modelThermalConductor

Lumped thermal element transporting heat without storing it

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