Buildings.Fluid.FixedResistances.BaseClasses

Information

This package contains base classes that are used to construct the models in Buildings.Fluid.FixedResistances.

Package Content

Name	Description
Pipe	Model of a pipe with finite volume discretization along the flow path

Buildings.Fluid.FixedResistances.BaseClasses.Pipe

Information

Model of a pipe with flow resistance and optional heat storage. This model can be used for modeling the heat exchange between the pipe and environment. The model consists of a flow resistance Buildings.Fluid.FixedResistances.FixedResistanceDpM and nSeg mixing volumes Buildings.Fluid.MixingVolumes.MixingVolume.

Parameters

Type	Name	Default	Description
replaceable package Medium		PartialMedium	Medium in the component
Integer	nSeg	10	Number of volume segments
Length	thicknessIns		Thickness of insulation [m]
ThermalConductivity	lambdaIns		Heat conductivity of insulation [W/(m.K)]
Length	diameter		Pipe diameter (without insulation) [m]
Length	length		Length of the pipe [m]
Nominal condition
MassFlowRate	m_flow_nominal		Nominal mass flow rate [kg/s]
Pressure	dp_nominal		Pressure [Pa]
Initialization
MassFlowRate	m_flow.start	0	Mass flow rate from port_a to port_b (m_flow > 0 is design flow direction) [kg/s]
Pressure	dp.start	0	Pressure difference between port_a and port_b [Pa]
Dynamics
Equations
Dynamics	energyDynamics	Modelica.Fluid.Types.Dynamic...	Formulation of energy balance
Dynamics	massDynamics	energyDynamics	Formulation of mass balance
Initialization
AbsolutePressure	p_start	Medium.p_default	Start value of pressure [Pa]
Temperature	T_start	Medium.T_default	Start value of temperature [K]
MassFraction	X_start[Medium.nX]	Medium.X_default	Start value of mass fractions m_i/m [kg/kg]
ExtraProperty	C_start[Medium.nC]	fill(0, Medium.nC)	Start value of trace substances
ExtraProperty	C_nominal[Medium.nC]	fill(1E-2, Medium.nC)	Nominal value of trace substances. (Set to typical order of magnitude.)
Assumptions
Boolean	allowFlowReversal	system.allowFlowReversal	= true to allow flow reversal, false restricts to design direction (port_a -> port_b)
Advanced
MassFlowRate	m_flow_small	1E-4*abs(m_flow_nominal)	Small mass flow rate for regularization of zero flow [kg/s]
Boolean	homotopyInitialization	true	= true, use homotopy method
Diagnostics
Boolean	show_T	true	= true, if actual temperature at port is computed
Flow resistance
Boolean	computeFlowResistance	(abs(dp_nominal) > Modelica....	=true, compute flow resistance. Set to false to assume no friction
Boolean	from_dp	false	= true, use m_flow = f(dp) else dp = f(m_flow)
Boolean	linearizeFlowResistance	false	= true, use linear relation between m_flow and dp for any flow rate
Real	deltaM	0.1	Fraction of nominal flow rate where flow transitions to laminar
Real	ReC	4000	Reynolds number where transition to turbulent starts

Connectors

Type	Name	Description
FluidPort_a	port_a	Fluid connector a (positive design flow direction is from port_a to port_b)
FluidPort_b	port_b	Fluid connector b (positive design flow direction is from port_a to port_b)

Modelica definition

model Pipe 
  "Model of a pipe with finite volume discretization along the flow path"
  extends Buildings.Fluid.Interfaces.LumpedVolumeDeclarations;
  extends Buildings.Fluid.Interfaces.PartialTwoPortInterface(
  showDesignFlowDirection = false,
  final show_T=true);
  extends Buildings.Fluid.Interfaces.TwoPortFlowResistanceParameters(
    final computeFlowResistance=(abs(dp_nominal) > Modelica.Constants.eps));

  parameter Integer nSeg(min=2) = 10 "Number of volume segments";
  parameter Modelica.SIunits.Length thicknessIns "Thickness of insulation";
  parameter Modelica.SIunits.ThermalConductivity lambdaIns 
    "Heat conductivity of insulation";
  parameter Modelica.SIunits.Length diameter 
    "Pipe diameter (without insulation)";

  parameter Modelica.SIunits.Length length "Length of the pipe";
  parameter Real ReC=4000 
    "Reynolds number where transition to turbulent starts";

  Buildings.Fluid.FixedResistances.FixedResistanceDpM res(
    redeclare final package Medium = Medium,
    final from_dp=from_dp,
    use_dh=true,
    dh=diameter,
    final show_T=show_T,
    final m_flow_nominal=m_flow_nominal,
    final dp_nominal=dp_nominal,
    final allowFlowReversal=allowFlowReversal,
    final linearized=linearizeFlowResistance,
    final ReC=ReC,
    final homotopyInitialization=homotopyInitialization) "Flow resistance";
  Buildings.Fluid.MixingVolumes.MixingVolume[nSeg] vol(
    redeclare each final package Medium = Medium,
    each energyDynamics=energyDynamics,
    each massDynamics=massDynamics,
    each final V=VPipe/nSeg,
    each nPorts=2,
    each final m_flow_nominal=m_flow_nominal,
    each prescribedHeatFlowRate=true,
    each p_start=p_start,
    each T_start=T_start,
    each X_start=X_start,
    each C_start=C_start,
    each C_nominal=C_nominal,
    each final m_flow_small=m_flow_small,
    each final homotopyInitialization=homotopyInitialization,
    each final allowFlowReversal=allowFlowReversal) "Volume for pipe fluid";

protected 
  parameter Modelica.SIunits.Volume VPipe=Modelica.Constants.pi*(diameter/2.0)^
      2*length "Pipe volume";
  parameter Medium.ThermodynamicState state_default = Medium.setState_pTX(
      T=Medium.T_default,
      p=Medium.p_default,
      X=Medium.X_default[1:Medium.nXi]) "Default state";
  parameter Modelica.SIunits.Density rho_default = Medium.density(state_default);
  parameter Modelica.SIunits.DynamicViscosity mu_default = Medium.dynamicViscosity(state_default) 
    "Dynamic viscosity at nominal condition";
equation 
  connect(port_a, res.port_a);
  connect(res.port_b, vol[1].ports[1]);
  for i in 1:(nSeg - 1) loop
    connect(vol[i].ports[2], vol[i + 1].ports[1]);
  end for;
  connect(vol[nSeg].ports[2], port_b);
end Pipe;