Variable Orifice ISO 6358 - MapleSim Help
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Variable Orifice ISO 6358

Variable pneumatic orifice

Description

Equations

Variables

Connections

Parameters

Description

This Variable Orifice component adheres to ISO standard 6358. The conductance and critical pressure ratio are controlled by input signals. 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

If Use Restriction Area is not selected the inp_C is given as conductance, else inp_Ar can be given as input.

inp_C= C inp_b = bp=pApB     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

inp_Ar = ArC=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

inp_C

Input conductance

inp_C

inp_b

Input critical pressure ratio

inp_b

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 Parameterization

Name

Default

Units

Description

Modelica ID

Use Restriction Area

false

 

True (checked) means flow restriction area can be given as an input which will be converted to sonic conductance based on Gidlund's approximation

UseRestrictionArea

b__lamreg

0.999

 

Flow transition constant from turbulent to laminar zone

blamreg

See Also

Pneumatics Library

Valves