Translational Mechanical Converter (MA)
The interface between humid air and translational mechanics networks.
blockType: AcausalFoundation.MoistAir.Elements.TranslationalMechanicalConverter
Path in the library:
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Description
Block Translational Mechanical Converter (MA) It is an interface (converter) between a humid air network and a mechanical translational network. The unit converts humid air pressure into mechanical force and vice versa. It can be used as a base for translational gas drives.
The converter contains a variable volume of humid air. The pressure and temperature vary depending on the compressibility and heat capacity of the humid air. Liquid water condenses from the volume of moist air when it reaches saturation. Parameter Mechanical orientation allows you to specify whether an increase in the volume of humid air leads to a positive or negative displacement of port R relative to port C.
Port A is the humid air port corresponding to the input of the converter. Port H is a thermal port connected to the temperature of the humid air inside the converter. Ports R and C are translational mechanical ports corresponding to the stem and body of the converter.
The equations
The block’s equations use these symbols:
-
Lower indexes , , and They indicate the properties of dry air, water vapor, impurity gas, and water droplets, respectively.;
-
Lower index indicates the water vapor saturation level;
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Lower indexes , and specify the appropriate port;
-
Lower index indicates the properties of the internal volume of humid air;
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— mass consumption;
-
— energy consumption;
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— heat consumption;
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— pressure;
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— density;
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— universal gas constant;
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— the volume of moist air inside the converter;
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— specific heat capacity at constant volume;
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— specific enthalpy;
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— specific internal energy;
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— mass fraction ( — specific humidity, which is a synonym for the mass fraction of water vapor);
-
— molar fraction;
-
— relative humidity;
-
— humidity coefficient;
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— the mass ratio of water droplets to moist air;
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— temperature;
-
— the time.
Conservation of mass and energy
The net consumption of moist air in the volume of the converter is equal to:
where
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— condensation consumption;
-
— the rate of evaporation of water droplets;
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— the rate of energy loss by condensed water;
-
— parameter value Fraction of condensate entrained as water droplets;
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— the level of energy added by sources of moisture and impurity gases;
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and — the mass consumption of water and gas, respectively, through the port S. Values , and They are determined by sources of moisture and impurity gases connected to the S port of the converter.
The conservation of water vapor mass relates the mass flow of water vapor to the dynamics of the humidity level in the internal volume of humid air:
Similarly, the conservation of impurity gas mass relates the mass flow rate of impurity gas to the dynamics of the impurity gas level in the internal volume of humid air.:
The equation of conservation of mass of water droplets relates the mass flow rate of water droplets to the dynamics of entrained water droplets in the internal volume of humid air:
The conservation of the mass of the mixture relates the mass flow rate of the mixture to the dynamics of pressure, temperature, and mass fractions of the internal volume of moist air.:
where — volumetric flow rate of the converter.
Finally, energy conservation relates energy consumption to the dynamics of pressure, temperature, and mass fractions of the internal volume of humid air.:
The equation of state relates the density of a mixture to pressure and temperature:
The universal gas constant of the mixture is:
Converter volume:
where
-
— the volume of liquid at which the position of the stem is equal to
0; -
— the cross-sectional area of the rod;
-
— displacement of the stem;
-
— coefficient of mechanical orientation. If the parameter value is Mechanical orientation
Pressure at A causes positive displacement of R relative to CThen . IfPressure at A causes negative displacement of R relative to CThen .
The position of the rod is zero if the volume of moist air inside the transducer is . Then, depending on the value of the parameter Mechanical orientation, the following is true:
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If the pressure at point A causes a positive displacement of R relative to C, then the displacement of the rod increases when the volume of humid air increases compared to .
-
If the pressure at point A causes a negative displacement of R relative to C, then the displacement of the rod decreases when the volume of moist air increases compared to .
The balance of forces on the mechanical interface is:
where
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— the power transmitted from port R to port C;
-
— ambient pressure.
The gas and thermal resistances in the converter are not modeled:
When the volume of humid air reaches saturation, condensation of moisture may occur. The specific humidity at saturation is:
where
-
— relative humidity at saturation (usually 1);
-
— water vapor saturation pressure corresponding to the temperature .
The condensation rate is:
where — the value of the Water droplets condensation time constant parameter.
The evaporation rate of water droplets is:
where — parameter value Water droplets evaporation time constant.
Assumptions and limitations
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The converter housing is absolutely rigid.
