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TECHNICAL PAPERS

Fluid Transmission Line Modeling Using a Variational Method

[+] Author and Article Information
Jari Mäkinen

Department of Mathematics, Tampere University of Technology, Fin-33101, Tampere, Finlande-mail: jari@mohr.me.tut.fi

Robert Piché

Department of Mathematics, Tampere University of Technology, Fin-33101, Tampere, Finland

Asko Ellman

Institute of Hydraulics and Automation, Tampere University of Technology, Fin-33101, Tampere, Finland

J. Dyn. Sys., Meas., Control 122(1), 153-162 (Nov 04, 1998) (10 pages) doi:10.1115/1.482449 History: Received November 04, 1998
Copyright © 2000 by ASME
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References

Figures

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Imaginary part of the propagation operator Γ2(s̄=iωT) and its approximations, when friction coefficient ε=1/10
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A pipe system with Q-pipe models. Pipes are connected by the orifice that simply calculates flow rate through it when pressure drop is known.
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SIMULINK realization of the Q-model with 4 modes
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A pipe system with P-pipe models. Pipes are connected to the volume that is modeled by an integrator. More than two pipes may be connected to a single volume.
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Single pipe example, pressure response at beginning of line
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Single pipe example, comparing dissipative (2D viscous) and linear friction (1D viscous) models of pressure response at beginning of line
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Water hammer example pressure response at valve for first cycle of water hammer in high-viscosity oil
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Nonlinear (turbulent) flow example pressure response at beginning of line

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