Numerical Methods of Visco-elastic Segments on Water Hammer Pressures

Document Type : Research

Authors

1 M.Sc., Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran.

2 Professor, Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran.

3 Assistant Professor, Faculty of Civil Engineering, Jundishapur University of Technology, Dezful, Iran.

Abstract

Water hammer is a phenomenon accompanied by damage, vibration and noise. In order to deal with this phenomenon, different solutions have been proposed. Mechanical behavior of pipe material can significantly affect pressure responses of the pipe system during the transient flow. Utilizing viscoelastic pipe segments for attenuating the water hammer pressure may be considered as a damping mechanism alternate. The aim of this study is investigating the use of viscoelastic materials such as polyethylene in absorption of water hammer energy. The governing equations in this phenomenon are comprised of Continuity Equation and Momentum Equation. Discretization of the equations is done/performed by employing the Method of Characteristics (MOC). Verification of the developed numerical method is done/executed by comparing the results with the empirical results obtained from another study preformed earlier. The comparison between the results demonstrates that the numerically obtained results have acceptable accuracy. Also the effect of variations in the values of different parameters on decreasing the induced pressure is investigated. Numerous studies have been conducted on visco-elatic pipes; the innovation in this study however, is combining the use of visco-elastic and elastic material in the same pipe for cushioning the effects of water hammer.

Keywords


1. Bergant, A., Tijsseling, A., Vítkovský, J., Covas, D., Simpson, A., Lambert, M. "Further investigation of parameters affecting water hammer wave attenuation, shape and timing" IAHR journal of hydraulic research46, 2008, vol. 3, pages 382-391. [DOI:10.3826/jhr.2008.2847]
2. Covas, D., Stoianov, I., Mano, J., Ramos, H., Graham, N., Maksimovic. "The dynamic effect of pipe-wall viscoelasticity on hydraulic transients Part I-Experimental analysis and creep characterization "proceedings of the congress international association (IAHR) journal of hydraulic research, 2004, 42, pages 516-530. [DOI:10.1080/00221686.2004.9641221]
3. Soares, A., Covas, D., Ramos, H., Reis, L. "Unsteady flow with cavitation in viscoelastic pipes" International journal of fluid machinery and Systems IAHR 2009, vol. 3, pages 269-277. [DOI:10.5293/IJFMS.2009.2.4.269]
4. Keramat, A., Tijsseling, A., Ahmadi, A. "Investigation of transient cavitating flow in viscoelastic pipes" proceeding of the 25th IAHR symposium on hydraulic machinery and system Timisoara Romania September 2010, pages 1-11. [DOI:10.1088/1755-1315/12/1/012081]
5. Adamkowski, A., Lewandowski, M., "Experimental examination of unsteady friction models for transient pipe flow simulation", Journal of fluids engineering, 2006, vol. 128, pages 1351-1363. [DOI:10.1115/1.2354521]
6. Wineman, A.S., Rajagopal, K.R., Mechanical response of polymers: an introduction, Cambridge university press, 2000.
7. Covas, D., Stoianov, I., Mano, J., Ramos, H., Graham, N., Maksimovic "The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II-Model d, development, calibration and verification" proceedings of the congress international association (IAHR) Journal of hydraulic research, 2005, 43, pages 56-70. [DOI:10.1080/00221680509500111]
8. Afshar, M.H., Rohani, M. "Water hammer simulation by implicit method of characteristic" International journal of pressure vessels and piping, 2008, vol. 85, pages 851-859 [DOI:10.1016/j.ijpvp.2008.08.006]
9. Ahmadi, A., Keramat, A. "Investigation of fluid-structure interaction with various types of junction coupling" International journal of pressure vessels and piping, 2010, vol. 85, pages 1123-1141. [DOI:10.1016/j.jfluidstructs.2010.08.002]
10. Ahmadi, A., Keramat, A. "Investigation of the junction coupling due to various types of the discrete points in a piping system" The 12th international conference of international association for computer methods and advances in geomechanics (IACMAG)1-6 GOA, India October, 2008, Pages 4016- 4024
11. Bergant, A., Simpson, A. R., Vitkovsky, J. P., "Developments in unsteady pipe flow friction modelling", Journal of hydraulic research, 2001, vol. 39, pages 249-257. [DOI:10.1080/00221680109499828]
12. Bergant, A., Vítkovský, J., R. Simpson, A., Lambert, M. "Valve induced transients influenced by unsteady pipe flow friction" 2director of research, water software systems, de montfortuniv, Queens building, Norway 2001, pages 1-12.
13. Covas, D., Ramos, H., Betâmio de Almeida, A. "Impulse response method for solving hydraulic transient's viscoelastic pipes" proceedings of the congress international association (IAHR) for hydraulic research, 31ST, 2005, Vol 1, pages 168-169.
14. Covas, D., Stoianov, I., Graham, N., Maksimović, C., Ramos, H. Butler, D. "Inverse transient analysis for leak detection and calibration - a case study in a polyethylene pipe" Proceeding of the 5th international conference on hydro informatics (IWA) cardiff wales UK. 2002, pages 1154-1159.
15. Keramat, A. "Finite element based dynamic analysis of viscoelastic solids using the approximation of volterra integrals" Journal of fluid and structures, 2010, 26, pages 1123-1141.
16. Ramos, H.,Borga, A. "surge effects in pressure systems for different pipe materials" Advance in water resources and hydraulic engineering 2009, pages 2172-2176 [DOI:10.1007/978-3-540-89465-0_369]
17. Tijsseling, A.S. "Water hammer with fluid-structure interaction in thick-walled pipes", Journal of computers &structures, 2007, pages 844-851. [DOI:10.1016/j.compstruc.2007.01.008]
18. Tijsselinga, A.S., Lambertb, M., R. Simpsonb, A., L. Stephensb, Vı'tkovsky'c, J., Bergan, A. "Skalak's extended theory of water hammer" journal of sound and vibration, 2008, vol. 310 (3), pages 718-728. [DOI:10.1016/j.jsv.2007.10.037]
19. Moien Barkhori, Shervin Maleki, Masoud Mirtaheri, Meissam Nazeryan, S Mahdi S Kolbadi "Investigation of shear lag effect on tension members fillet-welded connections consisting of single and double channel sections" Structural Engineering and Mechanics, 2020, vol. 1, pages 445-455.
20. Mohammad Amin Hariri-Ardebili, S Mahdi Seyed-Kolbadi, Victor E Saouma, Jerzy W Salamon, Larry K Nuss "Anatomy of the vibration characteristics in old arch dams by random field theory" Engineering Structures, 2019, vol. 1, pages 460-475. [DOI:10.1016/j.engstruct.2018.10.082]
21. S Mahdi S Kolbadi, Ramezan Ali Alvand, Afrasiab Mirzaei "Three Dimensional Dynamic Analysis of Water Storage Tanks Considering FSI Using FEM" International Journal of Civil and Environmental Engineering, 2018, vol. 1, pages 377-386.
22. M Noori MA Hariri-Ardebili, SM Seyed-Kolbadi "Response surface method for material uncertainty quantification of infrastructures" Shock and Vibration, 2018, vol. 1, pages 1-30. [DOI:10.1155/2018/1784203]