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.

1.
Bowns, D. E., Tomlinson, S. P., and Dorey, R. E., 1986, “Computer Simulation Techniques for the Dynamic Performance Assessment of Fluid Power Systems,” Proc. 7th Intl. Fluid Power Symposium, Bath, England, Sept. 16–18, pp. 81–88.
2.
Ellman
A. U.
, and
Vilenius
M. J.
,
1990
, “
Methods for Simulating the Steady-State and Dynamic Behavior of Two-Way Cartridge Valve Circuits
,”
SAE J. of Commercial Vehicles
, Vol.
99
(
2
), pp.
384
393
.
3.
Ellman, A., 1992, “Proposals for Utilizing Theoretical and Experimental Methods in Modelling Two-Way Cartridge Valve Circuits,” Acta Polytechnica Scandinavica, Vol. Me 101.
4.
Krus
P.
,
1986
, “
The Simulation of Fluid Power Systems with Complex Load Dynamics
,”
Intl. J. of Modelling and Dynamics
, Vol.
6
(
2
), pp.
52
57
.
5.
Piche´
R.
, and
Ellman
A.
,
1994
, “
Numerical Integration of Fluid Power Circuit Models Using Two-Stage Semi-Implicit Runge-Kutta Methods
,”
Proc. Instn. Mech. Engrs. Part C: J. of Mechanical Engineering Science
, Vol.
208
, pp.
167
175
.
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