modelPipe

Pipe with finite volume discretization along flow path

Extends from Buildings.Fluid.FixedResistances.BaseClasses.Pipe (Model of a pipe with finite volume discretization along the flow path).

Information

Model of a pipe with flow resistance and optional heat exchange with environment.

Heat loss calculation

There are two possible configurations:

  1. If useMultipleHeatPorts=false (default option), the pipe uses a single heat port for the heat exchange with the environment. Note that if the heat port is unconnected, then all volumes are still connected through the heat conduction elements conPipWal. Therefore, they exchange a small amount of heat, which is not physical. To avoid this, set useMultipleHeatPorts=true.
  2. If useMultipleHeatPorts=true, then one heat port for each segment of the pipe is used for the heat exchange with the environment. If the heat port is unconnected, then the pipe has no heat loss.

Pressure drop calculation

The default value for the parameter diameter is computed such that the flow velocity is equal to v_nominal=0.15 for a mass flow rate of m_flow_nominal. Both parameters, diameter and v_nominal, can be overwritten by the user. The default value for dp_nominal is two times the pressure drop that the pipe would have if it were straight with no fittings. The factor of two that takes into account the pressure loss of fittings can be overwritten. These fittings could also be explicitly modeled outside of this component using models from the package Modelica.Fluid.Fittings. For mass flow rates other than m_flow_nominal, the model Buildings.Fluid.FixedResistances.PressureDrop is used to compute the pressure drop.

For a steady-state model of a flow resistance, use Buildings.Fluid.FixedResistances.PressureDrop instead of this model.

Parameters

TypeNameDefaultDescription
BooleanhomotopyInitialization (from Pipe)true= true, use homotopy method
IntegernSeg (from Pipe)10Number of volume segments
Modelica.Units.SI.LengththicknessIns (from Pipe)Thickness of insulation
Modelica.Units.SI.ThermalConductivitylambdaIns (from Pipe)Heat conductivity of insulation
Modelica.Units.SI.Lengthdiameter (from Pipe)Pipe diameter (without insulation)
Modelica.Units.SI.Lengthlength (from Pipe)Length of the pipe
Modelica.Units.SI.Velocityv_nominal0.15Velocity at m_flow_nominal (used to compute default diameter)
Modelica.Units.SI.Lengthroughness2.5e-5Absolute roughness of pipe, with a default for a smooth steel pipe (dummy if use_roughness = false)
Modelica.Units.SI.PressureDifferencedpStraightPipe_nominalModelica.Fluid.Pipes.BaseClasses.WallFriction.Detailed.pressureLoss_m_flow(m_flow = m_flow_nominal, rho_a = rho_default, rho_b = rho_default, mu_a = mu_default, mu_b = mu_default, length = length, diameter = diameter, roughness = roughness, m_flow_small = m_flow_small)Pressure loss of a straight pipe at m_flow_nominal
BooleanuseMultipleHeatPortsfalse= true to use one heat port for each segment of the pipe, false to use a single heat port for the entire pipe
Dynamics › Conservation equations
Modelica.Fluid.Types.DynamicsenergyDynamics (from LumpedVolumeDeclarations)Modelica.Fluid.Types.Dynamics.DynamicFreeInitialType of energy balance: dynamic (3 initialization options) or steady state
Modelica.Fluid.Types.DynamicssubstanceDynamics (from LumpedVolumeDeclarations)energyDynamicsType of independent mass fraction balance: dynamic (3 initialization options) or steady state
Modelica.Fluid.Types.DynamicstraceDynamics (from LumpedVolumeDeclarations)energyDynamicsType of trace substance balance: dynamic (3 initialization options) or steady state
Advanced › Dynamics
Modelica.Fluid.Types.DynamicsmassDynamics (from LumpedVolumeDeclarations)energyDynamicsType of mass balance: dynamic (3 initialization options) or steady state, must be steady state if energyDynamics is steady state
Initialization
Medium.AbsolutePressurep_start (from LumpedVolumeDeclarations)Medium.p_defaultStart value of pressure
Medium.TemperatureT_start (from LumpedVolumeDeclarations)Medium.T_defaultStart value of temperature
Medium.MassFraction[Medium.nX]X_start (from LumpedVolumeDeclarations)Medium.X_defaultStart value of mass fractions m_i/m
Medium.ExtraProperty[Medium.nC]C_start (from LumpedVolumeDeclarations)fill(0, Medium.nC)Start value of trace substances
Medium.ExtraProperty[Medium.nC]C_nominal (from LumpedVolumeDeclarations)fill(1E-2, Medium.nC)Nominal value of trace substances. (Set to typical order of magnitude.)
Dynamics
RealmSenFac (from LumpedVolumeDeclarations)1Factor for scaling the sensible thermal mass of the volume
Assumptions
BooleanallowFlowReversal (from PartialTwoPort)true= false to simplify equations, assuming, but not enforcing, no flow reversal
Nominal condition
Modelica.Units.SI.MassFlowRatem_flow_nominal (from PartialTwoPortInterface)Nominal mass flow rate
Modelica.Units.SI.PressureDifferencedp_nominal (from TwoPortFlowResistanceParameters)Pressure difference
Advanced
Modelica.Units.SI.MassFlowRatem_flow_small (from PartialTwoPortInterface)1E-4*abs(m_flow_nominal)Small mass flow rate for regularization of zero flow
Advanced › Diagnostics
Booleanshow_T (from PartialTwoPortInterface)false= true, if actual temperature at port is computed
Flow resistance
BooleancomputeFlowResistance (from TwoPortFlowResistanceParameters)true=true, compute flow resistance. Set to false to assume no friction
Booleanfrom_dp (from TwoPortFlowResistanceParameters)false= true, use m_flow = f(dp) else dp = f(m_flow)
Realn (from TwoPortFlowResistanceParameters)2Flow exponent, n=1 for laminar, n=2 for turbulent
BooleanlinearizeFlowResistance (from TwoPortFlowResistanceParameters)false= true, use linear relation between m_flow and dp for any flow rate
RealdeltaM (from TwoPortFlowResistanceParameters)0.1Fraction of nominal flow rate where flow transitions to laminar
RealReC (from Pipe)4000Reynolds number where transition to turbulence starts

