WOLFRAM SYSTEM MODELER

ThermalConductor

Lumped thermal element transporting heat without storing it

Wolfram Language

In[1]:=
SystemModel["Modelica.Thermal.HeatTransfer.Components.ThermalConductor"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This is a model for transport of heat without storing it; see also: ThermalResistor. It may be used for complicated geometries where the thermal conductance G (= inverse of thermal resistance) is determined by measurements and is assumed to be constant over the range of operations. If the component consists mainly of one type of material and a regular geometry, it may be calculated, e.g., with one of the following equations:

  • Conductance for a box geometry under the assumption that heat flows along the box length:

    G = k*A/L
    k: Thermal conductivity (material constant)
    A: Area of box
    L: Length of box
        
  • Conductance for a cylindrical geometry under the assumption that heat flows from the inside to the outside radius of the cylinder:

    G = 2*pi*k*L/log(r_out/r_in)
    pi   : Modelica.Constants.pi
    k    : Thermal conductivity (material constant)
    L    : Length of cylinder
    log  : Modelica.Math.log;
    r_out: Outer radius of cylinder
    r_in : Inner radius of cylinder
        
Typical values for k at 20 degC in W/(m.K):
  aluminium   220
  concrete      1
  copper      384
  iron         74
  silver      407
  steel        45 .. 15 (V2A)
  wood         0.1 ... 0.2

Parameters (1)

G

Value:

Type: ThermalConductance (W/K)

Description: Constant thermal conductance of material

Connectors (2)

port_a

Type: HeatPort_a

Description: Thermal port for 1-dim. heat transfer (filled rectangular icon)

port_b

Type: HeatPort_b

Description: Thermal port for 1-dim. heat transfer (unfilled rectangular icon)

Used in Examples (13)

HeatingMOSInverter

Modelica.Electrical.Analog.Examples

Heating MOS Inverter

HeatingNPN_NORGate

Modelica.Electrical.Analog.Examples

Heating NPN NOR Gate

HeatingPNP_NORGate

Modelica.Electrical.Analog.Examples

Heating PNP NOR Gate

Resistor

Modelica.Electrical.Analog.Examples

Resistor with simple thermal network

HeatingRectifier

Modelica.Electrical.Analog.Examples

Heating rectifier

DCPM_Cooling

Modelica.Electrical.Machines.Examples.DCMachines

Test example: Cooling of a DCPM motor

HeatingSystem

Modelica.Fluid.Examples

Simple model of a heating system

IndirectCooling

Modelica.Thermal.FluidHeatFlow.Examples

Indirect cooling circuit

OneMass

Modelica.Thermal.FluidHeatFlow.Examples

Cooling of one hot mass

TwoMass

Modelica.Thermal.FluidHeatFlow.Examples

Cooling of two hot masses

TwoMasses

Modelica.Thermal.HeatTransfer.Examples

Simple conduction demo

ControlledTemperature

Modelica.Thermal.HeatTransfer.Examples

Control temperature of a resistor

Motor

Modelica.Thermal.HeatTransfer.Examples

Second order thermal model of a motor

Used in Components (1)

Conduction

Modelica.Thermal.HeatTransfer.Examples.Utilities

Input/output block of a conduction model