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The gas resistance between the input of the converter and the volume of humid air is not modeled. Connect the block Variable Local Restriction (MA) or a block Flow Resistance (MA) to port A to simulate the pressure loss associated with the inlet.
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The thermal resistance between the H port and the volume of humid air is not modeled. Use the thermal library blocks to simulate the thermal resistance between the moist air mixture and the environment, including any thermal effects of the chamber walls.
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The movable rod operates losslessly.
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The block does not simulate mechanical effects such as mechanical constraints, friction, and inertia.
Variables
Use the parameter group Initial Targets to set the priority and initial target values for the block parameter variables before modeling. For more information, see Configuring physical blocks using target values.
Ports
Conserving
#
C
—
body
translational mechanics
Details
Mechanical translational port, corresponds to the converter housing.
| Program usage name |
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R
—
stock
translational mechanics
Details
Mechanical translational port, corresponds to the stem.
| Program usage name |
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#
H
—
temperature inside the converter
warm
Details
The thermal port is connected to the temperature of the humid air inside the converter.
| Program usage name |
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A
—
humid air inlet
humid air
Details
The humid air port corresponds to the input of the converter.
| Program usage name |
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Output
#
W
—
condensation rate
scalar
Details
The output port of the signal, which contains the value of the condensation rate in the converter. If the Condensation on wall surface parameter is enabled, this port reports the total condensation rate of water vapor, which includes condensation from the volume of saturated moist air, as well as condensation on the wall of the converter.
| Data types |
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| Complex numbers support |
No |
#
F
—
information about pressure, temperature, humidity and amount of impurity gases
vector
Details
Signal output port; vector with the following elements: pressure, temperature, humidity level and amount of impurity gases inside the component. A block is used to decompress the vector signal Measurement Selector (MA).
| Data types |
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| Complex numbers support |
No |
Parameters
Initial Conditions
# Initial trace gas mass fraction — the amount of impurity gas in the humid air channel
Details
The amount of impurity gas in moist air by mass fraction at the beginning of the simulation. The mass fraction is determined relative to the total mass of water vapor, impurity gas, and dry air.
The block ignores this parameter if for the parameter Trace gas model in the block Moist Air Properties (MA) the value is set None.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mass fraction.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Initial relative humidity — relative humidity at the beginning of the simulation
Details
The relative humidity of the humid air at the beginning of the simulation. Relative humidity is the ratio of the partial pressure of water vapor to the saturation pressure of water vapor, or the ratio of the molar fraction of water vapor to the molar fraction of water vapor at saturation.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Relative humidity.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial temperature —
temperature at the beginning of the simulation
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
The initial temperature of the humid air.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Initial specific humidity — specific humidity at the beginning of the simulation
Details
The specific humidity of the humid air at the beginning of the simulation. Specific humidity is the mass fraction of water vapor relative to the total mass of water vapor, impurities, and dry air.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Specific humidity.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial wet-bulb temperature —
the temperature according to the wet thermometer at the beginning of the simulation
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
The temperature according to the wet thermometer at the beginning of the simulation. The unit uses this value to calculate humidity.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Wet-bulb temperature.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial humidity ratio priority —
priority of the humidity coefficient parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial humidity ratio during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Humidity ratio.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Initial water vapor mole fraction — molar fraction of water vapor at the beginning of the simulation
Details
The molar fraction of water vapor in a moist air channel at the beginning of the simulation. The molar fraction of water vapor is determined relative to the total molar amount of water vapor, impurities, and dry air.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Mole fraction.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial temperature priority —
priority of the temperature parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial temperature during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Initial humidity ratio — humidity coefficient at the beginning of the simulation
Details
The humidity coefficient in the humid air channel at the beginning of the simulation. The humidity coefficient is the ratio of the mass of water vapor to the mass of dry air and impurity gases.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Humidity ratio.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Initial trace gas mole fraction — molar fraction of impurity gas at the beginning of the simulation
Details
The amount of impurity gas in the moist air channel by molar fraction at the beginning of the simulation. The molar fraction is determined relative to the total molar amount of water vapor, impurity gas, and dry air.
