TY - GEN

T1 - Mach number dependence of near wall structure in compressible channel flows

AU - Pei, J.

AU - Chen, J.

AU - She, Z. S.

AU - Hussain, F.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - channel flow,turbulent structure

KW - compressibility effects

KW - velocity-vorticity correlations

UR - http://www.scopus.com/inward/record.url?scp=80355136415&partnerID=8YFLogxK

U2 - 10.1063/1.3651859

DO - 10.1063/1.3651859

M3 - Conference contribution

AN - SCOPUS:80355136415

SN - 9780735409361

T3 - AIP Conference Proceedings

SP - 146

EP - 148

BT - Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI

T2 - Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI

Y2 - 30 June 2011 through 3 July 2011

ER -