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TECHNICAL PAPERS

Development of a New Simulation Technique Based on the Modal Approximation for Fluid Transients in Complex Pipeline Systems With Time-Variant Nonlinear Boundary Conditions

[+] Author and Article Information
E. Kojima

Department of Mechanical Engineering, Kanagawa University, 3-27-1, Rokkakubashi, Kanagawa-ku, Yokohama, 221-8686, Japankojime01@kanagawa-u.ac.jp

T. Yamazaki

Department of Mechanical Engineering, Kanagawa University, 3-27-1, Rokkakubashi, Kanagawa-ku, Yokohama, 221-8686, Japantoru@kanagawa-u.ac.jp

M. Shinada

Department of Mechanical Engineering, Kanagawa University, 3-27-1, Rokkakubashi, Kanagawa-ku, Yokohama, 221-8686, Japanshinam01@kanagawa-u.ac.jp

J. Fluids Eng 129(6), 791-798 (Nov 24, 2006) (8 pages) doi:10.1115/1.2734237 History: Received September 11, 2006; Revised November 24, 2006

A new simulation technique called the system modal approximation method (SMA) for fluid transients in complex pipeline systems has been proposed. The superiority of this technique compared to other existing methods has been verified. Thus far, however, detailed considerations have been limited to pipelines having elementary boundary conditions. In the present paper, for the generalization of the SMA method, calculation methods are newly proposed for the case in which the boundary conditions are given by the time-variant nonlinear relationship between pressure and flow rate, such as the conditions in a safety valve, and its usefulness is verified by comparison to experimental measurements.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Flowchart showing the computation procedure for the general-purpose SMA method

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Figure 2

Three types of compound pipeline systems herein

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Figure 3

Complex pipeline system consisting of seven elements used as an example for the explanation of the computing procedure

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Figure 4

Schematic diagram of the safety valve used in the test pipeline systems

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Figure 5

Comparisons of SMA simulations with exact solutions for frequency response functions (pipeline system No.1, solid black lines :Exact, solid grayscale lines (turquoise online) :SMA)

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Figure 6

Schematic diagram of the instrumentation systems used in the experiment

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Figure 7

Comparisons of SMA simulations with experimental results for pressure transients at instantaneously valve closure at pA0=0.6MPa and qin=0.227l∕s (solid black lines :Experiment, solid grayscale lines (turquoise online) :Simulation)

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