The block ignores this parameter if for the parameter Trace gas model in the block Moist Air Properties (MA) the value is set None.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mole fraction.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial specific humidity priority —
priority of the specific humidity parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial specific humidity during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Specific humidity.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Initial mass ratio of water droplets to moist air — the ratio of water droplets to moist air
Details
The initial mass ratio of water droplets to moist air.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial trace gas specification —
impurity gas measurement type
Mass fraction | Mole fraction
Details
The type of impurity gas measurement.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial pressure priority —
priority of the pressure parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial pressure during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial mass ratio of water droplets to moist air priority —
the priority of the parameter of the ratio of the mass of water droplets to moist air
None | Low | High
Details
The priority that the solver assigns to the parameter Initial mass ratio of water droplets to moist air during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial trace gas mole fraction priority —
priority of the parameter of the molar fraction of the impurity gas
None | Low | High
Details
The priority that the solver assigns to the parameter Initial trace gas mole fraction during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mole fraction.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial wet-bulb temperature priority —
the priority of the temperature parameter according to the wet thermometer
None | Low | High
Details
The priority that the solver assigns to the parameter Initial wet-bulb temperature during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Wet-bulb temperature.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial trace gas mass fraction priority —
priority of the parameter of the mass fraction of impurity gases
None | Low | High
Details
The priority that the solver assigns to the parameter Initial trace gas mass fraction during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mass fraction.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial water vapor mole fraction priority —
priority of the parameter of the initial molar fraction of water vapor
None | Low | High
Details
The priority that the solver assigns to the parameter Initial water vapor mole fraction during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Mole fraction.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial relative humidity priority —
priority of the initial relative humidity parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial relative humidity during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Relative humidity.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial pressure —
humid air pressure at the beginning of the simulation
Pa | uPa | hPa | kPa | MPa | GPa | kgf/m^2 | kgf/cm^2 | kgf/mm^2 | mbar | bar | kbar | atm | ksi | psi | mmHg | inHg
Details
The pressure of humid air at the beginning of the simulation.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial humidity specification —
the method of setting humidity
Relative humidity | Specific humidity | Mole fraction | Humidity ratio | Wet-bulb temperature
Details
A method for determining the initial humidity of humid air.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
Moisture and Trace Gas
#
Added trace gas temperature specification —
the method of setting the temperature of the impurity gas
Atmospheric temperature | Specified temperature
Details
Selection of the method for setting the temperature of the impurity gas:
-
Atmospheric temperature— atmospheric temperature is used. -
Specified temperature— the value is set using the parameter Temperature of added trace gas.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Temperature of added trace gas —
impurity gas temperature
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
Enter the desired temperature of the added impurity gas. This temperature remains constant during the simulation. The unit uses this value only to estimate the specific enthalpy of the added impurity gas. The specific enthalpy of the removed impurity gas is determined based on the temperature of the connected volume of humid air.
Dependencies
To use this parameter, set for the parameter Added trace gas temperature specification meaning Specified temperature.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Relative humidity at saturation — relative humidity, above which moisture condensation occurs
Details
The relative humidity above which condensation occurs.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Fraction of condensate entrained as water droplets — the proportion of condensate in water droplets
Details
The proportion of condensate in moist air that is entrained in the form of water droplets.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Rate of moisture added —
constant mass flow through the source
kg/s | kg/hr | kg/min | g/hr | g/min | g/s | t/hr | lbm/hr | lbm/min | lbm/s
Details
The mass flow of moisture through the source.
A positive value adds moisture to the connected humid air network. A negative value removes moisture from this network.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Temperature of added moisture —
moisture temperature
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
Enter the moisture temperature. This temperature remains constant during the simulation. The unit uses this value only to estimate the specific enthalpy of added moisture. The specific enthalpy of the removed moisture is determined based on the temperature of the connected humid air network.
