Turbulent flow in a channel at a low Reynolds number

Abstract A two-component laser Doppler velocimeter with high spatial and temporal resolution was used to obtain measurements for fully developed turbulent flow of water through a channel with an aspect ratio of 12 : 1 at Re=5700 (based on the centerline velocity and the half-height of the channel). Statistical quantities that were determined are the mean streamwise velocity, the root-mean-square of the fluctuations of the streamwise and the normal velocities, the Reynolds shear stress and higher order moments. Turbulence production is calculated from these quantities. Turbulence statistics obtained from experiments are compared with results from a direct numerical simulation at the same Reynolds number. The good agreement validates a recent DNS, at Re=5700, which is approximately twice as large as used in most previous studies.

[1]  R. A. Antonia,et al.  Low-Reynolds-number effects in a fully developed turbulent channel flow , 1992, Journal of Fluid Mechanics.

[2]  den Jmj Jaap Toonder,et al.  Origin of high kurtosis levels in the viscous sublayer : direct numerical simulation and experiment , 1996 .

[3]  R. Adrian,et al.  Power spectra of fluid velocities measured by laser Doppler velocimetry , 1985 .

[4]  T. J. Hanratty,et al.  Measurements of turbulent flow in a channel at low Reynolds numbers , 1990 .

[5]  Katepalli Sreenivasan,et al.  The turbulent boundary layer: Frontiers in Experimental Fluid Mechanics , 1989 .

[6]  Steven A. Orszag,et al.  Transition to turbulence in plane Poiseuille and plane Couette flow , 1980, Journal of Fluid Mechanics.

[7]  John B. McLaughlin,et al.  Large‐scale computer simulation of fully developed turbulent channel flow with heat transfer , 1991 .

[8]  W. Willmarth,et al.  Reynolds-number effects on the structure of a turbulent channel flow , 1989, Journal of Fluid Mechanics.

[9]  R. A. Antonia,et al.  Low-Reynolds-number effects on near-wall turbulence , 1994, Journal of Fluid Mechanics.

[10]  Helmut Eckelmann,et al.  The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow , 1974, Journal of Fluid Mechanics.

[11]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[12]  F. Durst,et al.  LDA measurements in the near-wall region of a turbulent pipe flow , 1995, Journal of Fluid Mechanics.

[13]  Mohamed Gad-el-Hak,et al.  Reynolds Number Effects in Wall-Bounded Turbulent Flows , 1994 .

[14]  W. G. Tiederman,et al.  Drag reduction and turbulent structure in two-dimensional channel flows , 1991, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[15]  M. Niederschulte Turbulent flow through a rectangular channel , 1989 .

[16]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[17]  J. Laufer,et al.  Investigation of turbulent flow in a two-dimensional channel , 1951 .

[18]  Katepalli R. Sreenivasan,et al.  A Unified View of the Origin and Morphology of the Turbulent Boundary Layer Structure , 1988 .