Efficient Methods for Numerical Modeling of Laminar Friction in Fluid Lines

[+] Author and Article Information
D. Nigel Johnston

Department of Mechanical Engineering, University of Bath, Claverton Down, Bath, BA2 7AY, United Kingdomensdnj@bath.ac.uk

J. Dyn. Sys., Meas., Control 128(4), 829-834 (Mar 08, 2006) (6 pages) doi:10.1115/1.2361320 History: Received January 24, 2005; Revised March 08, 2006

An improved method for simulating frequency-dependent friction in laminar pipe flow using the method of characteristics is proposed. It has a higher computational efficiency than previous methods while retaining a high accuracy. By lumping the frequency-dependent friction at the ends of the pipeline, the computational efficiency can be improved further, at the expense of a slight reduction in accuracy. The technique is also applied to the transmission line method and found to give a significant improvement in accuracy over previous methods, while retaining a very high computational efficiency.

Copyright © 2006 by American Society of Mechanical Engineers
Topics: Friction
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Figure 3

Transient response using previous models

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Figure 4

Analytical weighting function and Trikha’s approximation

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Figure 6

Analytical weighting function and approximation of Taylor

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Figure 7

Analytical weighting function and proposed approximation

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Figure 8

Predicted transient response using proposed model, using lumped and distributed friction

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Figure 9

Block diagram for transmission line model

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Figure 10

Predicted transient response using TLM

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Figure 2

Simple pipeline test case (from (9))

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Figure 1

Characteristic lines

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Figure 5

Analytical weighting function and approximation of Kagawa




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