Thermo-Electric toolbox

1. Notations

In the thermo-electric model, we have 4 parameters

  • σ the electrical conductivity

  • k the thermal conductivity

  • Tc the water cooling temperature

  • h the heat transfer coefficient

These parameters can be scalars of fields.

We gather in the following table parameter ranges, nominal values as well as units for σ,k,Tc,h.

Table 1. Table of parameters for the simulation

Parameters

Ranges

Nominal value

Units

σ

[52.106;58.106]

53106

Sm1

k

[360;380]

370

Wm1K1$

Tc

[293;310]

300

K

h

[70000;90000]

850000

Wm2K1

In the linear case, we first solve for V and then for T using V to compute the Joule effect that generates heat inside Ω.

2. Running the Thermo-electric application

Using Docker, you can run Feel++ model application and in particular the thermo-electric model using the following command

Docker command
$ docker run -it -v $HOME/feel:/feel feelpp/feelpp-toolboxes:latest
shell

Then type the following command in docker environment to run the model

Running Thermo-Electric model
$ cd Testcases/models/thermoelectric/test
$ mpirun -np 4 /usr/local/bin/feelpp_toolbox_thermoelectric_3d --config-file model.cfg
shell