Viscoelastic model of waterhammer in single pipeline - problems and questions

In the paper, viscoelastic model of waterhammer in a single polymer pipeline is analysed. The theoretical background of viscoelastic behaviour of the structure is shown and the mathematical model of waterhammer in a polymer pipeline is presented. The main problems connected with applying the model are discussed. The main emphasis is on the question of parameter estimation. Important aspects of wave speed calibration are presented. Estimation of a second group of parameters – retardation time and creep compliance values – was analysed. Problems and questions connected with the number of parameters, methods of estimation, potential non-uniqueness of the solution and accuracy of obtained calculations were discussed.

[1]  Mohamed Salah Ghidaoui,et al.  Efficient quasi-two-dimensional model for water hammer problems , 2003 .

[2]  E. Benjamin Wylie,et al.  Fluid Transients in Systems , 1993 .

[3]  Helena M. Ramos,et al.  Surge damping analysis in pipe systems: modelling and experiments Effet d'atténuation du coup de bélier dans les systèmes de conduits: modelation mathématique et expériences , 2004 .

[4]  C. Maksimovic,et al.  The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part I—experimental analysis and creep characterization , 2004 .

[5]  Lisheng Suo,et al.  Complex wavespeed and hydraulic transients in viscoelastic pipes , 1990 .

[6]  J. Ferry Viscoelastic properties of polymers , 1961 .

[7]  F. R. Schwarzl,et al.  On the interconversion between viscoelastic material functions , 1970 .

[8]  Cedo Maksimovic,et al.  The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II—model development, calibration and verification , 2005 .

[9]  Warren P. Mason,et al.  Introduction to polymer viscoelasticity , 1972 .

[10]  Mohamed Salah Ghidaoui,et al.  Discussion of "Extended Thermodynamics Derivation of Energy Dissipation in Unsteady Pipe Flow" , 2001 .

[11]  Bryan W. Karney,et al.  Velocity Profiles and Unsteady Pipe Friction in Transient Flow , 2000 .

[12]  Hanif M. Chaudhry,et al.  Applied Hydraulic Transients , 1979 .

[13]  M. Mitosek,et al.  Influence of visco-elasticity on pressure wave velocity in polyethylene MDPE pipe , 2003 .