7.3. Settings

The initial settings for C3D affect the initial temperature and thermostat identifiers and positions, if they are activated in the simulation.

7.3.1. Initial Conditions

Enter the initial temperature for the solid domain.

This temperature will be applied throughout the domain, for all the materials.

If a restart file is specified, the solution is initialized from the solution read from the file. This option can be used to restart a computation or to continue a computation with different settings.

7.3.2. Electrothermal Model

The Electro-thermal model can be used to evaluate the resulting Joule-Thomson heating effects of an electrical current carrying conductor. The electrical problem can be described by Maxwells continuity equation that calculates the electric potential in a material:

The electrical problem is described by Maxwell’s continuity equation, which determines the electric potential in a material:

where:

: Voltage potential [Volts]

: Temperature dependent electrical conductivity [S/m]

: Charge density [C/m3]

: Induced electro-motive force caused by a temperature gradient (Seebeck effect)

The heat produced electrical conduction can be described by the Joule-Thomson effect. The electric potential gradient is used to calculate the heat generated per unit volume:

where:

: Peltier Coefficient

: Current Density Vector

The Peltier coefficient can be related to Seebeck coefficient, s, by temperature:

The equation can be then recast as:

The first term on the right corresponds to Joule heating and the second term includes both Peltier effects at a junction between two different conductors, and Thomson effects, due to the thermal gradient within a conductor.

Boundary conditions in terms of voltage can be specified at the terminals of an electrical conductor:

where and are the voltage potential defined at the two ends of the conducting material. Neumann conditions for the current in the material are usually not specified but are computed from the voltage potential through a conductor carrying a current:

where is the cross-sectional area of the conductor.

7.3.3. Thermostats

Double-click the Thermostats tab to define the names and positions of the thermostats. ASCII strings can be used to define the thermostat names.

Use the Add button to create new lines. Use the Remove button to remove the last line in the group.