.ScalableTestSuite.Thermal.HeatConduction.Models.OneDHeatTransferTI_Modelica

one end at a fixed temperature, one end is insulated; implemented by MSL

Information

A HeatConductionTI model with N=4 nodes is shown above, in the same manner a larger model can be created. In the model, at each heat capacitor, a capacitance is defined which varies according to the mass. Moreover, between each heat capacitor a thermal conductor is placed which transports the heat without storing it.

For the each thermal conductor element, the conductance for a box geometry under the assumption that the heat flows along the box length is calculated as follows: G = lambda * A / (L / (N - 1)). Heat capacity of the heat capacitors is calculated as follows: C = cp * m / (N - 1)

The parameters for HeatConductionTI_Modelica are:

Parameters	Comment
L	length of the rod
N	number of nodes
cp	material specific heat capacity
rho	material density
m	mass of the rod
v	volume of the rod
lambda	material thermal conductivity
A	cross section area of the rod
T0	Initial temperature
TN	temperature at the last node

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