Dependencies
To use this parameter, set for the parameter Added moisture temperature specification meaning Specified temperature.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Water vapor condensation time constant —
condensation time constant
s | ns | us | ms | min | hr | d
Details
A time scale factor that characterizes the time period when an oversaturated volume of humid air returns to saturation due to condensation of excess moisture.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Rate of trace gas added —
constant mass flow through the source
kg/s | kg/hr | kg/min | g/hr | g/min | g/s | t/hr | lbm/hr | lbm/min | lbm/s
Details
Reflects the mass flow rate of the impurity gas through the source. A positive value adds impurity gas to the connected volume of humid air. A negative value removes impurity gas from this volume.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Moisture added or removed —
add or remove moisture in the form of steam or water
Water vapor | Water droplets
Details
Choose in which form the unit adds or removes moisture — in the form of steam or water.:
-
Water vapor— the enthalpy of added or removed moisture corresponds to the enthalpy of water vapor, which is greater than the enthalpy of water. -
Water droplets— the enthalpy of added or removed moisture corresponds to the enthalpy of water, which is less than the enthalpy of water vapor.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Added moisture temperature specification —
method for setting the moisture temperature
Atmospheric temperature | Specified temperature
Details
Choosing a method for setting the moisture temperature:
-
Atmospheric temperature— atmospheric temperature is used. -
Specified temperature— the value is set using the parameter Temperature of added moisture.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Water droplets evaporation time constant —
evaporation time constant
s | ns | us | ms | min | hr | d
Details
The characteristic time it takes for water droplets to evaporate, turning into steam.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Moisture and trace gas source —
source of moisture and impurity gases
None | Constant | Controlled
Details
This parameter controls the use of the S port and provides the following features for modeling moisture and impurity gas levels inside the unit:
-
None— no moisture or impurity gas is introduced into or extracted from the unit. The S port is hidden. This value is used by default. -
Constant— moisture and impurity gas are supplied to the unit or extracted from it at a constant flow rate. The same parameters as in the blocks Moisture Source (MA) and Trace Gas Source (MA), become available in the block settings. The S port is hidden. -
Controlled— moisture and impurity gas are introduced into or removed from the unit at a time-varying flow rate. Port S is available. The blocks are connected to this port Moisture Source (MA) and Trace Gas Source (MA).
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Water vapor evaporated from liquid or condensed to liquid — add or remove water vapor
Details
Select the method of adding or removing water vapor by the unit:
-
If unchecked, the enthalpy of added or removed moisture corresponds to the enthalpy of water vapor, which is greater than the enthalpy of water.
-
If this option is selected, the enthalpy of added or removed moisture corresponds to the enthalpy of water, which is less than the enthalpy of water vapor.
When water vapor is added, it evaporates from the liquid, and the latent heat is released by the bound volume of the liquid. When water vapor is removed, it condenses into a liquid, and latent heat is released to the associated volume of liquid.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant, and for the parameter Moisture added or removed meaning Water vapor.
| Default value |
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| Program usage name |
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| Evaluatable |
No |
Main
#
Initial interface displacement —
the initial offset of port R relative to port C
m | um | mm | cm | km | in | ft | yd | mi | nmi
Details
The initial offset of port R relative to port C. Meaning 0 corresponds to the initial volume of humid air equal to Dead volume.
-
If Mechanical orientation it matters
Pressure at A causes positive displacement of R relative to C, the parameter value must be greater than or equal to0. -
If Mechanical orientation it matters
Pressure at A causes negative displacement of R relative to C, the parameter value must be less than or equal to0.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Dead volume —
the volume of moist air at zero displacement of the rod
m^3 | um^3 | mm^3 | cm^3 | km^3 | ml | l | gal | igal | in^3 | ft^3 | yd^3 | mi^3
Details
The volume of moist air with a displacement of the rod equal to 0.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Environment pressure specification —
the method of setting the ambient pressure
Atmospheric pressure | Specified pressure
Details
Sets the method for setting the ambient pressure:
-
Atmospheric pressure— atmospheric pressure. -
Specified pressure— the value set by the parameter Environment pressure.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Environment pressure —
pressure outside the transducer
Pa | uPa | hPa | kPa | MPa | GPa | kgf/m^2 | kgf/cm^2 | kgf/mm^2 | mbar | bar | kbar | atm | ksi | psi | mmHg | inHg
Details
The pressure outside the transducer that counteracts the pressure of the volume of moist air inside the transducer. Meaning 0 indicates that the converter is operating in a vacuum.
Dependencies
To use this parameter, set for the parameter Environment pressure specification meaning Specified pressure.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Cross-sectional area at port A —
the area normal to the flow section at the inlet to the converter
m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac
Details
The cross-sectional area of the transducer inlet in the direction normal to the humid air flow path.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Interface cross-sectional area —
the area over which humid air exerts pressure
m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac
Details
The area over which moist air exerts pressure to create a forward force.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Mechanical orientation —
orientation of the converter
Pressure at A causes positive displacement of R relative to C | Pressure at A causes negative displacement of R relative to C
Details
Sets the orientation of the movement of the mechanical part in relation to the change in the volume of moist air:
-
Pressure at A causes positive displacement of R relative to C— an increase in the volume of humid air leads to a positive displacement of port R relative to port C. -
Pressure at A causes negative displacement of R relative to C— an increase in the volume of humid air leads to a negative displacement of port R relative to port C.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |