Hydraulic poppet valve
Flow Control Valves
The Poppet Valve block models a variable orifice created by a cylindrical sharp-edged stem and a conical seat.
The flow rate through the valve is proportional to the valve opening and to the pressure differential across the valve. The flow rate is determined according to the following equations:
|pA, pB||Gauge pressures at the block terminals|
|CD||Flow discharge coefficient|
|A(h)||Instantaneous orifice passage area|
|x||Stem displacement from initial position|
|hmax||Maximum valve opening. The passage area remains constant and equal to
|Aleak||Closed valve leakage area|
|Amax||Maximum valve open area|
|pcr||Minimum pressure for turbulent flow|
The minimum pressure for turbulent flow, pcr, is calculated according to the laminar transition specification method:
By pressure ratio — The transition from laminar to turbulent regime is defined by the following equations:
pcr = (pavg + patm)(1 – Blam)
pavg = (pA + pB)/2
pavg Average pressure between the block terminals patm Atmospheric pressure, 101325 Pa Blam Pressure ratio at the transition between laminar and turbulent regimes (Laminar flow pressure ratio parameter value)
By Reynolds number — The transition from laminar to turbulent regime is defined by the following equations:
DH Valve instantaneous hydraulic diameter ν Fluid kinematic viscosity Recr Critical Reynolds number (Critical Reynolds number parameter value)
The block positive direction is from port A to port B. This means that the flow rate
is positive if it flows from A to B and the pressure differential is determined as . Positive signal at the physical signal port
opens the valve.
Basic Assumptions and Limitations
Fluid inertia is not taken into account.
The flow passage area is assumed to be equal to the frustum side surface area.
- Valve stem diameter
The diameter of the valve stem. The default value is
- Seat cone angle
The angle of the valve conical seat. The parameter value must be in the range between 0 and 180 degrees. The default value is
- Initial opening
The initial opening of the valve. The parameter value must be nonnegative. The default value is
- Flow discharge coefficient
Semi-empirical parameter for valve capacity characterization. Its value depends on the geometrical properties of the orifice, and usually is provided in textbooks or manufacturer data sheets. The default value is
- Laminar transition specification
Select how the block transitions between the laminar and turbulent regimes:
Pressure ratio— The transition from laminar to turbulent regime is smooth and depends on the value of the Laminar flow pressure ratio parameter. This method provides better simulation robustness.
Reynolds number— The transition from laminar to turbulent regime is assumed to take place when the Reynolds number reaches the value specified by the Critical Reynolds number parameter.
- Laminar flow pressure ratio
Pressure ratio at which the flow transitions between laminar and turbulent regimes. The default value is
0.999. This parameter is visible only if the Laminar transition specification parameter is set to
- Critical Reynolds number
The maximum Reynolds number for laminar flow. The value of the parameter depends on the orifice geometrical profile. You can find recommendations on the parameter value in hydraulics textbooks. The default value is
10. This parameter is visible only if the Laminar transition specification parameter is set to
- Leakage area
The total area of possible leaks in the completely closed valve. The main purpose of the parameter is to maintain numerical integrity of the circuit by preventing a portion of the system from getting isolated after the valve is completely closed. The parameter value must be greater than 0. The default value is
Parameters determined by the type of working fluid:
Fluid kinematic viscosity
The block has the following ports:
Hydraulic conserving port associated with the valve inlet.
Hydraulic conserving port associated with the valve outlet.
Physical signal port to control spool displacement.
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Introduced in R2006a