modelMartin2010

The Martin approach for plate heat exchangers from VDI Heat Atlas
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Extends from Greenhouses.Flows.FluidFlow.HeatTransfer.BaseClasses.PartialSinglePhaseCorrelation (Base class for single-phase heat transfer correlations), Greenhouses.Flows.FluidFlow.HeatTransfer.BaseClasses.PartialPlateHeatExchangerCorrelation (Base class for heat transfer correlations for plate heat exchangers).

Information

The model Martin extends the partial model PartialSinglePhasePHECorrelation and computes the heat transfer coefficient based on the correlation for plate heat exchangers developed by Holger Martin for the VDI Heat Atlas

inbook(Martin2010)
Martin, H.
VDI Heat Atlas
Stephan, P. (ed.)
Chapter N6 Pressure Drop and Heat Transfer in Plate Heat Exchangers
Springer, 2010, pp. 1515-1522

Parameters

TypeNameDefaultDescription
Modelica.Units.SI.Lengths_w0.00075Wall thickness
Modelica.Units.SI.ThermalConductivitylambda_w15Conductivity of the wall
Modelica.Units.SI.LengthL_p0.2Plate length
Modelica.Units.SI.ReynoldsNumberRe_turb2000.00Flow transition Re
Modelica.Units.SI.ReynoldsNumberRe_tran100.00Flow transition range
Realc_q0.122Empirical constant
Realq0.374Empirical constant
RealB_064.00Shape factor
RealB_1597.0Empirical pressure drop factor B_1
RealC_13.850Empirical pressure drop factor C_1
RealK_139.00Empirical pressure drop factor K_1
Realn0.289Empirical pressure drop factor n
Reala3.800Empirical pressure drop factor a
Realb0.180Empirical pressure drop factor b
Realc0.360Empirical pressure drop factor c
Geometry
Modelica.Units.SI.Lengtha_hat (from PartialPlateHeatExchangerCorrelation)0.002Corrugation amplitude
Modelica.Units.SI.Anglephi (from PartialPlateHeatExchangerCorrelation)Modelica.Units.Conversions.from_deg(45)Corrugation angle
Modelica.Units.SI.LengthLambda (from PartialPlateHeatExchangerCorrelation)0.0126Corrugation wavelength
Modelica.Units.SI.LengthB_p (from PartialPlateHeatExchangerCorrelation)0.1Plate flow width
Advanced geometry
RealX (from PartialPlateHeatExchangerCorrelation)2*Modelica.Constants.pi*a_hat/LambdaWave number
RealPhi (from PartialPlateHeatExchangerCorrelation)1/6*(1 + sqrt(1 + X^2) + 4*sqrt(1 + X^2/2))Enhancement factor
Modelica.Units.SI.Lengthd_h (from PartialPlateHeatExchangerCorrelation)4*a_hat/PhiCharacteristic length
Modelica.Units.SI.AreaA_cro (from PartialPlateHeatExchangerCorrelation)2*a_hat*B_pCross-sectional area

Components

TypeNameDefaultDescription
Modelica.Units.SI.MassFlowRatem_dot (from PartialHeatTransferCorrelation)Inlet massflow
Modelica.Units.SI.HeatFluxq_dot (from PartialHeatTransferCorrelation)Heat flow rate per area [W/m2]
Modelica.Units.SI.CoefficientOfHeatTransferU (from PartialHeatTransferCorrelation)
Medium.ThermodynamicStatestate (from PartialSinglePhaseCorrelation)Thermodynamic state
Modelica.Units.SI.CoefficientOfHeatTransferalpha (from PartialPlateHeatExchangerCorrelation)The calculated HTC
Modelica.Units.SI.ReynoldsNumberRe
Modelica.Units.SI.PrandtlNumberPr
Modelica.Units.SI.NusseltNumberNu
RealHgHagen number
RealxiFriction factor
Realxi_0
Realxi_0_lam
Realxi_0_turFriction factor, 0 deg
Realxi_1
Realxi_1_lam
Realxi_1_turFriction factor, 90 deg
ReallamTurbLaminar or turbulent flow
Modelica.Units.SI.VelocitywFluid velocity
Medium.Densityrho
Medium.TemperatureT
Medium.TemperatureT_f_w
Medium.TemperatureT_f_w_in
Medium.DynamicViscosityeta
Medium.DynamicViscosityeta_f_wViscosity of fluid at wall temperature
Medium.ThermalConductivitylambda
Medium.ThermodynamicStatestate_f_wThermodynamic state at wall
Medium.AbsolutePressuredelta_p
Modelica.Units.SI.VolumeFlowRateV_dotVolume flow
Realpart1
Realpart2