modelThermalConductor

Lumped thermal element transporting heat without storing it

Extends from Modelica.Thermal.HeatTransfer.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

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
Modelica.Units.SI.ThermalConductanceG1Constant thermal conductance of material