modelFreeConvectionHeatTransfer_Gas_horizontalDisc

heat transfer due to natural convection for a horizontal disc
Diagram of FreeConvectionHeatTransfer_Gas_horizontalDisc

Extends from FreeConvectionHeatTransfer_Gas (Heat Transfer due to natural Convection).

Information

1. Purpose of model

This model contains the equation for calculating the nusselt number of a horizontal disc. It extends from FreeConvectionHeatTransfer_Gas.

2. Level of detail, physical effects considered, and physical insight

(Description)

3. Limits of validity

(Description)

4. Interfaces

(none)

5. Nomenclature

(no elements)

6. Governing Equations

(no equations)

7. Remarks for Usage

(none)

8. Validation

(no validation or testing necessary)

9. References

(none)

10. Version History

Model created by Philipp Jahneke (philipp.koziol@tuhh.de), August 2018

Parameters

TypeNameDefaultDescription
TILMedia.GasTypes.BaseGasmedium (from FreeConvectionHeatTransfer_Gas)
BooleanuseMassFractionDefault (from FreeConvectionHeatTransfer_Gas)false
Modelica.Units.SI.Pressurep (from FreeConvectionHeatTransfer_Gas)101300pressure of fluid
Modelica.Units.SI.AreaA (from FreeConvectionHeatTransfer_Gas)Area through which heat is transported by Convection
Modelica.Units.SI.LengthL (from FreeConvectionHeatTransfer_Gas)specific lenght of geometry
Modelica.Units.SI.Diameterd
Booleantopsidetruetrue if heat transfer happens on the upper side and upward flow is not obstructed

Connectors

TypeNameDefaultDescription
ClaRa.Basics.Interfaces.HeatPort_aheat_solid (from FreeConvectionHeatTransfer_Gas)
ClaRa.Basics.Interfaces.HeatPort_bheat_fluid (from FreeConvectionHeatTransfer_Gas)

Components

TypeNameDefaultDescription
Modelica.Units.SI.ThermalConductivitylamda (from FreeConvectionHeatTransfer_Gas)gas.transp.lambdaThermal conductivity of fluid at T_m
Modelica.Units.SI.Densityrho (from FreeConvectionHeatTransfer_Gas)gas.dDensity of fluid at T_m
Modelica.Units.SI.PrandtlNumberPr (from FreeConvectionHeatTransfer_Gas)gas.transp.PrPrandtl number of the fluid
Modelica.Units.SI.KinematicViscositynue (from FreeConvectionHeatTransfer_Gas)gas.transp.eta/gas.d
Modelica.Units.SI.DynamicViscosityeta (from FreeConvectionHeatTransfer_Gas)gas.transp.eta
Modelica.Units.SI.LinearExpansionCoefficientbeta (from FreeConvectionHeatTransfer_Gas)gas.betaIsobaric thermal expansion coefficient at given conditions
Modelica.Units.SI.CoefficientOfHeatTransferalpha (from FreeConvectionHeatTransfer_Gas)Nu*gas.transp.lambda/Lheat transfer coefficient of convection
Modelica.Units.SI.SpecificHeatCapacityAtConstantPressurecp (from FreeConvectionHeatTransfer_Gas)gas.cpspecific heat capacity of fluid at given conditions
Modelica.Units.SI.RayleighNumberRa (from FreeConvectionHeatTransfer_Gas)RayleighNumber(l = L, beta = beta, dT = dT, Pr = gas.transp.Pr, nue = gas.transp.eta/gas.d)
Modelica.Units.SI.NusseltNumberNu (from FreeConvectionHeatTransfer_Gas)Nusselt Number
Modelica.Units.SI.MassFraction[medium.nc - 1]xi (from FreeConvectionHeatTransfer_Gas)gas.gasType.xi_defaultMass Fraction
Modelica.Units.SI.HeatFlowRateQ_flow (from FreeConvectionHeatTransfer_Gas)Heat flow rate from solid -> fluid
Modelica.Units.SI.TemperatureDifferencedT (from FreeConvectionHeatTransfer_Gas)= solid.T - fluid.T
Modelica.Units.SI.TemperatureT_m (from FreeConvectionHeatTransfer_Gas)(heat_solid.T + heat_fluid.T)/2
TILMedia.Gas_pTgas (from FreeConvectionHeatTransfer_Gas)
BooleanwarmSurfaceif dT > 0 then true else falseis true if surface is warmer then fluid