Orifice ISO 6358 - MapleSim Help
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Orifice ISO 6358

Fixed pneumatic orifice

Description

Equations

Variables

Connections

Parameters

Description

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.

Equations

p=pApB

Csonic = C hflow__x  = inStreamportxhflow

Orifice Gas Equation

mflow = {kp11p__2p__1T__envT__refp2p1b__lamregp__1Cρ__0T__envT__ref (1p__2p__1b1b2b__lamreg> p__2p__1>bp__1Cρ__0T__0T__1p__2P__1bWhere,  p__1  Upstream pressure,  p__2  Downstream pressure   

Linear Gain k is given by

k = C1b__lamregρ__01 b__lamregb1b2

 

When Use Restriction Area is checked, Gidlund's approximation is used to calculate the sonic conductance using the restriction area

C=0.1254Arπ 

Variables

Name

Units

Description

Modelica ID

p

Pa

Pressure drop from A to B

p

pX

Pa

Pressure at port X

pX

mflow

m3s

Mass flow rate from A to B

mflow

mflowX

m3s

Mass Flow into port X

mflowX

hflowX

Jkg

Specific Enthalpy into port X

hflowX

Connections

Name

Description

Modelica ID

portA

Upstream Pneumatic port

portA

portB

Downstream Pneumatic port

portB

Parameters

Fluid Medium Parameters

The Gas parameters used in the equations, are properties defined in the Gas Model component used in the model.

Name

Default

Units

Description

Modelica ID

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.

medium

Orifice Parametrization

Name

Default

Units

Description

Modelica ID

C__Sonic

1·107

m3sPa

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

Ar

See Also

Pneumatics Library

Restrictions