BuildSysPro.BaseClasses.HeatTransfer.Components.ControlledThermalConductor

# .BuildSysPro.BaseClasses.HeatTransfer.Components.ControlledThermalConductor

Lumped thermal element transporting heat without storing it - with controlled conductance

## Information

Hypothesis and equations

This is a model for transport of heat without storing it. 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

Bibliography

none

Instructions for use

none

Known limits / Use precautions

none

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Licensed by EDF under a 3-clause BSD-license
Copyright © EDF 2009 - 2023
BuildSysPro version 3.6.0
Author : EDF
Initial model : ThermalConductor, Anton Haumer, Copyright © Modelica Association, Michael Tiller and DLR.
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