modelThermalConductor

Lumped thermal element transporting heat without storing it
Diagram of ThermalConductor

Extends from Interfaces.Element1D (Partial heat transfer element with two HeatPort connectors that does not store energy).

Information

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

TypeNameDefaultDescription
SI.ThermalConductanceGConstant thermal conductance of material

Connectors

TypeNameDefaultDescription
HeatPort_aport_a (from Element1D)
HeatPort_bport_b (from Element1D)

Components

TypeNameDefaultDescription
SI.HeatFlowRateQ_flow (from Element1D)Heat flow rate from port_a -> port_b
SI.TemperatureDifferencedT (from Element1D)port_a.T - port_b.T