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Technical Briefs

Energy Analysis of Viscoelasticity Effect in Pipe Fluid Transients

[+] Author and Article Information
Huan-Feng Duan

Department of Civil and Environmental Engineering, Hong Kong University of Science and Technology, Hong Kong SARceduan@ust.hk

Mohamed S. Ghidaoui

Department of Civil and Environmental Engineering, Hong Kong University of Science and Technology, Hong Kong SARghidaoui@ust.hk

Yeou-Koung Tung

Department of Civil and Environmental Engineering, Hong Kong University of Science and Technology, Hong Kong SARcetung@ust.hk

J. Appl. Mech 77(4), 044503 (Apr 12, 2010) (5 pages) doi:10.1115/1.4000915 History: Received May 11, 2009; Revised November 19, 2009; Published April 12, 2010; Online April 12, 2010

This study investigates the energy relations and dissipations in viscoelastic pipeline under fluid transients. The investigation is carried out analytically using energy analysis and Fourier transform techniques for viscoelastic waterhammer governing equations. The analytical results show that the viscoelastic term in waterhammer models is wrongly referred to in literature as being wave damping/dissipation when in actual fact it is the work done by the fluid on the pipe and vice versa. The energy dissipation is actually occurred in the pipe-wall due to the viscoelastic material strain. Moreover, the energy transfer/exchange between the fluid and pipe-wall and energy dissipation in the pipe-wall due to viscoelasticity effect is relating to the ratio of the pipe viscoelastic frequency and the fluid wave frequency.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Variation in energy rate due to friction and viscoelastic effects: (a) valve-closure and (b) valve opening

Grahic Jump Location
Figure 2

Energy variation in pipe fluid transients caused by valve-closure

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