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Annex60.Fluid.MixingVolumes

Package with mixing volumes

Information

This package contains models for completely mixed volumes.

For most situations, the model Annex60.Fluid.MixingVolumes.MixingVolume should be used. The other models are only of interest if water should be added to or subtracted from the fluid volume, such as in a coil with water vapor condensation.

Extends from Modelica.Icons.VariantsPackage (Icon for package containing variants).

Package Content

Name Description
Annex60.Fluid.MixingVolumes.MixingVolume MixingVolume Mixing volume with inlet and outlet ports (flow reversal is allowed)
Annex60.Fluid.MixingVolumes.MixingVolumeMoistAir MixingVolumeMoistAir Mixing volume with heat port for latent heat exchange, to be used with media that contain water
Annex60.Fluid.MixingVolumes.Examples Examples Collection of models that illustrate model use and test models
Annex60.Fluid.MixingVolumes.Validation Validation Collection of validation models
Annex60.Fluid.MixingVolumes.BaseClasses BaseClasses Package with base classes for Annex60.Fluid.MixingVolumes

Annex60.Fluid.MixingVolumes.MixingVolume Annex60.Fluid.MixingVolumes.MixingVolume

Mixing volume with inlet and outlet ports (flow reversal is allowed)

Annex60.Fluid.MixingVolumes.MixingVolume

Information

This model represents an instantaneously mixed volume. Potential and kinetic energy at the port are neglected, and there is no pressure drop at the ports. The volume can exchange heat through its heatPort.

The volume can be parameterized as a steady-state model or as dynamic model.

To increase the numerical robustness of the model, the constant prescribedHeatFlowRate can be set by the user. This constant only has an effect if the model has exactly two fluid ports connected, and if it is used as a steady-state model. Use the following settings:

Options

The parameter mSenFac can be used to increase the thermal mass of this model without increasing its volume. This way, species concentrations are still calculated correctly even though the thermal mass increases. The additional thermal mass is calculated based on the density and the value of the function HeatCapacityCp of the medium state state_default.
This parameter can for instance be useful in a pipe model when the developer wants to lump the pipe thermal mass to the fluid volume. By default mSenFac = 1, hence the mass is unchanged. For higher values of mSenFac, the mass will be scaled proportionally.

Set the parameter use_C_flow = true to enable an input connector for the trace substance flow rate. This allows to directly add or subtract trace substances such as CO2 to the volume. See Annex60.Fluid.Sensors.Examples.PPM for an example.

Implementation

If the model is operated in steady-state and has two fluid ports connected, then the same energy and mass balance implementation is used as in steady-state component models, i.e., the use of actualStream is not used for the properties at the port.

The implementation of these balance equations is done in the instances dynBal for the dynamic balance and steBal for the steady-state balance. Both models use the same input variables:

For the rationale of selecting different energy and mass balances, and for the use of prescribedHeatFlowRate, see the documentation of Annex60.Fluid.MixingVolumes.BaseClasses.PartialMixingVolume.

For simple models that uses this model, see Annex60.Fluid.HeatExchangers.HeaterCooler_u and Annex60.Fluid.MassExchangers.Humidifier_u.

Extends from Annex60.Fluid.MixingVolumes.BaseClasses.PartialMixingVolume (Partial mixing volume with inlet and outlet ports (flow reversal is allowed)).

Parameters

TypeNameDefaultDescription
replaceable package MediumPartialMediumMedium in the component
VolumeV Volume [m3]
Nominal condition
MassFlowRatem_flow_nominal Nominal mass flow rate [kg/s]
Dynamics
Equations
DynamicsenergyDynamicsModelica.Fluid.Types.Dynamic...Type of energy balance: dynamic (3 initialization options) or steady state
DynamicsmassDynamicsenergyDynamicsType of mass balance: dynamic (3 initialization options) or steady state
RealmSenFac1Factor for scaling the sensible thermal mass of the volume
Initialization
AbsolutePressurep_startMedium.p_defaultStart value of pressure [Pa]
TemperatureT_startMedium.T_defaultStart value of temperature [K]
MassFractionX_start[Medium.nX]Medium.X_defaultStart value of mass fractions m_i/m [kg/kg]
ExtraPropertyC_start[Medium.nC]fill(0, Medium.nC)Start value of trace substances
ExtraPropertyC_nominal[Medium.nC]fill(1E-2, Medium.nC)Nominal value of trace substances. (Set to typical order of magnitude.)
Advanced
Booleanuse_C_flowfalseSet to true to enable input connector for trace substance
MassFlowRatem_flow_small1E-4*abs(m_flow_nominal)Small mass flow rate for regularization of zero flow [kg/s]
Assumptions
BooleanallowFlowReversaltrue= false to simplify equations, assuming, but not enforcing, no flow reversal. Used only if model has two ports.

