Turbulent Fluid Flow by Bernard Peter S.;

Author:Bernard, Peter S.; [Bernard, Peter S.]
Language: eng
Format: epub
ISBN: 9781119106241
Publisher: John Wiley & Sons, Inc.
Published: 2018-12-20T16:17:19+00:00

8.3 Log‐Law Behavior of the Velocity Mean and Variance

As in the case of channel and pipe flows considered previously, there is much interest in ascertaining the high Reynolds number similarity properties of the mean velocity field in boundary layer flow. Experimental determinations of the velocity field have gone as high as [10], which should be in the final asymptotic high Reynolds number range. Some of these findings are shown in Figure 8.5 for an experiment at [11, 12]. The figure suggests that the mean velocity profile approximates log‐law behavior with constants and in the region . A plot of the log‐law indicator function , which is expected to be constant in the region where exact log‐law behavior occurs, is also plotted. The latter shows an approximate constant trend beginning near in which there is a slight rise with suggesting that departs slightly from a perfect log law. These aspects of the mean flow in boundary layers fit in with the channel flow results in Figure 7.6.

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