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The paper presents two key mathematical models of transient cavitating pipe flow, i.e. column separation model (CSM) and bubbly cavitation model (BCM). Both models investigated in the paper take into account unsteady frictional loss models. The equations describing the CSM and BCM models have been solved using first the method of characteristics and then the finite differences method. The results of numerical simulations have been compared with the results obtained in the experiments. Transients which took into account unsteady wall shear stress fit well the results of experiments in comparison with quasi-steady wall shear stress model.
Rocznik
Tom
Strony
53--70
Opis fizyczny
Bibliogr. 20 poz. rys.
Twórcy
autor
autor
- Szczecin University of Technology, Department of Mechanical Engineering, al. Piastów 19, 70-310 Szczecin, Poland, zbigniew.zarzycki@ps.pl
Bibliografia
- [1] Streeter, V. L.: Water hammer analysis, ASCE, J. of Hydraulic Division. 95(6), 1969, 1959-1972.
- [2] Chaudhry, M. H., Bhallamudi S. M., Martin C. S., and Naghash M.: Analysis of transient pressure in bubbly, homogeneous, gas-liquid mixtures, Journal of Fluids Engineering, Vol. 112, 1990, 225-231.
- [3] Fujii T., and Akagawa K.: Analysis of water hammering in bubbly flows, JSME, Vol. 29, No. 265, 1986, 1746-1751.
- [4] Bergant A., and Simpson A. R.: Interesting lessons from column separation experiments, Proc. of the 7th Int. Conf. on Pressure Surges and Fluid Transients in Pipelines and Open Channels, Publication 19, BHR Group, 1996, 83-97.
- [5] Bergant A., and Simpson A. R.: Estimating unsteady friction in transient cavitating pipe flow, Proc. of the 2nd Int. Conf. on Water Pipline Systems, BHRA Group Conf. Series Publ., No. 110, UK, 24-26 May, Edinburgh, 1994, 3-16.
- [6]Bergant A., and Simpson A. R.: Pipline column separation flow regimes, J. of Hydraulic Engineering, August 1999, 835-848.
- [7] Simpson A. R., and Bergant A.: Numerical comparison of pipe-column- separation models, J. of Hydraulic Engineering, Vol. 120, No. 3, 1994, 361- 377.
- [8] Wylie E.B., and Streeter L.V.: Fluid Transients, McGraw-Hill, New York 1978.
- [9] Adamkowski A.: Theoretical and experimental investigation of waterhammer attenuation by cut-off and bypass valves in pipeline systems of hydraulic turbomachines, IMP PAN, Gdańsk 1996, (in Polish).
- [10] Shu J. J.: Modelling vaporous cavitation on fluid transients, Int. J. of Pressure Vessels and Piping, Vol. 80, 2003, 187-195.
- [11] 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.
- [12] Zielke W.: Frequency-dependent friction in transient pipe flow, J. of ASME, 90, March 1968, 109-115.
- [13] Zarzycki Z., and Kudźma S.: Simulations of transient turbulent flow in liquid lines using time - dependent frictional losses, Proc. of the 9th Int. Conf. on Pressure Surges, BHR Group, Chester, UK, 24-26 March, 2004, 439-455.
- [14] Zarzycki Z.: On weighting function for wall shear stress during unsteady turbulent flow, Proc. of 8th Int. Conf. on Pressure Surges, BHR Group Conf. Series, No 39, 12-14 April. 2000, The Hague, The Netherlands, 529-534.
- [15] Zarzycki Z., Kudźma S.: Computation of transient turbulent flow of liquid in pipe using unsteady friction formula, Trans, of the Institute of Fluid-Flow Machinery, No. 116, 2005, 27-42.
- [16] Schohl G. A.: Improved approximate method for simulating frequency dependent friction in transient laminar flow, J. of Fluids Eng., Trans. ASME. Vol. 115, September 1993, 420-424.
- [17] Kudźma S.: Modeling and simulation dynamical runs in closed conduits of hydraulics systems using unsteady friction model, PhD Thesis at Szczecin University of Technology, February 2005, (in Polish).
- [18] Ohmi M., Kyomen S., and Usui T.,: Numerical analysis of transient flow in a liquid line, Bulletin of JSME, Vol. 28. No 239, May 1985, 799-806.
- [19] Carpinlioglu M. O., and Gundogdu M. Y.: A critical review on pulsatile pipe flow studies directing towards future research topics, Flow Measurement and Instrumentation 12, 2001, 163-174.
- [20] Zarzycki Z., Urbanowicz K.: Modelling transient flow during water hammer considering cavitation in pressure pipes, Chemical and Process Engineering PAN, Vol. 27, No. 3/1, Wrocław 2006, 915-933.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM4-0008-0016