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TECHNICAL BRIEFS

A Two Regime Orifice Flow Formula for Numerical Simulation

[+] Author and Article Information
Asko Ellman

Institute of Hydraulics and Automation, Tampere University of Technology, P.O. Box 589, FIN 33101 Tampere, Finland

Robert Piché

Department of Mathematics, Tampere University of Technology, P.O. Box 692, FIN 33101 Tampere, Finland

J. Dyn. Sys., Meas., Control 121(4), 721-724 (Dec 01, 1999) (4 pages) doi:10.1115/1.2802541 History: Received October 31, 1996; Online December 03, 2007

Abstract

Because the conventional formula for turbulent orifice flow rate has an infinite derivative when the pressure difference is zero, ODE solvers may fail during numerical simulation of fluid power circuits. To remedy this, a two-regime orifice flow formula is proposed in which an empirical polynomial laminar flow function is used for small pressure differences. The proposed formula has a smooth transition between laminar and turbulent regimes, and its derivative does not have any singularities.

Copyright © 1999 by The American Society of Mechanical Engineers
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