Connectors

TypeNameDescription
VesselFluidPorts_bports[nPorts]Fluid inlets and outlets
HeatPort_aheatPortHeat port for sensible heat input
output RealOutputUInternal energy of the component [J]
output RealOutputmMass of the component [kg]
output RealOutputmXi[Medium.nXi]Species mass of the component [kg]
output RealOutputmC[Medium.nC]Trace substance mass of the component [kg]
input RealInputC_flow[Medium.nC]Trace substance mass flow rate added to the medium

Modelica definition

model MixingVolume "Mixing volume with inlet and outlet ports (flow reversal is allowed)" extends Annex60.Fluid.MixingVolumes.BaseClasses.PartialMixingVolume; equation connect(QSen_flow.y, steBal.Q_flow); connect(QSen_flow.y, dynBal.Q_flow); end MixingVolume;

Annex60.Fluid.MixingVolumes.MixingVolumeMoistAir Annex60.Fluid.MixingVolumes.MixingVolumeMoistAir

Mixing volume with heat port for latent heat exchange, to be used with media that contain water

Annex60.Fluid.MixingVolumes.MixingVolumeMoistAir

Information

Model for an ideally mixed fluid volume and the ability to store mass and energy. The volume is fixed, and latent and sensible heat can be exchanged.

This model represents the same physics as Annex60.Fluid.MixingVolumes.MixingVolume, but in addition, it allows adding or subtracting water in liquid phase. The mass flow rate of the added or subtracted water is specified at the port mWat_flow. The water flow rate is assumed to be added or subtracted at the temperature of the input port TWat. Adding water causes a change in enthalpy and species concentration in the volume.

Note that this model can only be used with medium models that include water as a substance. In particular, the medium model needs to implement the function enthalpyOfLiquid(T) and the integer variable Water that contains the index to the water substance. For medium that do not provide this functionality, use Annex60.Fluid.MixingVolumes.MixingVolume.

To increase the numerical robustness of the model, the constant prescribedHeatFlowRate can be set by the user. This constant only has an effect if the model has exactly two fluid ports connected, and if it is used as a steady-state model. Use the following settings:

Options

The parameter mSenFac can be used to increase the thermal mass of this model without increasing its volume. This way, species concentrations are still calculated correctly even though the thermal mass increases. The additional thermal mass is calculated based on the density and the value of the function HeatCapacityCp of the medium state state_default.
This parameter can for instance be useful in a pipe model when the developer wants to lump the pipe thermal mass to the fluid volume. By default mSenFac = 1, hence the mass is unchanged. For higher values of mSenFac, the mass will be scaled proportionally.

Set the parameter use_C_flow = true to enable an input connector for the trace substance flow rate. This allows to directly add or subtract trace substances such as CO2 to the volume. See Annex60.Fluid.Sensors.Examples.PPM for an example.

Extends from BaseClasses.PartialMixingVolume (Partial mixing volume with inlet and outlet ports (flow reversal is allowed)).

