Hydraulic variable orifice shaped as rectangular slot
The block models a variable orifice created by a cylindrical sharp-edged spool and a rectangular slot in a sleeve. The flow rate through the orifice is proportional to the orifice opening and to the pressure differential across the orifice. 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|
|b||Width of the orifice slot|
|x||Spool displacement from initial position|
|or||Orifice orientation indicator. The variable assumes +1 value if a spool displacement in the globally assigned positive direction opens the orifice, and –1 if positive motion decreases the opening.|
|ν||Fluid kinematic viscosity|
|pcr||Minimum pressure for turbulent flow|
|Recr||Critical Reynolds number|
|DH||Instantaneous orifice hydraulic diameter|
|Aleak||Closed orifice leakage area|
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
S opens or closes the orifice depending
on the value of the parameter Orifice orientation.
Fluid inertia is not taken into account.
The width of the rectangular slot. The default value is
Semi-empirical parameter for orifice 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
Orifice initial opening. The parameter can be positive (underlapped
orifice), negative (overlapped orifice), or equal to zero for zero
lap configuration. The value of initial opening does not depend on
the orifice orientation. The default value is
The parameter is introduced to specify the effect of the orifice
control member motion on the valve opening. The parameter can be set
to one of two options:
Opens in positive direction or
in negative direction. The value
Opens in positive
direction specifies an orifice whose control member opens
the valve when it is shifted in the globally assigned positive direction.
The parameter is extremely useful for building a multi-orifice valve
with all the orifices being controlled by the same spool. The default
Opens in positive direction.
The maximum Reynolds number for laminar flow. The transition
from laminar to turbulent regime is assumed to take place when the
Reynolds number reaches this value. 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
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. An isolated or "hanging"
part of the system could affect computational efficiency and even
cause simulation to fail. Therefore, MathWorks recommends that you
do not set this parameter to 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 orifice inlet.
Hydraulic conserving port associated with the orifice outlet.
Physical signal port to control spool displacement.
The flow rate is positive if fluid flows from port
B. Positive signal at the physical signal
S opens or closes the orifice depending on
the value of the parameter Orifice orientation.