Engee documentation

Pressure Relief Valve (G)

Safety valve in the gas network.

pressure relief valve g

Description

The Pressure Relief Valve (G) is a pressure relief valve for the gas mains. At normal pressure, the valve is closed and only releases the leakage flow. When the set pressure is exceeded, the valve begins to open, allowing gas to escape from the high pressure area. The opening area increases as the inlet pressure rises to the maximum value at which the valve is fully open and the pressure rises without stopping.

The valve responds to inlet pressure versus outlet pressure or inlet pressure versus ambient pressure. The selected pressure measurement is the control pressure of the valve. The Control pressure specification parameter determines which of the measurements the unit uses in the simulation.

The relationship between the opening area and the differential pressure depends on the valve parameter settings. This relationship can be a linear analytical expression or a tabular function.

The flow can be laminar or turbulent and can reach sonic velocities. The maximum velocity occurs at the valve seat where the flow is narrowest and fastest. Flow reaches critical mode and maximum velocity when the pressure drop downstream can no longer increase velocity. Flow locking occurs when the pressure drop reaches the critical valve-specific value. The unit does not capture supersonic flow.

Pressure control

The inlet pressure is the control signal for the valve. The more the inlet pressure exceeds the set value for the valve, the larger the orifice area. The amount by which the signal pressure exceeds the set value determines the opening degree of the valve.

If Opening characteristic is set to `Linear', the unit calculates the valve opening degree to scale the flow characteristic parameters. The valve opening degree is defined as:

where

  • - control pressure.

If Opening pressure specification is set to Pressure difference of port A relative to port B, then

where is the absolute pressure at port A and is the absolute pressure at port B.

If the Opening pressure specification is set to Gauge pressure at port A, then

where is the atmospheric pressure specified in the block Gas Properties (G);

  • - setting pressure.

    • If Opening pressure specification is set to Pressure difference of port A relative to port B, is the value of Set pressure differential.

    • If the Opening pressure specification is set to Gauge pressure at port A, is the value of Set pressure (gauge).

  • - is the value of the Pressure regulation range parameter.

Numerical smoothing

If Opening characteristic is set to Linear and Smoothing factor is set to a non-zero value, the block applies numerical smoothing to the normalised control pressure, . Enabling smoothing helps maintain the numerical stability of the simulation.

Hole parameterization

The calculation of local resistance capacity depends on the value of the Valve parametrization parameter:

  • Cv flow coefficient - flow coefficient determines the dependence of the flow capacity on the pressure drop.

  • Kv flow coefficient - flow coefficient determines the dependence of flow capacity on pressure drop, .

  • Sonic conductance - steady-state acoustic conductance determines the flow capacity at critical flow, the condition at which the flow velocity is equal to the local speed of sound. Flow becomes critical when the ratio of outlet pressure to inlet pressure reaches a value called the critical pressure ratio.

  • Orifice area - the orifice area determines the flow capacity.

Orifice characteristic

The flow through the valve depends on the inlet signal that creates it. Valve opening is related to acoustic conductivity, flow coefficient or orifice area defined by the Valve parameterization.

The flow characteristic is usually given in steady-state mode, when the inlet is a constant controlled pressure. The flow characteristic depends only on the valve and can be linear or non-linear. To set the flow characteristic, use the Opening characteristic parameter:

  • Linear' - the flow rate is proportional to the degree of valve opening. As the opening degree increases from `0 to 1, the capacity value increases from the specified minimum to the specified maximum.

pressure relief valve g 1

  • `Tabulated' - the capacity value is calculated using a tabulated function, which can be linear or non-linear, depending on the degree of opening of the orifice. The function is tabulated and the independent variable is specified in the Opening pressure differential vector or Opening pressure (gauge) vector.

pressure relief valve g 2

Storing a pulse

The Valve parameterization parameter determines which equations will be used to calculate the flow rate. If the Valve parameterization parameter is set to Cv flow coefficient, the mass flow rate will be defined as

where

  • - is the flow coefficient;

  • - a constant equal to 27.3 for mass flow rate in kg/hour, pressure in bar and density in kg/m3;

  • - expansion coefficient;

  • - inlet pressure;

  • - outlet pressure;

  • - inlet density.

The coefficient of expansion is defined as

where

  • - is the ratio of adiabatic index to 1.4;

  • - value of the parameter xT pressure differential ratio factor at choked flow.

