### 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 VVCS_{uωx}, the length scale of the statistical streamwise structure is L_{x} ^{uωx}=e^{6.5+M/2.8+(M/4.1)2}, and spacing between the structure is D_{x}^{uωx}=60e^{M/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 language | English |
---|---|

Title of host publication | Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI |

Pages | 146-148 |

Number of pages | 3 |

DOIs | |

State | Published - 2011 |

Event | Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China Duration: Jun 30 2011 → Jul 3 2011 |

### Publication series

Name | AIP Conference Proceedings |
---|---|

Volume | 1376 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

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

Country | China |

City | Guangzhou |

Period | 06/30/11 → 07/3/11 |

### 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

*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