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The decay power law in grid-generated turbulence

Published online by Cambridge University Press:  26 April 2006

Mohsen S. Mohamed  and
John C. Larue
Mohsen S. Mohamed
Affiliation:
Department of Mechanical Engineering, University of California, Irvine, CA 92717, USA Present address: The Department of Mechanical Engineering, Faculty of Engineering, Cairo University, Cairo, Egypt.
John C. Larue
Affiliation:
Department of Mechanical Engineering, University of California, Irvine, CA 92717, USA
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Abstract

The effect of initial conditions on the decay exponent and coefficient and virtual origin in the decay power-law form for the variation of the variance of the turbulent velocity downstream of biplane grids constructed of rods of both round and square cross-section is determined. This effect is determined for data obtained as part of the present study as well as from previous studies. These studies cover a Reynolds number range from 6000 to 68000, mesh sizes of 2.54 and 5.08 cm, and solidities of 0.34 and 0.44.

It is shown that the choice of the virtual origin and the use of data in the non-homogeneous portion of the flow can have a significant influence on the value of the parameters in the decay power-law. Criteria are developed to identify the nearly homogeneous and isotropic portion of the flow. These criteria include low values of the velocity skewness, constancy of the skewness of the velocity derivative and balance of the turbulent kinetic energy equation.

Results based on data selected by means of these criteria show that the decay exponent and virtual origin are independent of initial conditions such as Reynolds number, mesh size, solidity, and rod shape and surface roughness with values of respectively 1.30 and 0. In contrast and as expected, the decay coefficient is found to be a function of these initial conditions. Thus, the downstream variation of the variance of the turbulent velocity is universally self-similar.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 195 - 214
Copyright
© 1990 Cambridge University Press

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