When the pressure ratio exceeds the value of the Laminar flow pressure ratio parameter, , there is a smooth transition to the use of the linearised equation

where

When the pressure ratio falls below , the flow becomes critical and the equation is used

When the Valve parameterization is set to Kv flow coefficient, the unit uses the same equations but replaces with using the ratio . For more information on the mass flow equations when the Valve parameterization is set to Kv flow coefficient or Cv flow coefficient, see [2] and [3].

When the Valve parameterization is set to `Sonic conductance', the mass flow rate is defined as

where

  • - acoustic conductivity;

  • - critical pressure ratio;

  • - Subsonic index parameter value;

  • - ISO reference temperature;

  • - ISO reference density parameter value;

  • - inlet temperature.

When the pressure ratio exceeds the value of the Laminar flow pressure ratio parameter, , there is a smooth transition to the use of the linearised equation

When the pressure ratio falls below the critical pressure ratio , the flow becomes critical and the equation is used.

For more information on mass flow equations when the Valve parametrization parameter is set to `Sonic conductance', see [1].

When the Valve parametrization is set to Orifice area, the mass flow rate is defined as

where

  • - is the area of the orifice or valve;

  • - is the value of Cross-sectional area at ports A and B;

  • - the value of Discharge coefficient;

  • - adiabatic coefficient.

When the pressure ratio exceeds the Laminar flow pressure ratio, , there is a smooth transition to the use of the linearised equation.

When the pressure ratio falls below , the flow becomes critical and the equation is used


For more information on mass flow equations when the Valve parametrization parameter is set to `Orifice area', see [4].

Mass conservation

The volume and mass of the gas inside the component are assumed to be very small, and these values are not considered. According to the principle of conservation of mass, the mass flow rate of gas entering through one port is equal to the flow rate of gas leaving through another port:

where is defined as the mass flow rate entering the valve through the port indicated by the subscript A or B.

Energy Conservation

The component being modelled is adiabatic. There is no heat exchange between the gas and the wall that surrounds it. The gas does not do any work as it moves from the inlet to the outlet. Energy can only be transferred by convection through ports A and B. According to the principle of conservation of energy, the sum of energy fluxes in the ports is always zero:

where is the energy flow into the valve via ports A or B.

Assumptions and limitations

  • The Sonic conductance value of the Valve parameterization parameter is intended for pneumatic systems. If this parameter is used for gases other than air, it may be necessary to correct the acoustic conductance value by the square root of the relative density.

  • The equation for the `Orifice area' parameterization has less accuracy for gases that are far from ideal.

  • This block does not model supersonic flow.

Ports

Conserving

# A — valve inlet
gas

Details

Gas port associated with the valve inlet.

Program usage name

port_a

# B — valve outlet
gas

Details

Gas port associated with the valve outlet.

Program usage name

port_b

Parameters

Parameters

# Opening pressure specification — differential pressure used to control the valve
Pressure difference of port A relative to port B | Gauge pressure at port A

Details

Defines the control opening pressure of the valve.

The value `Pressure difference of port A relative to port B' defines the control pressure as the pressure difference between ports A and B.

The `Gauge pressure at port A' defines the control pressure as the gauge pressure at the inlet.

Values

Pressure difference of port A relative to port B | Gauge pressure at port A

Default value

Pressure difference of port A relative to port B

Program usage name

opening_pressure_type

Evaluatable

No

# Valve parameterization — Method of setting the flow characteristic through the valve
Cv flow coefficient | Kv flow coefficient | Sonic conductance | Orifice area

Details

The mass flow calculation method is based on:

  • Cv flow coefficient - flow coefficient .

  • Kv flow coefficient - flow coefficient , which is defined as .

  • Sonic conductance - steady-state acoustic conductance.

  • Orifice area - orifice area.

Values

Cv flow coefficient | Kv flow coefficient | Sonic conductance | Orifice area

Default value

Cv flow coefficient

Program usage name

valve_parameterization

Evaluatable

No

# Opening characteristic — type of capacity characteristic
Linear | Tabulated

Details

The method the block uses to calculate the valve opening area. The following values are available:

  • Linear - the opening area is defined as a linear function depending on the degree of opening of the orifice;

  • Tabulated - the opening area is defined as a non-linear dependency that you specify in tabular form.

Values

Linear | Tabulated

Default value

Linear

Program usage name

opening_characteristic

Evaluatable

No

# Set pressure differential — set pressure
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

The differential pressure above which the valve is actuated. This pressure is set when the control pressure is the differential pressure between ports A and B.

