Calculations of Wall Shear Stress in Harmonically Oscillated Turbulent Pipe Flow Using a Low-Reynolds-Number k-ε Model

Author:

Ismael J. O.1,Cotton M. A.1

Affiliation:

1. School of Engineering, University of Manchester, Manchester M13 9PL, United Kingdom

Abstract

The low-Reynolds-number k-ε turbulence model of Launder and Sharma is applied to the calculation of wall shear stress in spatially fully-developed turbulent pipe flow oscillated at small amplitudes. It is believed that the present study represents the first systematic evaluation of the turbulence closure under consideration over a wide range of frequency. Model results are well correlated in terms of the parameter ω+ = ωv/Uτ2 at high frequencies, whereas at low frequencies there is an additional Reynolds number dependence. Comparison is made with the experimental data of Finnicum and Hanratty.

Publisher

ASME International

Subject

Mechanical Engineering

Reference16 articles.

1. Binder, G., Tardu, S., Blackwelder, R. F., and Kueny, J. L., 1985, “Large Amplitude Periodic Oscillations in the Wall Region of a Turbulent Channel Flow,” Proc. 5th Symposium on Turbulent Shear Flows, Cornell University, Ithaca, NY.

2. Blondeaux, P., and Colombini, M., 1985, “Pulsatile Turbulent Pipe Flow,” Proc. 5th Symposium on Turbulent Shear Flows, Cornell University, Ithaca, NY.

3. Burnel, S., Raelison, J. C., and Thomas, J. M., 1990, “Radial Distribution of the Reynolds Stress in a Turbulent Pulsating Flow in a Pipe,” Engineering Turbulence Modelling and Experiments, (Rodi, W., and Ganic, E. N., eds.), Elsevier, New York, pp. 419–427.

4. Cotton, M. A., and Ismael, J. O., 1991, “An Examination of Periodic Turbulent Pipe Flow Using a Low-Reynolds-Number k-ε Turbulence Model,” Proc. 8th Symposium on Turbulent Shear Flows, Technical University of Munich, Germany.

5. Cousteix, J., and Houdeville, R., 1985, “Turbulence and Skin Friction Evolutions in an Oscillating Boundary Layer,” Proc. 5th Symposium on Turbulent Shear Flows, Cornell University, Ithaca, NY.

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