modelGenericDistributed_HX_withMass
A (i.e., no inlet/outlet plenum considerations, etc.) generic heat exchanger with discritized fluid and wall volumes where concurrent/counter flow is specified mass flow direction.
Information
A generic heat exchanger for any relatively simple general purpose heat transfer process.
- Currently the nodes on the shell and tube side must be equal. The lengths do not however there are no geometry checks to ensure reasonable user input.
- The wall is currently fixed as a 2D cylinder but may be generalized in the future to allow user to select wall geometry. The 2D cyclinder though does not require the tubes/shell to be cylinders but will potentially impact the results depending on what thermal resistance dominates.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Real | nParallel | 1 | # of identical parallel HXs |
| Boolean | counterCurrent | true | Swap shell side temperature and flux vector order |
| Heat Transfer | |||
| Boolean | use_HeatTransfer_tube | true | = true to use inner wall heat port (i.e., tube to wall) |
| Boolean | use_HeatTransfer_shell | true | = true to use outer wall heat port (i.e., wall to shell) |
| Shell Initialization › Start Value: Absolute Pressure | |||
| SI.AbsolutePressure | ps_start_shell | linspace_1D(p_a_start_shell, p_b_start_shell, geometry.nV) | Pressure |
| SI.AbsolutePressure | p_a_start_shell | Medium_shell.p_default | Pressure at port a |
| SI.AbsolutePressure | p_b_start_shell | p_a_start_shell + (if m_flow_a_start_shell > 0 then -1e3 elseif m_flow_a_start_shell < 0 then -1e3 else 0) | Pressure at port b |
| Shell Initialization › Start Value: Temperature | |||
| Boolean | use_Ts_start_shell | true | Use T_start if true, otherwise h_start |
| SI.Temperature[geometry.nV] | Ts_start_shell | linspace_1D(T_a_start_shell, T_b_start_shell, geometry.nV) | Temperature |
| SI.Temperature | T_a_start_shell | Medium_shell.T_default | Temperature at port a |
| SI.Temperature | T_b_start_shell | T_a_start_shell | Temperature at port b |
| Shell Initialization › Start Value: Specific Enthalpy | |||
| SI.SpecificEnthalpy | hs_start_shell | if not use_Ts_start_shell then linspace_1D(h_a_start_shell, h_b_start_shell, geometry.nV) else {Medium_shell.specificEnthalpy_pTX(ps_start_shell[i], Ts_start_shell[i], Xs_start_shell[i, 1:Medium_shell.nX]) for i in 1:geometry.nV} | Specific enthalpy |
| SI.SpecificEnthalpy | h_a_start_shell | Medium_shell.specificEnthalpy_pTX(p_a_start_shell, T_a_start_shell, X_a_start_shell) | Specific enthalpy at port a |
| SI.SpecificEnthalpy | h_b_start_shell | Medium_shell.specificEnthalpy_pTX(p_b_start_shell, T_b_start_shell, X_b_start_shell) | Specific enthalpy at port b |
| Shell Initialization › Start Value: Species Mass Fraction | |||
| SI.MassFraction[geometry.nV,Medium_shell.nX] | Xs_start_shell | linspaceRepeat_1D(X_a_start_shell, X_b_start_shell, geometry.nV) | Mass fraction |
| SI.MassFraction[Medium_shell.nX] | X_a_start_shell | Medium_shell.X_default | Mass fraction at port a |
| SI.MassFraction[Medium_shell.nX] | X_b_start_shell | X_a_start_shell | Mass fraction at port b |
| Shell Initialization › Start Value: Trace Substances | |||
| SIadd.ExtraProperty[geometry.nV,Medium_shell.nC] | Cs_start_shell | linspaceRepeat_1D(C_a_start_shell, C_b_start_shell, geometry.nV) | Mass-Specific value |
| SIadd.ExtraProperty[Medium_shell.nC] | C_a_start_shell | fill(0, Medium_shell.nC) | Mass-Specific value at port a |
| SIadd.ExtraProperty[Medium_shell.nC] | C_b_start_shell | C_a_start_shell | Mass-Specific value at port b |
| Shell Initialization › Start Value: Mass Flow Rate | |||
| SI.MassFlowRate | m_flows_start_shell | linspace(m_flow_a_start_shell, -m_flow_b_start_shell, geometry.nV + 1) | Mass flow rates |
| SI.MassFlowRate | m_flow_a_start_shell | 0 | Mass flow rate at port_a |
| SI.MassFlowRate | m_flow_b_start_shell | -m_flow_a_start_shell | Mass flow rate at port_b |
| Tube Initialization › Start Value: Absolute Pressure | |||
| SI.AbsolutePressure | ps_start_tube | linspace_1D(p_a_start_tube, p_b_start_tube, geometry.nV) | Pressure |