Dependencies

To use this parameter, set the Opening pressure specification to `Pressure difference at port A relative to port B' and the Opening characteristic to `Linear'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

0.0 MPa

Program usage name

delta_p_set

Evaluatable

Yes

# Set pressure (gauge) — set pressure
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

The overpressure above which the valve is actuated. This pressure is set when the control pressure is the differential pressure between the A ports and the atmospheric pressure.

Dependencies

To use this parameter, set the Opening pressure specification to `Gauge pressure at port A' and the Opening characteristic to `Linear'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

0.1 MPa

Program usage name

p_set_gauge

Evaluatable

Yes

# Pressure regulation range — operating pressure range of the valve
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

The working pressure range of the valve. The valve starts opening at the set pressure value and opens fully at the maximum value of the working range , where .

Dependencies

To use this parameter, set the Opening characteristic parameter to `Linear'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

0.1 MPa

Program usage name

p_regulation_range

Evaluatable

Yes

# Maximum Cv flow coefficient — flow coefficient corresponding to the maximum orifice area

Details

The value of the flow coefficient , when the cross-sectional area available for flow is maximised. This parameter measures the degree to which the gas overcomes the resistive element due to the pressure drop.

Dependencies

To use this parameter, set the Valve parameterization to `Cv flow coefficient' and the Opening characteristic to `Linear'.

Default value

4.0

Program usage name

C_v_max

Evaluatable

Yes

# Opening pressure differential vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening measure - sound conductivity, flow coefficient or opening area - should be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector should be positive and monotonically increasing from left to right. These pressure values represent the pressure drop from inlet to outlet.

The first element of this parameter is the pressure setting at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Pressure difference at port A relative to port B' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Cv flow coefficient'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

delta_p_vector_C_v

Evaluatable

Yes

# Opening pressure (gauge) vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening measure - sound conductivity, flow coefficient or opening area - should be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector should be positive and monotonically increasing from left to right. These pressure values represent the pressure drop from inlet to outlet.

The first element of this parameter is the pressure setting at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Gauge pressure at port A' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Cv flow coefficient'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

p_gauge_vector_C_v

Evaluatable

Yes

# Cv flow coefficient vector — vector of flow coefficient values

Details

Vector of flow coefficients . Values should be listed in ascending order.

Dependencies

To use this parameter, set Valve parameterization to Cv flow coefficient and Opening characteristic to Linear.

Default value

[1e-6, 0.8, 1.6, 2.4, 3.2, 4.0]

Program usage name

C_v_vector

Evaluatable

Yes

# xT pressure differential ratio factor at choked flow — critical differential pressure ratio

Details

The ratio between the inlet pressure and the outlet pressure , defined as , at which the flow becomes critical. If this value is not known, it can be found in Table 2 in ISA-75.01.01 3. By default the value 0.7 is suitable for many valves.

Dependencies

To use this parameter, set the Valve parameterization parameter to Cv flow coefficient.

Default value

0.7

Program usage name

delta_p_ratio_C_v

Evaluatable

Yes

# Maximum Kv flow coefficient — flow coefficient corresponding to the maximum orifice area

Details

Flow coefficient value, , when the orifice cross-sectional area is maximum.

Dependencies

To use this parameter, set the Valve parameterization to Kv flow coefficient and the Opening characteristic to Linear.

Default value

3.6

Program usage name

K_v_max

Evaluatable

Yes

# Opening pressure differential vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening degree - sound conductivity, flow coefficient or opening area - is to be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector should be positive and monotonically increasing from left to right. These pressure values represent the pressure drop from inlet to outlet.

The first element of this parameter is the pressure setting at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Pressure difference at port A relative to port B' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Kv flow coefficient'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

delta_p_vector_K_v

Evaluatable

Yes

# Opening pressure (gauge) vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening degree - sound conductivity, flow coefficient or opening area - is to be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector shall be positive and monotonically increasing in value from left to right. These values represent the inlet overpressure.

The first element of this parameter is the valve setting pressure at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Gauge pressure at port A' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Kv flow coefficient'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

p_gauge_vector_K_v

Evaluatable

Yes

# Kv flow coefficient vector — vector of flow coefficient values

Details

Vector of flow coefficients . The values must be specified in ascending order. The dimensionality of the vector corresponds to that of the Opening fraction vector.

Dependencies

To use this parameter, set the Valve parameterization to `Kv flow coefficient' and the Opening characteristic to `Tabulated'.