Parameters

TypeNameDefaultDescription
replaceable package MediumPartialMediumMedium in the component
VolumeV Volume [m3]
Nominal condition
MassFlowRatem_flow_nominal Nominal mass flow rate [kg/s]
Dynamics
Equations
DynamicsenergyDynamicsModelica.Fluid.Types.Dynamic...Type of energy balance: dynamic (3 initialization options) or steady state
DynamicsmassDynamicsenergyDynamicsType of mass balance: dynamic (3 initialization options) or steady state
RealmSenFac1Factor for scaling the sensible thermal mass of the volume
Initialization
AbsolutePressurep_startMedium.p_defaultStart value of pressure [Pa]
TemperatureT_startMedium.T_defaultStart value of temperature [K]
MassFractionX_start[Medium.nX]Medium.X_defaultStart value of mass fractions m_i/m [kg/kg]
ExtraPropertyC_start[Medium.nC]fill(0, Medium.nC)Start value of trace substances
ExtraPropertyC_nominal[Medium.nC]fill(1E-2, Medium.nC)Nominal value of trace substances. (Set to typical order of magnitude.)
Advanced
Booleanuse_C_flowfalseSet to true to enable input connector for trace substance
MassFlowRatem_flow_small1E-4*abs(m_flow_nominal)Small mass flow rate for regularization of zero flow [kg/s]
Assumptions
BooleanallowFlowReversaltrue= false to simplify equations, assuming, but not enforcing, no flow reversal. Used only if model has two ports.

Connectors

TypeNameDescription
replaceable package MediumMedium in the component
VesselFluidPorts_bports[nPorts]Fluid inlets and outlets
HeatPort_aheatPortHeat port for sensible heat input
output RealOutputUInternal energy of the component [J]
output RealOutputmMass of the component [kg]
output RealOutputmXi[Medium.nXi]Species mass of the component [kg]
output RealOutputmC[Medium.nC]Trace substance mass of the component [kg]
input RealInputC_flow[Medium.nC]Trace substance mass flow rate added to the medium
input RealInputmWat_flowWater flow rate added into the medium [kg/s]
input RealInputTWatTemperature of liquid that is drained from or injected into volume [K]
output RealOutputX_wSpecies composition of medium

Modelica definition

model MixingVolumeMoistAir "Mixing volume with heat port for latent heat exchange, to be used with media that contain water" extends BaseClasses.PartialMixingVolume( redeclare replaceable package Medium = Modelica.Media.Interfaces.PartialCondensingGases, dynBal(final use_mWat_flow = true), steBal(final use_mWat_flow = true)); Modelica.Blocks.Interfaces.RealInput mWat_flow(final quantity="MassFlowRate", final unit = "kg/s") "Water flow rate added into the medium"; Modelica.Blocks.Interfaces.RealInput TWat(final quantity="ThermodynamicTemperature", final unit = "K", displayUnit = "degC", min=260) "Temperature of liquid that is drained from or injected into volume"; Modelica.Blocks.Interfaces.RealOutput X_w "Species composition of medium"; Modelica.Blocks.Math.Product QLat_flow "Latent heat flow rate added to the fluid stream"; protected parameter Integer i_w(fixed=false) "Index for water substance"; parameter Real s[Medium.nXi] = { if Modelica.Utilities.Strings.isEqual(string1=Medium.substanceNames[i], string2="Water", caseSensitive=false) then 1 else 0 for i in 1:Medium.nXi} "Vector with zero everywhere except where species is"; Modelica.Blocks.Sources.RealExpression hLiq(y=Medium.enthalpyOfLiquid(TWat)) "Enthalpy of water at the given temperature"; Modelica.Blocks.Math.Add Q_flow(final k1=1, final k2=1) "Sensible and latent heat added to the volume"; Modelica.Blocks.Sources.RealExpression XLiq(y=s*Xi) "Species composition of the medium"; initial algorithm i_w := 0; for i in 1:Medium.nXi loop if s[i] > 1e-5 then i_w := i; end if; end for; assert(Medium.nXi == 0 or i_w > 0, "Substance 'water' is not present in medium '" + Medium.mediumName + "'.\n" + "Check medium model."); equation connect(mWat_flow, steBal.mWat_flow); connect(mWat_flow, dynBal.mWat_flow); connect(mWat_flow,QLat_flow. u2); connect(hLiq.y,QLat_flow. u1); connect(Q_flow.y, steBal.Q_flow); connect(Q_flow.y, dynBal.Q_flow); connect(XLiq.y, X_w); connect(QLat_flow.y, Q_flow.u2); connect(QSen_flow.y, Q_flow.u1); end MixingVolumeMoistAir;

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