Rotation invariant constitutive relation for Reynolds stress structure parameter

doi:10.1007/s10483-015-1927-9

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (4): 517-522.doi: https://doi.org/10.1007/s10483-015-1927-9

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Rotation invariant constitutive relation for Reynolds stress structure parameter

Jinglei XU¹, Zhengguang TU², Ning HU³

1. National Key Laboratory of Aircraft Engine, School of Energy and Power Engineering, Beihang University, Beijing 100191, China;
2. The 9th Designing of China Aerospace Science Industry Corporation, Wuhan 430000, China;
3. China Academy of Aerospace Aerodynamics, Beijing 100074, China

Received:2013-10-29 Revised:2014-08-12 Online:2015-04-01 Published:2015-04-01
Contact: Ning HU E-mail:huning.china@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11002014)

Abstract

Abstract: A new Reynolds stress constitutive formula is constructed using the first-order statistics of turbulent fluctuations instead of the mean strain rate. It includes zero empirical coefficients. The formula is validated with the direct numerical simulation (DNS) data of turbulent channel flow at Re_τ=180. The Reynolds stresses given by the proposed formula agree very well with the DNS results. The good agreement persists even after the multi-angle rotation of the coordinate system, indicating the rotation in-variance of the formula. The autocorrelation of the fluctuating velocity rather than the mean strain rate is close to the essence of the Reynolds stress.

Key words: direct numerical simulation (DNS), channel flow, Reynolds stress consti-tutive relation

2010 MSC Number:

O357.5

Jinglei XU;Zhengguang TU;Ning HU. Rotation invariant constitutive relation for Reynolds stress structure parameter. Applied Mathematics and Mechanics (English Edition), 2015, 36(4): 517-522.

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Rotation invariant constitutive relation for Reynolds stress structure parameter

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