Computation of transient turbulent flow of liquid in pipe using unsteady friction formula

• Autorzy: Zarzycki Z. , Kudźma S.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with computation and simulation of transient turbulent flow of liquid in pipes. The unsteady shear stress at pipe wall is expressed as integral convolution of weighting function and mean acceleration of liquid. Finally, the unsteady flow of liquid in the pipe is described by two equations, i.e. integro-differential motion equation and continuity equation. The above equations have been solved by means of the method of characteristics using finite difference method. Additionally, calculations have been carried out using relation for quasi-steady wall shear stress. For water hammer, the computed results have been compared to the experimental ones. The comparison of computational and experimental data confirms a high accuracy of the solutions obtained from the calculations based on the presented formulae.

Słowa kluczowe

EN

transient; turbulent flow; unsteady friction

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN
• Czasopismo: Transactions of the Institute of Fluid-Flow Machinery
• Rocznik: 2005
• Tom: nr 116
• Strony: 27--42
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Zarzycki Z.

• Politechnika Szczecińska Katedra Mechaniki i Podstaw Konstrukcji Maszyn

autor

Kudźma S.

• Technical University of Szczecin, Department of Mechanical Engineering, Al. Piastów 19, 70-310 Szczecin, Poland

Bibliografia

• [1] Bergant A., Simpson A. R.: Estimating unsteady friction in transient cavitating pipe flow, Proc. of the 2nd Int. Conf. on Water Pipeline Systems, Edinburgh, UK 24-26 May 1994, BHRA Group Conf. Series Publ. No. 110, 1994, 2-15.
• [2] Brunone B., Golia U. M. and Greco M.: Effects of two dimensionality of pipe transients modelling, J. Hydraul. Div., Am. Soc. Civ. Eng., 121(12), 1995, 906-912.
• [3] Dailey J. W., Hankey W. L., Olive R. W., Jordan J. M.: Resistance coefficient for accelerated and decelerated flows through smooth tubes and orifices, J. Basic Eng., 78, 1956, 1071-1077.
• [4] Ghidami M. S., Mansour S.: Efficient treatment of the Vardy – Brown unsteady shear in pipe transcients, J. Hydr. Div. ASCE, Jan. 2002, 102-112.
• [5] Ohmi M., Kyomen S., Usui T.: Numerical analysis of transient flow in a liquid line, Bull. of JSME, Vol. 28. No 239, May 1985, 799-806.
• [6] Holmboe E. L., Rouleau W. T.: The effect of viscous shear on transients in liquid lines, J. Basic Eng., 89(1), 174-180, 1967.
• [7] Trikha A. K.: An efficient method for simulating frequency-dependent friction in transient liquid flow, J. of Fluids Eng., Trans. ASME, March 1975, 97-105.
• [8] Vardy A. E., Brown J. M. B., Kuo-Lun H.: A weighting function model of transient turbulent pipe flow, J. Hyd. Res. 31, 1993, No. 4, 533-548.
• [9] Vardy A. E., Brown J.: On turbulent, unsteady, smooth-pipe friction, Proc. of 7th Int. Conf. on Pressure Surges, Harrogate UK, 16-18 April 1996, BHRA Fluid Eng., 289-311.
• [10] Vardy A.E & Brown J.M.B.: Transient, turbulent, smooth pipe friction, J. Hyd. Res. 33(4), 1995, 435-456.
• [11] Wylie E. B., Streeter L. V.: Fluid Transients, McGraw-Hill, New York 1978.
• [12] Zarzycki Z.: A hydraulic resistances of unsteady liquid flow in pipes, publ. by Technical University of Szczecin, No. 516, Szczecin 1994, (in Polish).
• [13] Zarzycki Z.: Hydraulic resistance of unsteady turbulent liquid flow in pipes, Proc. of 3rd Int. Conf. on Water Pipeline Systems. The Hague, The Netherlands, 13-15 May, 1997, BHRA Fluid Eng., 163-178.
• [14] Zielke W.: Frequency-dependent friction in transient pipe flow, J. of ASME, 90, March 1968, 109-115.
• [15] Zarzycki Z.: On weighting function for wall shear stress during unsteady turbulent pipe flow, 8th Int. Conf. on Pressure Surges, The Hague 2000, BHR Group, 529–543.