Fundamental Issues and Canonical Flows

A Novel Adiabatic Pipe Flow Equation for Ideal Gases

[+] Author and Article Information
Jung Seob Kim

 Bayer Technology Services, 8500 West Bay Road, MS 52, Baytown, TX 77523jung.kim@bayer.com

Navneet Radheshyam Singh

 Bayer CropScience LP, 8400 Hawthorne Road, Kansas City, MO 64120navneet.singh@bayer.com

J. Fluids Eng 134(1), 011202 (Feb 24, 2012) (6 pages) doi:10.1115/1.4005679 History: Received May 13, 2011; Revised December 31, 2011; Published February 23, 2012; Online February 24, 2012

Compressible flow involves variation in the density with changes in pressure and temperature along the pipe length. This article revisits the conventional adiabatic pipe flow equation and finds a fundamental drawback in this equation. The corrected adiabatic pipe flow equation has fixed the fundamental error in the conventional adiabatic pipe flow equation where the average density estimation for the conventional adiabatic equation is lower than the lower bound of the average density based on isothermal temperature. However, both the conventional adiabatic equation and the corrected adiabatic equation result in an over prediction of mass flux due to a deficiency in the average density definition. The over prediction of mass flux is not significant if the pressure drop is less than 40%; however, the pressure drop is usually greater than 40% of the inlet pressure for most pressure relief system applications. The authors offer a novel adiabatic pipe flow equation based on insights presented in this work. The novel adiabatic pipe flow equation is the most suitable solution for the pressure relief system applications as well as any other common application since it better represents the nature of adiabatic flow in a pipe. The experimental data previously published is compared with the predictions to validate the new adiabatic pipe flow model.

Copyright © 2012 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Typical configuration of adiabatic pipe flow (no heat transfer through the walls)

Grahic Jump Location
Figure 2

Predictions of mass flux and average density as a function of pressure ratio




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