| SI.AbsolutePressure | p_a_start_tube | Medium_tube.p_default | Pressure at port a |
| SI.AbsolutePressure | p_b_start_tube | p_a_start_tube + (if m_flow_a_start_tube > 0 then -1e3 elseif m_flow_a_start_tube < 0 then -1e3 else 0) | Pressure at port b |
| Tube Initialization › Start Value: Temperature | |||
| Boolean | use_Ts_start_tube | true | Use T_start if true, otherwise h_start |
| SI.Temperature[geometry.nV] | Ts_start_tube | linspace_1D(T_a_start_tube, T_b_start_tube, geometry.nV) | Temperature |
| SI.Temperature | T_a_start_tube | Medium_tube.T_default | Temperature at port a |
| SI.Temperature | T_b_start_tube | T_a_start_tube | Temperature at port b |
| Tube Initialization › Start Value: Specific Enthalpy | |||
| SI.SpecificEnthalpy | hs_start_tube | if not use_Ts_start_tube then linspace_1D(h_a_start_tube, h_b_start_tube, geometry.nV) else {Medium_tube.specificEnthalpy_pTX(ps_start_tube[i], Ts_start_tube[i], Xs_start_tube[i, 1:Medium_tube.nX]) for i in 1:geometry.nV} | Specific enthalpy |
| SI.SpecificEnthalpy | h_a_start_tube | Medium_tube.specificEnthalpy_pTX(p_a_start_tube, T_a_start_tube, X_a_start_tube) | Specific enthalpy at port a |
| SI.SpecificEnthalpy | h_b_start_tube | Medium_tube.specificEnthalpy_pTX(p_b_start_tube, T_b_start_tube, X_b_start_tube) | Specific enthalpy at port b |
| Tube Initialization › Start Value: Species Mass Fraction | |||
| SI.MassFraction[geometry.nV,Medium_tube.nX] | Xs_start_tube | linspaceRepeat_1D(X_a_start_tube, X_b_start_tube, geometry.nV) | Mass fraction |
| SI.MassFraction[Medium_tube.nX] | X_a_start_tube | Medium_tube.X_default | Mass fraction at port a |
| SI.MassFraction[Medium_tube.nX] | X_b_start_tube | X_a_start_tube | Mass fraction at port b |
| Tube Initialization › Start Value: Trace Substances | |||
| SIadd.ExtraProperty[geometry.nV,Medium_tube.nC] | Cs_start_tube | linspaceRepeat_1D(C_a_start_tube, C_b_start_tube, geometry.nV) | Mass-Specific value |
| SIadd.ExtraProperty[Medium_tube.nC] | C_a_start_tube | fill(0, Medium_tube.nC) | Mass-Specific value at port a |
| SIadd.ExtraProperty[Medium_tube.nC] | C_b_start_tube | C_a_start_tube | Mass-Specific value at port b |
| Tube Initialization › Start Value: Mass Flow Rate | |||
| SI.MassFlowRate | m_flows_start_tube | linspace(m_flow_a_start_tube, -m_flow_b_start_tube, geometry.nV + 1) | Mass flow rates |
| SI.MassFlowRate | m_flow_a_start_tube | 0 | Mass flow rate at port_a |
| SI.MassFlowRate | m_flow_b_start_tube | -m_flow_a_start_tube | Mass flow rate at port_b |
| Wall Initialization › Start Value: Temperature | |||
| SI.Temperature[geometry.nR,geometry.nV] | Ts_start_wall | linspaceRepeat_1D(Ts_start_wall_tubeSide, if counterCurrent then Modelica.Math.Vectors.reverse(Ts_start_wall_shellSide) else Ts_start_wall_shellSide, geometry.nR) | Tube wall temperature |
| SI.Temperature[geometry.nV] | Ts_start_wall_tubeSide | Medium_tube.temperature_phX(ps_start_tube, hs_start_tube, Xs_start_tube) | Tube side wall temperature |
| SI.Temperature[geometry.nV] | Ts_start_wall_shellSide | Medium_shell.temperature_phX(ps_start_shell, hs_start_shell, Xs_start_shell) | Shell side wall temperature |
| Advanced › Dynamics | |||
| Modelica.Fluid.Types.Dynamics[3] | energyDynamics | {Dynamics.DynamicFreeInitial, Dynamics.DynamicFreeInitial, Dynamics.DynamicFreeInitial} | Formulation of energy balances {shell,tube,tubeWall} |
| Modelica.Fluid.Types.Dynamics[2] | massDynamics | energyDynamics[1:2] | Formulation of mass balances {shell,tube} |
| Dynamics[3] | traceDynamics | {massDynamics[1], massDynamics[2], energyDynamics[3]} | Formulation of trace substance balances {shell,tube} |
| Modelica.Fluid.Types.Dynamics[2] | momentumDynamics | {Dynamics.SteadyState, Dynamics.SteadyState} | Formulation of momentum balances {shell,tube} |
| Advanced › Shell Side | |||
| Boolean | allowFlowReversal_shell | true | = true to allow flow reversal, false restricts to design direction (port_a -> port_b) |
| Boolean | exposeState_a_shell | true | =true, p is calculated at port_a else m_flow |
| Boolean | exposeState_b_shell | false | =true, p is calculated at port_b else m_flow |
