modelPolynomialFlowCoefficient

Model describing flow coefficient based on polynomial approach

Extends from BaseClasses.PartialFlowCoefficient (Partial model describing base flow coefficient).

Information

This model contains calculation procedures for flow coefficients (for more information, please check out AixLib.Fluid.Actuators.Valves.ExpansionValves.BaseClasses.PartialExpansionValve). The calculation procedures based on a polynomial approach and are presented below.

Implemented approaches

Actually, two polynomial approaches are implemented in this package. To add further calculation procedures, just add its name in AixLib.Fluid.Actuators.Valves.ExpansionValves.Utilities.Choices and expand the if-structure.

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Reference Formula Refrigerants Validity Tcondensing Validity Tevaporating Validity Tsubcooling
ShanweiEtAl2005 C = a1*A + a2*ρinlet + a3*ρoutlet + a4*Tsubcooling + a5*dclearance + a6*(pinlet- poutlet) R22, R407C, R410A 40 - 50 °C 0 - 10 °C 1.5 - 10 °C
Li2013 C = a1 + a2*opening + a3*opening^2 + a4*opening*(Tsubcooling/Tcrit) + a5*(Tsubcooling/Tcrit) + a6*(Tsubcooling/Tcrit)^2 R22, R407C, R410A 30 - 50 °C 0 - 30 °C 1.5 - 15 °C

References

M. Shanwei, Z. Chuan, C. Jiangping and C. Zhiujiu. (2005): Experimental research on refrigerant mass flow coefficient of electronic expansion valve. In: Applied Thermal Engineering 25(14), S. 2351–2366

Li, W. (2013): Simplified modeling analysis ofmass flow characteristics in electronic expansion valve. In: Applied Thermal Engineering 53(1), S. 8–12

Parameters

TypeNameDefaultDescription
Modelling approach
Types.PolynomialModelspolyModTypes.PolynomialModels.ShanweiEtAl2005Chose predefined polynomial model for flow coefficient
Real[:]aMultiplication factors for each summand
Real[:]bExponents for each summand
IntegernTsize(a, 1)Number of terms used for the calculation procedure
Further geometry data
Modelica.Units.SI.DiameterdCle0.02e-3Clearance diameter dCle = d_inner - d_needle
RealpDifRat0.84Pressure differential ratio factor depending on valve moddeld

Components

TypeNameDefaultDescription
Realopening (from PartialFlowCoefficient)Current valve's opening
Modelica.Units.SI.AreaAVal (from PartialFlowCoefficient)Cross-sectional area of the expansion valve
Modelica.Units.SI.DiameterdInlPip (from PartialFlowCoefficient)Diameter of the pipe at valve's inlet
Medium.ThermodynamicStatestaInl (from PartialFlowCoefficient)Thermodynamic state at valve's inlet conditions
Medium.ThermodynamicStatestaOut (from PartialFlowCoefficient)Thermodynamic state at valve's outlet conditions
Modelica.Units.SI.AbsolutePressurepInl (from PartialFlowCoefficient)Pressure at valves's inlet conditions
Modelica.Units.SI.AbsolutePressurepOut (from PartialFlowCoefficient)Pressure at valves's outlet conditions
RealC (from PartialFlowCoefficient)Mass flow coefficient used for expansion valves
Real[nT]PArray that contains all coefficients used for the calculation procedure
RealcorFactCorraction factor used to correct flow coefficient

Revisions

  • October 16, 2017, by Mirko Engelpracht, Christian Vering:
    First implementation (see issue 457).