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Orifice

Fixed pneumatic orifice

Description

Equations

Variables

Connections

Parameters

Description

The Orifice component calculates the mass flow rate through an orifice which depends on the upstream and downstream pressures, respectively. This component will not be valid to use when the pressure ratio becomes unity. To avoid numerical problems, the Orifice ISO 6358 component would be more suitable to use in such cases.

Formulation Approaches

Two approaches are taken for the formulation of the flow equation inside the component. When the boolean parameter Use Perry's flow coeff is true, Perry's relationship to calculate the coefficient of discharge as a function of pressure drop is used instead of a constant C__d  .

Equations

p=pApB hflow__x  = inStreamportxhflow

Orifice Gas Equations

mflow = AC__dp__12RT__env{γγ1p__2p__12γ  p__2p__1γ+1γp2p1b__2γ+11γ1γγ+1p__2p__1bWhere,  p__1  Upstream pressure,  p__2  Downstream pressure When Use Perry's flow coeff is true

Ar= 0.8414 0.1002p__2p__1 + 0.8415p__2p__1 2 3.9p__2p__13  + 4.6001p__2p__14  1.6827p__2p__15

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 Parameters

Name

Default

Units

Description

Modelica ID

C__d

0.7

Coefficient of discharge

Csonic

Use Perry's flow coeff

false

 

True (checked) means Perry's coefficient to calculate the coefficient of discharge will be used

UsePerrysCoeff

A

0.0001

m2

Flow Restriction Area

A

See Also

Pneumatics Library

Restrictions