| Boolean | useLumpedPressure_shell | false | =true to lump pressure states together |
| LumpedLocation | lumpPressureAt_shell | LumpedLocation.port_a | Location of pressure for flow calculations |
| Boolean | useInnerPortProperties_shell | false | =true to take port properties for flow models from internal control volumes |
| Advanced › Tube Side | |||
| Boolean | allowFlowReversal_tube | true | = true to allow flow reversal, false restricts to design direction (port_a -> port_b) |
| Boolean | exposeState_a_tube | true | =true, p is calculated at port_a else m_flow |
| Boolean | exposeState_b_tube | false | =true, p is calculated at port_b else m_flow |
| Boolean | useLumpedPressure_tube | false | =true to lump pressure states together |
| LumpedLocation | lumpPressureAt_tube | LumpedLocation.port_a | Location of pressure for flow calculations |
| Boolean | useInnerPortProperties_tube | false | =true to take port properties for flow models from internal control volumes |
| Advanced › Tube Wall | |||
| Boolean[2] | adiabaticDims | {false, false} | =true, toggle off conduction heat transfer in dimension {1,2} |
| Trace Mass Transfer | |||
| Integer | nC | 0 | Number of trace substances transfered through wall. Currently nC must be <= min(Medium_tube.nC,Medium_shell.nC) |
| Trace Mass Transfer › Shell | |||
| Boolean | use_TraceMassTransfer_shell | false | = true to use the TraceMassTransfer model |
| Trace Mass Transfer › Tube | |||
| Boolean | use_TraceMassTransfer_tube | false | = true to use the TraceMassTransfer model |
| Trace Mass Transfer › Wall | |||
| Boolean[2] | adiabaticDimsMT | {false, false} | =true, toggle off diffusive mass transfer in dimension {1,2} |
| Real[geometry.nV,nC] | nb_wall_shellSide | fill(1, geometry.nV, nC) | Exponential parameter of (C/kb)^nb (i.e., if Sievert than nb = 2) |
| Real[geometry.nV,nC] | nb_wall_tubeSide | fill(1, geometry.nV, nC) | Exponential parameter of (C/kb)^nb (i.e., if Sievert than nb = 2) |
| Wall Initialization › Start Value: Concentration | |||
| SI.Concentration[geometry.nR,geometry.nV,nC] | Cs_start_wall | linspaceRepeat_1D_multi(Cs_start_wall_tubeSide, if counterCurrent then Modelica.Math.Matrices.flipUpDown(Cs_start_wall_shellSide) else Cs_start_wall_shellSide, geometry.nR) | |
| SI.Concentration[geometry.nV,nC] | Cs_start_wall_tubeSide | {{tube.Cs_start[i, tube.traceMassTransfer.iC[j]]*Medium_tube.density_phX(ps_start_tube[i], hs_start_tube[i], Xs_start_tube[i, :])/tube.traceMassTransfer.MMs[j] for j in 1:nC} for i in 1:geometry.nV} | Tube side wall concentration |
| SI.Concentration[geometry.nV,nC] | Cs_start_wall_shellSide | {{shell.Cs_start[i, shell.traceMassTransfer.iC[j]]*Medium_shell.density_phX(ps_start_shell[i], hs_start_shell[i], Xs_start_shell[i, :])/shell.traceMassTransfer.MMs[j] for j in 1:nC} for i in 1:geometry.nV} | Shell side wall concentration |
| Visualization | |||
| Boolean | showName | true | |
| Advanced › Wall | |||
| SI.Density[geometry.nR,geometry.nV] | ds_reference | Material_wall.density(Material_wall.setState_T(Ts_start_wall)) | Reference density of mass reference for constant volumes |
| Boolean | use_nCs_scaled | false | =true to use der(nCs_scaled) = nCbs/C_nominal else der(nCs) = nCbs. |
| Units.NonDim[nC] | C_nominal | fill(1e-6, nC) | Nominal concentration [mol/m3] for improved numeric stability |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| TRANSFORM.Fluid.Interfaces.FluidPort_Flow | port_a_tube | ||
| TRANSFORM.Fluid.Interfaces.FluidPort_Flow | port_b_tube | ||
| TRANSFORM.Fluid.Interfaces.FluidPort_Flow | port_a_shell | ||
| TRANSFORM.Fluid.Interfaces.FluidPort_Flow | port_b_shell |
Components
Contents
| Name | Description |
|---|---|
 Geometry | |
 Medium_shell | Shell side medium |
| Medium_tube | Tube side medium |
| Material_wall | Tube wall material |
 FlowModel_shell | |
| FlowModel_tube | |
 HeatTransfer_shell | |
| HeatTransfer_tube | |
 InternalHeatGen_shell | |
| InternalHeatGen_tube | |
| InternalHeatModel_wall | |
 TraceMassTransfer_shell | |
| TraceMassTransfer_tube | |
 InternalTraceGen_shell | |
| InternalTraceGen_tube | |
 InternalMassModel_wall | |
 DiffusionCoeff_wall |