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A model relating Eulerian spatial and temporal velocity correlations

Published online by Cambridge University Press:  09 March 2006

MURALI R. CHOLEMARI  and
JAYWANT H. ARAKERI
MURALI R. CHOLEMARI
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, India
JAYWANT H. ARAKERI
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, India
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Abstract

In this paper we propose a model to relate Eulerian spatial and temporal velocity autocorrelations in homogeneous, isotropic and stationary turbulence. We model the decorrelation as the eddies of various scales becoming decorrelated. This enables us to connect the spatial and temporal separations required for a certain decorrelation through the ‘eddy scale’. Given either the spatial or the temporal velocity correlation, we obtain the ‘eddy scale’ and the rate at which the decorrelation proceeds. This leads to a spatial separation from the temporal correlation and a temporal separation from the spatial correlation, at any given value of the correlation relating the two correlations. We test the model using experimental data from a stationary axisymmetric turbulent flow with homogeneity along the axis.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 551 , 25 March 2006 , pp. 19 - 29
Copyright
© 2006 Cambridge University Press

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