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research-article

TRANSMISSION LINE MODELING OF INCLINED COMPRESSIBLE FLUID FLOWS

[+] Author and Article Information
Ala Eddine Omrani

Department of Mechanical Engineering, University of Houston, 4726 Calhoun Rd, N285 Engineering Building 1, Houston, TX 77204
aomrani@uh.edu

Matthew Franchek

Professor, Department of Mechanical Engineering, University of Houston, 4726 Calhoun Rd, W214 Engineering Building 2, Houston, TX 77204
mfranchek@central.uh.edu

Karolos Grigoriadis

Professor, Department of Mechanical Engineering, University of Houston, 4726 Calhoun Rd, W212 Engineering Building 2, Houston, TX 77204
karolos@uh.edu

1Corresponding author.

ASME doi:10.1115/1.4037133 History: Received February 10, 2017; Revised June 13, 2017

Abstract

Compressible fluid flow modeling for inclined pipelines is a challenging phenomenon due to the nonlinearity of the governing equations, and the spatial-temporal dependency of the fluid density. In this paper, the transmission line analytical model is applied to the determination of compressible fluid flow's dynamics through inclined pipelines. To establish this model, an exact transcendent solution is developed by solving the Navier-Stokes equation in the Laplace domain. A transfer function approximation, allowing the fluid flow transients determination, is recovered from the exact solution using residual calculations. The error resulting from the polynomial fraction approximation of the transfer functions is circumvented through frequency response corrections for the approximation to meet the exact function steady-state behavior. The effect of gravity and fluid compressibility on the flow dynamics as well as the interplay between those two factors are illustrated through the pressure and flowrate's frequency and time responses.

Copyright (c) 2017 by ASME
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