Connectors

TypeNameDefaultDescription
Modelica.Fluid.Interfaces.FluidPort_aport_a (from PartialTwoPort)Fluid connector a (positive design flow direction is from port_a to port_b)
Modelica.Fluid.Interfaces.FluidPort_bport_b (from PartialTwoPort)Fluid connector b (positive design flow direction is from port_a to port_b)
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_aheatPortSingle heat port that connects to outside of pipe wall (default, enabled when useMultipleHeatPorts=false)
Modelica.Fluid.Interfaces.HeatPorts_a[nSeg]heatPortsMultiple heat ports that connect to outside of pipe wall (enabled if useMultipleHeatPorts=true)

Components

TypeNameDefaultDescription
Modelica.Units.SI.MassFlowRatem_flow (from PartialTwoPortInterface)port_a.m_flowMass flow rate from port_a to port_b (m_flow > 0 is design flow direction)
Modelica.Units.SI.PressureDifferencedp (from PartialTwoPortInterface)port_a.p - port_b.pPressure difference between port_a and port_b
Medium.ThermodynamicStatesta_a (from PartialTwoPortInterface)if allowFlowReversal then Medium.setState_phX(port_a.p, noEvent(actualStream(port_a.h_outflow)), noEvent(actualStream(port_a.Xi_outflow))) else Medium.setState_phX(port_a.p, noEvent(inStream(port_a.h_outflow)), noEvent(inStream(port_a.Xi_outflow)))Medium properties in port_a
Medium.ThermodynamicStatesta_b (from PartialTwoPortInterface)if allowFlowReversal then Medium.setState_phX(port_b.p, noEvent(actualStream(port_b.h_outflow)), noEvent(actualStream(port_b.Xi_outflow))) else Medium.setState_phX(port_b.p, noEvent(port_b.h_outflow), noEvent(port_b.Xi_outflow))Medium properties in port_b
Buildings.Fluid.FixedResistances.PressureDroppreDro (from Pipe)Flow resistance
Buildings.Fluid.MixingVolumes.BaseClasses.MixingVolumeHeatPortvol (from Pipe)Volume for pipe fluid
Modelica.Thermal.HeatTransfer.Components.ThermalConductor[nSeg]conPipWalThermal conductance through pipe wall
Modelica.Thermal.HeatTransfer.Components.ThermalCollectorcolAllToOneConnector to assign multiple heat ports to one heat port

Revisions

  • January 22, 2016, by Michael Wetter:
    Corrected type declaration of pressure difference. This is for #404.
  • October 30, 2015, by Michael Wetter:
    Improved documentation for #455.
  • February 5, 2015, by Michael Wetter:
    Renamed res to preDro for #292.
  • September 13, 2013 by Michael Wetter:
    Replaced nominal with default values as they are computed using the default Medium values.
  • February 22, 2012 by Michael Wetter:
    Renamed useMultipleHeatPort to useMultipleHeatPorts and used heat port connector from Modelica.Fluid package for vector of heat ports.
  • February 15, 2012 by Michael Wetter:
    Revised implementation and added default values.
  • February 12, 2012 by Wangda Zuo:
    First implementation.