Default value

[1e-6, 0.72, 1.44, 2.16, 2.88, 3.6]

Program usage name

K_v_vector

Evaluatable

Yes

# xT pressure differential ratio factor at choked flow — critical differential pressure ratio

Details

The ratio between the inlet pressure and the outlet pressure , defined as , at which the flow becomes critical. If this value is not known, it can be found in Table 2 in ISA-75.01.01 3. By default the value 0.7 is suitable for many valves.

Dependencies

To use this parameter, set the Valve parameterization parameter to Kv flow coefficient.

Default value

0.7

Program usage name

delta_p_ratio_K_v

Evaluatable

Yes

# Maximum sonic conductance — acoustic conductivity corresponding to the maximum aperture area
l/(bar*s) | gal/(min*psi) | m^3/(Pa*s)

Details

The value of acoustic conductivity when the orifice cross-sectional area is maximised.

Dependencies

To use this parameter, set the Valve parameterization to Sonic conductance and the Opening characteristic to Linear.

Values

l/(bar*s) | gal/(min*psi) | m^3/(Pa*s)

Default value

12.0 l/(bar*s)

Program usage name

C_max

Evaluatable

Yes

# Critical pressure ratio — critical pressure ratio

Details

The ratio of pressures at which the flow becomes critical and the flow velocity reaches a maximum determined by the local speed of sound. The ratio between the outlet pressure and the inlet pressure : .

Dependencies

To use this parameter, set the Valve parameterization to Sonic conductance and the Opening characteristic to Linear.

Default value

0.3

Program usage name

B_critical_linear

Evaluatable

Yes

# Opening pressure differential vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening degree - sound conductivity, flow coefficient or opening area - is to be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector should be positive and monotonically increasing from left to right. These pressure values represent the pressure drop from inlet to outlet.

The first element of this parameter is the pressure setting at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Pressure difference at port A relative to port B' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Sonic conductance'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

delta_p_vector_C

Evaluatable

Yes

# Opening pressure (gauge) vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening degree - sound conductivity, flow coefficient or opening area - is to be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector shall be positive and monotonically increasing in value from left to right. These values represent the inlet overpressure.

The first element of this parameter is the valve setting pressure at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Gauge pressure at port A' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Sonic conductance'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

p_gauge_vector_C

Evaluatable

Yes

# Sonic conductance vector — vector of acoustic conductivity values
l/(bar*s) | gal/(min*psi) | m^3/(Pa*s)

Details

Vector of acoustic conductivity values. The values should be listed in ascending order.

Dependencies

To use this parameter, set the Valve parameterization parameter to Sonic conductance.

Values

l/(bar*s) | gal/(min*psi) | m^3/(Pa*s)

Default value

[1e-5, 2.4, 4.8, 7.2, 9.6, 12.0] l/(bar*s)

Program usage name

C_vector

Evaluatable

Yes

# Critical pressure ratio vector — vector of critical pressure ratio values

Details

Vector of critical pressure ratios. The critical pressure ratio is the ratio of the outlet pressure to the inlet pressure at which the flow becomes critical and the flow velocity reaches a maximum determined by the local speed of sound.

Dependencies

To use this parameter, set the Valve parameterization to `Sonic conductance' and the Opening characteristic to `Tabulated'.

Default value

0.3 * ones(6)

Program usage name

B_critical_vector

Evaluatable

Yes

# Subsonic index — degree value used to calculate the mass flow rate in subsonic flow regime

Details

An empirical value used to more accurately calculate the mass flow rate in subsonic flow regime.

Dependencies

To use this parameter, set the Valve parameterization parameter to `Sonic conductance'.

Default value

0.5

Program usage name

m

Evaluatable

Yes

# ISO reference temperature — reference temperature according to ISO 8778
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR

Details

The temperature in the standard reference atmosphere in ISO 8778.

The values of the ISO reference parameters only need to be adjusted if acoustic conductivity values obtained with different reference values are used.

Dependencies

To use this parameter, set the Valve parameterization parameter to `Sonic conductance'.

Values

K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR

Default value

293.15 K

Program usage name

T_reference

Evaluatable

Yes

# ISO reference density — reference density according to ISO 8778
g/cm^3 | kg/m^3 | lbm/gal

Details

Density in a standard reference atmosphere in ISO 8778.

The values of the ISO reference parameters need only be adjusted if acoustic conductivity values obtained with different reference values are used.

Dependencies

To use this parameter, set the Valve parameterization parameter to `Sonic conductance'.

