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Abstrakty
Many of the pipe materials, like polyethylene (MDPE, HDPE) or polypro-pylene (PP), turn out to be visco-elastic. The materials in particular, prove to have strongly time-dependent strain properties. As the propa-gation velocity of pressure waves primarily depends on the fluid bulk modulus and the elasticity of the pipe wall, the above material property has considered the influence in unsteady pipe flow (e.g. in water ham-mer). The pressure velocity in visco-elastic pipes depends on the pres-sure oscillation frequency. The applicability of the method of MOC char-acteristics is limited in the sense that purely elastic strain behaviour has to be assumed. In order to take into account the special properties of visco-elastic pipes, the parameters of the Kelvin-Voigt elements, as well as a complex Young's modulus (dynamic modulus of elasticity) are used to described the pressure velocity. The use of the complex wave velocity seems to be especially useful. However, the velocity should be meas-ured during unsteady water flow. The experiments carried out show that pressure disturbance velocity in MDPE pipe strongly depends on the length of the pipe-line. The velocity increases noticeably when the length of the pipe decreases.
Słowa kluczowe
Rocznik
Tom
Strony
127--140
Opis fizyczny
Bibliogr. 20 poz., il.
Twórcy
autor
- Warsaw University of Technology, Institute of Water Supply and Water Engineering, Nowowiejska 20, 00--653 Warsaw, Poland
autor
- Warsaw University of Technology, Institute of Water Supply and Water Engineering, Nowowiejska 20, 00--653 Warsaw, Poland
Bibliografia
- Ashby M. F. (1997), Materials Selection in Mechanical Design (in Polish). WNT, Warszawa.
- Evangelisti G. (1969). Waterhammer Analysis by the Method of Characteristics, L'Energia Elettrica, Vol. 46, No. 10, 673-692; No. 11, 759-771; No. 12, 839-858.
- Ferry J. D. (1980), Viscoelastic Properties of Polymers, Wiley, New York.
- Franke P. G., Seyler F. (1983), Computation of Unsteady Pipe Flow with Respect to Visco-Elastic Material Properties, Journal of Hydraulic Research, IAHR, Vol. 21, No. 5, 345-353.
- Güney M. S. (1977), Water Hammer in Viscoelastic Pipes where Cross-section Parameters are Time Dependent, Proc. 4-th Int. Conf. on Pressure Surges. BHRA Fluid Eng., Bath, England, 189-204.
- Janson L. E. (1995), Plastic Pipes for Water Supply and Sewage Disposal, Borealis, Stockholm. Limmer J. (1974), Druckstossberechnung in elastischen Rohrleitungen mit Berucksichtigung der radialen Dehnung, Dissertation, TUM Munchen.
- Lisheng Suo, Wylie E. B. (1990), Complex Wavespeed and Hydraulic Transients in Viscoelastic Pipes, Journal of Fluid Engineering, Vol. 112, No. 12, 496-500.
- Meißner E. (1977), Einiluil des Rohwerkstoffes auf die Dampfung von DruckstoBschwingungen, 3R international, Vol. 16, No. 5, 267-271.
- Meißner E. (1979), Bestimmung visko-elastischer Eigenschaften von Kunststoffieitungen, 3R international, Vol. 18, No. 1, 6-10.
- Mitosek M. (1993), Oscillatory Liquid Flow in Elastic Porous Tubes, Acta Mechanica, Vol. 101, 139-153.
- Mitosek M. (2001), Fluid Mechanics in Environmental Engineering and Protection (in Polish), Wyd. Naukowe PWN.
- Mitosek M., Kodura A. (2000), Influence of Length of Pipe-Line on Energy Dissipation at Water
- Hammer (in Polish), Zeszyty Naukowe PW, seria: Inżynieria Środowiska, z. 32, 63-80.
- Pezzinga G. (2002), Unsteady Flow in Hydraulic Networks with Polymeric Additional Pipe, Journal of Hydraulic Engineering, Vol. 128, No. 2, 238-244.
- Schwarzl F. R. (1970), On the Interconversion between Visco-elastic Material Functions, Pure and Applied Chemistry, Vol. 23, No. 2/3, 219-234.
- Streeter V. L., Wylie E. B. (1998), Fluid Mechanics, Mc Graw-Hill Kogakusha, Tokyo.
- Szymkiewicz R. (1975), Analysis of Water Hammer in Pipe Network (in Polish), Archiwum Hydrotechniki, Vol. XXII, No. 1, 57-68.
- Szymkiewicz R. (2000), Mathematical Modeling of the Flow in Rivers and Channels (in Polish), Wyd. Naukowe PWN.
- Wichowski R. (2002), Selected Problems of Unsteady Flow in Water Supply Ring Network (in Polish), Monografia 27, Politechnika Gdańiska.
- Wylie E. B., Streeter V. L. (1993), Fluid Transient in Systems, Prentice-Hall Inc., Engelwood Cliffs, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0021-0008