Hussain

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A newly developed statistical correlation structure is used to analyze compressible channel flows up to M=3.0. Using velocity-vorticity correlation structure (VVCS), the Mach number dependence of the characteristic scales of near wall structure are analyzed. The detailed results show that the length scale and the spanwise spacing of VVCS exponentially increase with Mach number in the near wall region. For example, for VVCSuωx, the length scale of the statistical streamwise structure is Lx uωx=e6.5+M/2.8+(M/4.1)2, and spacing between the structure is Dxuωx=60eM/2.2+13.3, where the parameters 2.8, 4.1 and 2.2 are characteristic Mach numbers to be explained further. The geometrical features of the statistical structure are consistent with the observations of Coleman et al., and it is also argued that the quantitative relationship between the characteristic scales of VVCS and Mach number is important to consider in performing numerical computation of compressible flows. This study also suggests that a set of geometrical structures should be invoked for modeling inhomogeneous compressible shear flows.

Original languageEnglish
Title of host publicationRecent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI
Pages146-148
Number of pages3
DOIs
StatePublished - 2011
EventProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China
Duration: Jun 30 2011Jul 3 2011

Publication series

NameAIP Conference Proceedings
Volume1376
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI
CountryChina
CityGuangzhou
Period06/30/1107/3/11

Keywords

  • channel flow,turbulent structure
  • compressibility effects
  • velocity-vorticity correlations

Fingerprint Dive into the research topics of 'Mach number dependence of near wall structure in compressible channel flows'. Together they form a unique fingerprint.

  • Cite this

    Pei, J., Chen, J., She, Z. S., & Hussain, F. (2011). Mach number dependence of near wall structure in compressible channel flows. In Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI (pp. 146-148). (AIP Conference Proceedings; Vol. 1376). https://doi.org/10.1063/1.3651859