Orifice ISO 6358
Fixed pneumatic orifice
Description
Equations
Variables
Connections
Parameters
This Orifice component adheres to ISO standard 6358. The component calculates the mass flow rate through the orifice based on the upstream and downstream pressures, respectively. When the pressure ratio is almost unity, the compressibility effects are almost not valid and the component is assumed to have a linear relationship with the pressure drop.
Formulation Approaches
Two approaches were taken for the formulation of the flow equation inside the component. When the boolean parameter Use Restriction Area is true, the flow area at the local restriction can be provided which will be converted to sonic conductance using Gidlund's approximation.
p=pA−pB
Csonic = C hflow__x = inStreamportx⋅hflow
Orifice Gas Equation
mflow = {k⋅p1⋅1−p__2p__1T__envT__refp2p1≥b__lamregp__1⋅C⋅ρ__0⋅T__envT__ref⋅ (1−p__2p__1−b1−b2b__lamreg> p__2p__1>bp__1⋅C⋅ρ__0⋅T__0T__1p__2P__1≤bWhere, p__1 → Upstream pressure, p__2 → Downstream pressure
Linear Gain k is given by
k = C1−b__lamreg⋅ρ__01− b__lamreg−b1−b2
When Use Restriction Area is checked, Gidlund's approximation is used to calculate the sonic conductance using the restriction area
C=0.125⋅4⋅Arπ
Name
Units
Modelica ID
p
Pa
Pressure drop from A to B
pX
Pressure at port X
mflow
m3s
Mass flow rate from A to B
mflowX
Mass Flow into port X
hflowX
Jkg
Specific Enthalpy into port X
portA
Upstream Pneumatic port
portB
Downstream Pneumatic port
Fluid Medium Parameters
The Gas parameters used in the equations, are properties defined in the Gas Model component used in the model.
Default
Use default medium
true
When true the default gas properties defined for Air will be used.
useDefaultMedium
medium
−
when Use default medium is false this option gets turned on. The user can specify the name of the Gas model dragged into the canvas.
Orifice Parametrization
C__Sonic
1·10−7
m3s⋅Pa
Sonic conductance
Csonic
Use Restriction Area
false
True (checked) means flow restriction area can be given which will be converted to sonic conductance based on Gidlund's approximation
UseRestrictionArea
b
0.54
Critical pressure ratio
bcr
b__lamreg
0.999
Flow transition constant from turbulent to laminar zone
blamreg
Ar
0.0001
m2
Flow area of the local restriction; used when UseRestrictionArea is false
See Also
Pneumatics Library
Restrictions
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