Modelling water hammer in viscoelastic pipelines: short brief

The model of water hammer in viscoelastic pipelines is analyzed. An appropriate mathematical model of water hammer in polymer pipelines is presented. An additional term has been added to continuity equation to describe the retarded deformation of the pipe wall. The mechanical behavior of viscoelastic material is described by generalized Kelvin-Voigt model. The comparison of numerical simulation and experimental data from well known papers is presented. Short discussion about obtained results are given.

[1]  G. A. Schohl,et al.  Improved approximate method for simulating frequency-dependent friction in transient laminar flow , 1993 .

[2]  K. Urbanowicz,et al.  Universal weighting function in modeling transient cavitating pipe flow , 2012 .

[3]  A. Vardy,et al.  TRANSIENT TURBULENT FRICTION IN SMOOTH PIPE FLOWS , 2003 .

[4]  Romuald Szymkiewicz,et al.  Alternative Convolution Approach to Friction in Unsteady Pipe Flow , 2014 .

[5]  Prof.Dr.-Ing.habil. P.-G. Franke.  COMPUTATION OF UNSTEADY PIPE FLOW WITH RESPECT TO VISCO-ELASTIC MATERIAL PROPERTIES , 1983 .

[6]  Martin F. Lambert,et al.  Parameters affecting water-hammer wave attenuation, shape and timing—Part 2: Case studies , 2008 .

[7]  Kamil Urbanowicz,et al.  IMPROVED LUMPING FRICTION MODEL FOR LIQUID PIPE FLOW , 2015 .

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

[9]  Kamil Urbanowicz,et al.  IMPROVED METHOD FOR SIMULATING TRANSIENTS OF TURBULENT PIPE FLOW , 2011 .

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

[11]  A. Blanchard,et al.  Pulsating Viscoelastic Pipe Flow - Water-Hammer , 1979 .

[12]  Angus R. Simpson,et al.  Determination of the Creep Function of Viscoelastic Pipelines Using System Resonant Frequencies with Hydraulic Transient Analysis , 2016 .

[13]  S. Stuckenbruck,et al.  Transients in liquid and structure in viscoelastic pipes , 1989 .

[14]  M. Güney,et al.  An Investigation of Pressure Transients in Viscoelastic Pipes , 1979 .

[15]  A. K. Trikha,et al.  An Efficient Method for Simulating Frequency-Dependent Friction in Transient Liquid Flow , 1975 .

[16]  Kamil Urbanowicz,et al.  NEW EFFICIENT APPROXIMATION OF WEIGHTING FUNCTIONS FOR SIMULATIONS OF UNSTEADY FRICTION LOSSES IN LIQUID PIPE FLOW , 2012 .

[17]  Luisa Fernanda Ribeiro Reis,et al.  Analysis of PVC Pipe-Wall Viscoelasticity during Water Hammer , 2008 .

[18]  W. Zielke.  Frequency dependent friction in transient pipe flow , 1968 .

[19]  As Arris Tijsseling,et al.  Water hammer with fluid-structure interaction in thick-walled pipes , 2007 .

[20]  E. Rieutord,et al.  Transient Response of Fluid Viscoelastic Lines , 1982 .

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

[22]  Jim Brown,et al.  Approximation of Turbulent Wall Shear Stresses in Highly Transient Pipe Flows , 2007 .

[23]  Martin F. Lambert,et al.  Parameters affecting water-hammer wave attenuation, shape and timing—Part 1: Mathematical tools , 2008 .

[24]  Jim Brown,et al.  Evaluation of Unsteady Wall Shear Stress by Zielke’s Method , 2010 .

[25]  Ahmad Ahmadi,et al.  Waterhammer modelling of viscoelastic pipes with a time-dependent Poisson's ratio , 2013 .

[26]  Z. Zarzycki.  Hydraulic resistance of unsteady turbulent liquid flow in pipes , 1997 .

[27]  K. Weinerowska-Bords,et al.  Viscoelastic model of waterhammer in single pipeline - problems and questions , 2006 .

[28]  A. Vardy,et al.  Transient turbulent friction in fully rough pipe flows , 2004 .