期刊
JOURNAL OF FLUID MECHANICS
卷 914, 期 -, 页码 -出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2020.770
关键词
turbulent boundary layers
资金
- National Aeronautics and Space Administration at the Jet Propulsion Laboratory
- California Institute of Technology
- Air Force Office of Scientific Research [FA9550-09-1-0701, FA9550-12-1-0469]
- Office of Naval Research [N00014-17-1-2307, N00014-17-1-3022]
This study presents a framework for predicting the interactions between motion and stress fluctuations in wall turbulence, derived from approximations to the Navier-Stokes equations. The model predictions are found to be consistent with observations, suggesting an effective approach for predicting the relationship between different-scale motions and stresses in wall turbulence.
We present a framework for predicting the interactions between motion at a single scale and the underlying stress fluctuations in wall turbulence, derived from approximations to the Navier-Stokes equations. The dynamical equations for an isolated scale and stress fluctuations at the same scale are obtained from a decomposition of the governing equations and formulated in terms of a transfer function between them. This transfer function is closely related to the direct correlation coefficient of Duvvuri & McKeon (J. Fluid Mech., vol. 767, 2015, R4), and approximately to the amplitude modulation coefficient described in Mathis et al. (J. Fluid Mech., vol. 628, 2009, pp. 311-337), by consideration of interactions between triadically consistent scales. In light of the agreement between analysis and observations, the modelling approach is extended to make predictions concerning the relationship between very-large motions and small-scale stress in the logarithmic region of the mean velocity. Consistent with experiments, the model predicts that the zero-crossing height of the amplitude modulation statistic coincides with the wall-normal location of the very large-scale peak in the one-dimensional premultiplied spectrum of streamwise velocity fluctuations, the critical layer location for the very large-scale motion. Implications of fixed phase relationships between small-scale stresses and larger isolated scales for closure schemes are briefly discussed.
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