modelFreeConvection

Information

FreeConvection

This component links the heat flow to a temperature difference between a wall and a fluid thanks to the Newton's law of cooling. The basic constitutive equation for convection is :

Where :

  • Q_flow: Heat flow rate from connector 'wall' (e.g., a plate) to connector 'fluid' (e.g., the surrounding air).
  • add_on is a user paramater to adjust if needed the Heat flow to the temperature difference dT
  • h_cv is the convective Heat transfer coefficient (Newton's coefficient)
  • A is the contact surface area between the wall and the fluid
  • dT is the Temperature difference between the wall (port_a.T) and the fluid (port_b.T)

The Heat Transfert coefficient is calculated from correlations. The correlation is set via the parameter correlation . Multiple correlations from multiple sources and for severals geometries are available. The details of correlations is in the released theoretical note.

Available geometries:

  • Flow over a flat vertical wall: the characteristic length (Lc parameter) is the height of the wall
  • Cross flow over a horizontal cylinder: the characteristic length (Lc parameter) is external diameter of the cylinder
  • Flow over a horizontal flat wall: the characteristic length (Lc parameter) is the perimeter of the flat wall. A particular attention is required when dealing with horizontal surfaces. The correlation has to be ground_ASHRAE if the fluid is above the wall and ceiling_ASHRAE otherwise. The exchange coefficient is calculated differently depending on whether the wall is warmer or not.

Parameters

TypeNameDefaultDescription
Realadd_on1Custom add-on
Geometrical properties
SI.AreaA0Wall surface Area
SI.LengthLc1characteritic dimension for correlation
Flow properties
TAeZoSysPro.HeatTransfer.Types.FreeConvectionCorrelationcorrelationCorrelations.vertical_plate_ASHRAEFree convection Correlation
SI.CoefficientOfHeatTransferh_cv_const0constant heat transfer coefficient (optional: if correlation 'Constant' choosen)

Connectors

TypeNameDefaultDescription
HeatTransfer.Interfaces.HeatPort_aport_a
TAeZoSysPro.FluidDynamics.Interfaces.FlowPort_bport_b

Components

TypeNameDefaultDescription
SI.TemperatureDifferencedTWall- fluid Temperatures
Medium.TemperatureT_meanMean temperature between fluid and wall
SI.CoefficientOfHeatTransferh_cvHeat transfert coefficient
SI.DensitydDensity of fluid at T_mean
SI.SpecificHeatCapacitycpSpecific heat capacity of fluid at T_mean
SI.DynamicViscositymuDynamic viscosity of fluid at T_mean
SI.ThermalConductivitykThermal Conductivity of fluid at T_mean
SI.PrandtlNumberPrPrandtl Number
SI.GrashofNumberGrGrashof Number
SI.RayleighNumberRaRayleigh Number
SI.NusseltNumberNuNusselt Number
SI.HeatFlowRateQ_flowHeat flow rate from wall to fluid
SI.EnergyEEnergy passed throught the component

Contents

NameDescription
Medium