.BuildingSystems.HAM.HeatConduction.HeatConduction1D

Information

This is a model which describes the one-dimensional heat conduction in x-direction within a cuboid shaped body width the edge length dx, dy and dz

c ρ dx dy dz dT ⁄ dt = Q̇_x1 + Q̇_x2 + Q̇_heatsource,

with the heat flow rates to the borders x1 and x2

Q̇_x1/x2; = k_x (T_x1/x2 - T).

Here k_x is the thermal conductance in the x dimension

k_x = 2 λ ⁄ dx dy dz.

c the specific heat capacity, ρ the density, λ the heat conductivity, Q̇_heatsource an optional heat source within the body. T_x1/x2 are the temperatures on the borders x1/x2 with the area dy dz.

Notes

For problems with 3 dimensional heat conduction, the extended model BuildingSystems.HAM.HeatConduction.HeatConduction3D can be used and combined with other models from the BuildingSystems library.

Revisions

• April 24, 2019 by Christoph Nytsch-Geusen:
  Adaptation to flexible geometries.
• May 23, 2016 by Christoph Nytsch-Geusen:
  First implementation.