modelTable_m_flow

Mass flow(y-axis) vs Pressure(x-axis) cubic spline fit model based from table data, with last two points linearly interpolated

Extends from IBPSA.Airflow.Multizone.BaseClasses.PartialOneWayFlowElement (Partial model for flow resistance with one-way flow).

Information

This model describes the one-directional pressure driven air flow through an opening based on user-provided tabular data describing the relation between mass flow rate and pressure difference over the component.

ṁ = f(Δp),

where ṁ is the volume flow rate and Δp is the pressure difference.

Based on the table input, a cubic hermite spline is constructed between all points except for the two last pairs of points. These point are connected linearly.

The constructed curve is the direct relation between ṁ and Δp.

A similar model is also used in the CONTAM software (Dols and Walton, 2015).

References

  • W. S. Dols and B. J. Polidoro,2015. CONTAM User Guide and Program Documentation Version 3.2, National Institute of Standards and Technology, NIST TN 1887, Sep. 2015. doi: 10.6028/NIST.TN.1887.

Parameters

TypeNameDefaultDescription
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
Advanced
Modelica.Units.SI.MassFlowRatem_flow_small (from PartialTwoPortInterface)1E-4*abs(m_flow_nominal)Small mass flow rate for regularization of zero flow
BooleanforceErrorControlOnFlow (from ErrorControl)trueFlag to force error control on m_flow. Set to true if interested in flow rate
BooleanhomotopyInitialization (from PartialOneWayFlowElement)true= true, use homotopy method
BooleanuseDefaultProperties (from PartialOneWayFlowElement)trueSet to false to use density and viscosity based on actual medium state, rather than using default values
Modelica.Units.SI.PressureDifferencedp_turbulent (from PartialOneWayFlowElement)0.1Pressure difference where laminar and turbulent flow relation coincide. Recommended = 0.1
Advanced › Diagnostics
Booleanshow_T (from PartialTwoPortInterface)false= true, if actual temperature at port is computed
Test data
Modelica.Units.SI.PressureDifference[:]dpMea_nominalPressure difference of test points
Modelica.Units.SI.MassFlowRate[:]mMea_flow_nominalMass flow rate of test points

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)

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
Modelica.Units.SI.VolumeFlowRateV_flow (from PartialOneWayFlowElement)m_flow/rhoVolume flow rate through the component
Modelica.Units.SI.Densityrho (from PartialOneWayFlowElement)Fluid density at port_a

Revisions

  • February 2, 2022, by Michael Wetter:
    Revised implementation.
    This is for IBPSA, #1436.
  • Apr 6, 2021, 2020, by Klaas De Jonge:
    First implementation.