A distributed parameter model of pipeline transmission line behaviour is presented, based on a Galerkin method incorporating frequency-dependent friction. This is readily interfaced to an existing model of the pumping dynamics of a plunger pump to allow time-domain simulations of pipeline pressure pulsations in both suction and delivery lines. A new model for the pump inlet manifold is also proposed.
EdgeK. A.JohnstonD. N.The secondary source method for the measurement of pump pressure ripple characteristics. Part 2: Experimental results. Proc. Instn Mech. Engrs, Part C, 1990, 204 (C1), 41–46.
2.
JohnstonD. N.EdgeK. A.Simulation of the pressure ripple characteristics of hydraulic circuits. Proc. Instn Mech. Engrs, Part C, 1989, 203 (C4), 275–282.
3.
EdgeK. A.de FreitasF. J. T.Fluid borne pressure ripple in positive displacement pump suction lines. In Sixth International Fluid Power Symposium, Cambridge, 1981, paper D4, pp. 205–217.
4.
EdgeK. A.de FreitasF. J. T.A study of pressure fluctuations in the suction lines of positive displacements pumps. Proc. Instn Mech. Engrs, Part B, 1985, 199 (B4), 211–217.
5.
SinghP. J.MadavanN.K.Complete analysis and simulation of reciprocating pumps including system piping. In Proceedings of Fourth International Pump Symposium, 1987, pp. 53–73 (American Society of Mechanical Engineers, New York).
6.
JohnstonD. N.Numerical modelling of reciprocating pumps with self-acting valves. Proc. Instn Mech. Engrs, Part I, 1991, 205 (12), 87–96.
7.
VetterG.SchweinfurterF.Elimination of disturbing and dangerous pressure oscillations caused by high pressure positive displacement pumps. In Proceedings of Sixth International Conference on Pressure Surges, 1990, pp. 309–324 (BHRA).
8.
HaywardA. T. J.Aeration in hydraulic systems—its assessment and control. In IMechE Oil Hydraulics Conference, 1961, paper 17, pp. 216–224.
9.
WylieE. B.StreeterV. L.Fluid Transients, 1978 (McGraw-Hill, New York).
10.
ShuJ.-J.EdgeK. A.BurrowsC. R.XiaoS.Transmission line modelling with vaporous cavitation. ASME paper 93-WA/FPST-2. ASME Winter Annual Meeting, New Orleans, Louisiana, 28 November-3 December 1993.
11.
EdgeK. A.BrettP. N.LeahyJ. C.Digital computer simulation as an aid in improving the performance of positive displacement pumps with self-acting valves. Proc. Instn Mech. Engrs, Part B, 1984, 198 (14), 267–274.
12.
RachfordH. H.RamseyE. L.Application of variational methods to model transient flow in complex liquid transmission systems. Soc. Petroleum Engrs J., April 1977, 17 (2), 151–166.
13.
PaygudeD. G.RaoB. V.JoshiS. G.Fluid transients following a valve closure by FEM. In Proceedings of International Conference on Finite Elements in Computational Mechanics, Bombay, India, 2–6 December 1985, pp. 615–624.
14.
ZielkeW.Frequency-dependent friction in transient pipe flow. Trans. ASME, J. Basic Engng, March1968, 90, 109–115.
15.
KagawaT.LeeI.-Y.KitagawaA.TakenakaT.High speed and accurate computing method of frequency-dependent friction in laminar pipe flow for characteristics method. Trans. Jap. Soc. Mech. Engrs, Ser. B, November1993, 49 (447), 2638–2644.
16.
VardyA. E.HuangK.-L.BrownJ. M. B.A weighting function model of transient turbulent pipe friction. J. Hydraul. Res., 1993, 31 (4), 533–548.
17.
GalerkinB. G.Series development for some cases of equilibrium of plates and beams (in Russian). Wjestnik Ingenerow Petrograd., 1915, 19, 897. Translation 63–18924, Clearinghouse, Federal Science Technological Information, Springfield, Virginia.
18.
ShinadaM.KojimaE.Fluid transient phenomena associated with column separation in the return line of a hydraulic machine press. Jap. Soc. Mech. Engrs Int. J., 1987, 30 (286), 1577–1596.
