The dynamic behaviour of liquid in a flexible hose is difficult to model because of complex interactions between the liquid and the hose wall. This results in two sets of coupled axial waves in the liquid and in the wall, travelling at two different wavespeeds. A method for time-domain modelling is described which represents wave propagation at the two different wavespeeds, including viscoelastic damping. Good agreement between the model and measurement is obtained. Simple corrections are included for low-frequency and static effects, including viscoelastic relaxation and non-linearities.
SteckiJ. S.DavisD. C.Fluid transmission lines - distributed parameter models. Part 1: a review of the state of the art. Proc. Instn Mech. Engrs, Part A: Power and Energy, 1986, 200 (A4), 215–228.
2.
VardyA. E.BrownJ. M. B.Kuo-LunH.A weighting function model of transient turbulent pipe frictionJ. Hydraulic Res., 1993, 31 (4), 533–548.
3.
JohnstonD. N.Efficient methods for numerical modeling of laminar friction in fluid lines. In 2004 ASME International Congress and R&D Expo, Anaheim, California, 13-19 November 2004.
4.
WongputornP.HullenderD. A.WoodsR. L.Rational polynomial transfer function approximations for fluid transients in lines. In Proceedings of ASME FEDSM 2003, 4th ASME-JSME Joint Fluids Engineering Conference, Honolulu, Hawaii, July 2004, pp. 2797–2804.
5.
TaylorS. E. M.JohnstonD. N.LongmoreD. K.Modelling of transient flows in hydraulic pipelinesProc. Instn Mech. Engrs, Part I: J. Systems and Control Engineering, 1997, 211 (16), 447–456.
6.
SoumelidisM. I.JohnstonD. N.EdgeK. A.TilleyD. G.A comparative study of modelling techniques for laminar flow transients in hydraulic pipelines. In JFPS International Symposium on Fluid Power, Tsukuba, Japan, November 2005.
7.
LongmoreD. K.The transmission and attenuation of fluid borne noise in hydraulic hose. In IMechE Conference on Quiet oil hydraulic systems, London, 1977.
8.
DrewJ. E.LongmoreD. K.JohnstonD. N.Theoretical analysis of pressure and flow ripple in flexible hoses containing tuners. Proc. Instn Mech. Engrs, Part I: J. Systems and Control Engineering, 1998, 212 (1), 405–422.
9.
YuJ.KojimaE.Wave propagation in fluids contained in finite-length anisotropic viscoelastic pipesJ. Acoust. Soc. Am., December 1998, 104 (6), 3227–3235.
10.
TaylorS. E. M.Development of numerical models for hydraulic pipelines and flexible hoses. PhD Thesis, University of Bath, 1998.
11.
TschoeglN. W.The phenomenological theory of linear viscoelastic behavior, an introduction, 1989 (Springer-Verlag, Berlin).
12.
LongmoreD. K.SchlesingerA.Transmission of vibration and pressure fluctuations through hydraulic hosesProc. Instn Mech. Engrs, Part I: J. Systems and Control Engineering, 1991, 205 (1), 97–104.
13.
DrewJ. E.LongmoreD. K.JohnstonD. N.Measurement of the longitudinal transmission characteristics of fluid-filled hoseProc. Instn Mech. Engrs, Part I: J. Systems and Control Engineering, 1997, 211 (1), 219–228.
14.
WayT. M.The use of hoses and hose inserts to reduce pressure ripple in hydraulic circuits. PhD Thesis, University of Bath, 2004.
15.
TrikhaA. K.An efficient method for simulating frequency-dependent friction in transient liquid flowTrans. ASME, J. Fluids Engng, March 1975, Ser. I, 97, 97–105.
