modelTestWaterFlow1DFEM_K

Test case for Flow1DFEM
Diagram of TestWaterFlow1DFEM_K

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

The model is designed to test the coupling between the mass and energy balance equations in the component Flow1DFEM (fluid side of a heat exchanger, finite element method).

The pipe is connected to two pressure source at the same pressure, with initial conditions corresponding to superheated steam @ 30 bar, 700 K.

At time t = 0, a constant uniform heat flux is applied to the lateral boundary of the pipe. The steam heats up and expands uniformly; since the configuration is symmetric, there is a backflow in the left half of the pipe and a forward flow on the right half of the pipe. The parameter wout is an analytical estimate of the flow rate going out each end of the pipe, which is in a good agreement with the actual solution.

Parameters

TypeNameDefaultDescription
IntegerNnodes11
SI.LengthLhex10
SI.DiameterDihex0.02
SI.RadiusrhexDihex/2
SI.LengthomegahexModelica.Constants.pi*Dihex
SI.AreaAhexModelica.Constants.pi*rhex^2
SI.PerUnitCfhex0.05
SI.MassFlowRatewhex0.3
SI.Pressurephex30e5
SI.TemperatureThex700
SI.SpecificEnthalpyhhexMedium.specificEnthalpy_pT(phex, Thex)
SI.DensityrhohexMedium.density_pT(phex, Thex)
SI.SpecificHeatCapacitycpMedium.specificHeatCapacityCp(Medium.setState_pT(phex, Thex))
SI.EnergyFlowRateW100
Realdrho_dTrhohex/Thex
SI.MassMrhohex*Ahex*Lhex
RealdT_dtW/(cp*M)
SI.MassFlowRatedM_dTAhex*Lhex*drho_dT*dT_dt
SI.MassFlowRatewout0.5*dM_dT

Components

TypeNameDefaultDescription
ThermoPower.Water.SinkPressuresink1
Water.Flow1DFEMpipe1
Systemsystem
Water.SourcePressuresource1
Thermal.HeatSource1DFEMheatSource1D
Modelica.Blocks.Sources.Stepstep

Contents

NameDescription
Medium

Revisions