Values

g/cm^3 | kg/m^3 | lbm/gal

Default value

1.185 kg/m^3

Program usage name

rho_reference

Evaluatable

Yes

# Maximum orifice area — flow cross-sectional area corresponding to the maximum orifice area
m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Details

Maximum cross-sectional flow area when the cross-sectional area of the orifice is maximum.

Dependencies

To use this parameter, set Valve parameterization to Orifice area and Opening characteristic to Linear.

Values

m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Default value

1e-4 m^2

Program usage name

max_restriction_area

Evaluatable

Yes

# Opening pressure differential vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening degree - sound conductivity, flow coefficient or opening area - is to be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector should be positive and monotonically increasing from left to right. These pressure values represent the pressure drop from inlet to outlet.

The first element of this parameter is the pressure setting at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Pressure difference at port A relative to port B' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Orifice area'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

delta_p_vector_area

Evaluatable

Yes

# Opening pressure (gauge) vector — set pressures
Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Details

A vector of setting pressures at which the selected valve opening degree - sound conductivity, flow coefficient or opening area - is to be specified. This vector must be equal in size to the vector containing the valve opening data. The elements of the vector shall be positive and monotonically increasing in value from left to right. These values represent the inlet overpressure.

The first element of this parameter is the valve setting pressure at which the valve starts to open. The last element is the maximum pressure at which the valve is fully open. The difference between these two values is the pressure control range of the valve.

Dependencies

To use this parameter, set the Opening pressure specification to `Gauge pressure at port A' and the Opening characteristic to `Tabulated'.

The Valve parameterization must be set to `Orifice area'.

Values

Pa | GPa | MPa | atm | bar | kPa | ksi | psi | uPa | kbar

Default value

[0.2 : 0.2 : 1.2…​] MPa

Program usage name

p_gauge_vector_area

Evaluatable

Yes

# Orifice area vector — vector of hole area values
m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Details

Vector of the areas of the hole cross-section. The dimensionality of the vector corresponds to the Opening fraction vector. The first element of this vector is the leakage area and the last element is the maximum orifice area.

Dependencies

To use this parameter, set the Valve parameterization to `Orifice area' and the Opening characteristic to `Tabulated'.

Values

m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Default value

[1e-10, 0.2e-4, 0.4e-4, 0.6e-4, 0.8e-4, 1e-4] m^2

Program usage name

restriction_area_vector

Evaluatable

Yes

# Discharge coefficient — correction factor

Details

The correction factor is the ratio of the actual mass flow rate to the theoretical mass flow rate.

Dependencies

To use this parameter, set the Valve parameterization parameter to Orifice area.

Default value

0.64

Program usage name

C_d

Evaluatable

Yes

# Leakage flow fraction — cost ratio

Details

The ratio of the flow rate through a closed orifice to that through an open orifice.

Dependencies

To use this parameter, set the Opening characteristic to `Linear'.

Default value

1e-6

Program usage name

leakage_fraction

Evaluatable

Yes

# Smoothing factor — numerical smoothing factor

Details

A continuous smoothing factor that ensures smooth opening by correcting the orifice characteristic in the nearly open and nearly closed positions.

Dependencies

To use this parameter, set Opening characteristic to `Linear'.

Default value

0.01

Program usage name

smoothing_factor

Evaluatable

Yes

# Laminar flow pressure ratio — pressure ratio at which the flow transitions between laminar and turbulent regimes

Details

The ratio of outlet pressure to inlet pressure at which the flow transitions between laminar and turbulent flow regimes.

Typical values range from 0.995 to 0.999.

Default value

0.999

Program usage name

B_laminar

Evaluatable

Yes

# Cross-sectional area at ports A and B — area at the inlet or outlet of the valve
m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Details

This area is used when calculating the mass flow rate through the ports.

The ports are all the same size. The value of this parameter must match the inlet port area of the component to which the unit is connected.

Values

m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Default value

0.01 m^2

Program usage name

port_area

Evaluatable

Yes

See also

  1. ISO 6358-3. "Pneumatic fluid power - Determination of flow-rate characteristics of components using compressible fluids - Part 3: Method for calculating steady-state flow rate characteristics of systems". 2014.

  2. IEC 60534-2-3. "Industrial-process control valves - Part 2-3: Flow capacity - Test procedures". 2015.

  3. ANSI/ISA-75.01.01. "Industrial-Process Control Valves - Part 2-1: Flow capacity - Sizing equations for fluid flow underinstalled conditions". 2012.

  4. P. Beater. "Pneumatic Drives." Springer-Verlag Berlin Heidelberg. 2007.