Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-21T00:08:26.629Z Has data issue: false hasContentIssue false

The Effect of Compressibility on the Shear-Stress Distribution in Turbulent Pipe Flow

Published online by Cambridge University Press:  04 July 2016

F. Durst
Affiliation:
Imperial College, London
B. E. Launder
Affiliation:
Imperial College, London
B. Kjellstrom
Affiliation:
Aktiebolaget Atomenergi, Studsvik, Sweden

Extract

For flows at Mach numbers much less than unity the fully-developed wall shear stress in a circular pipe may be determined directly from a knowledge of the pipe radius, R, and the measured gradient in static pressure along the pipe, dp/dx. At higher subsonic Mach numbers it is conventional to apply a one-dimensional compressibility correction to make allowance for the acceleration of the fluid arising from the progressive decrease in density along the pipe. The correction procedure is to determine a “frictional” pressure gradient, dpf/dx, associated with wall shear stresses alone.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1971 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Kjellström, B. and Hedberg, S. Calibration experiments with a DISA hot-wire anemometer. Aktiebolaget Atom-energi Rep. AE 388, 1968.Google Scholar
2. Deissler, R. G. Analytical and Experimental Investigations of Adiabatic Turbulent Flow in Smooth Tubes, NACA TNTN 2138.Google Scholar
3. Nikuradse, J. Gesetzmässigigkeiten det turbulenten Strömung in glatten Rohren, VDI-Forschungsheft 356, 1932.Google Scholar
4. Shapiro, A. H. The Dynamics and Thermodynamics of Compressible Fluid Flow, Vol. 1, Ronald Press, New York, 1953.Google Scholar