Electrical Thermal Mechanical: Joule Heat Fraction

Joule Heat Fraction

Joule's law describes the rate of electrical energy, $P_{e c}$ , dissipated by current flowing through a conductor as

P_{e c} = J \cdot E = \frac{\partial φ}{\partial x} \cdot σ^{E} \cdot \frac{\partial φ}{\partial x}

where

J

is the electrical current density,

E = - \frac{\partial φ}{\partial x}

is the electrical field intensity,

σ^{E}

is the electrical conductivity matrix, and

φ

is the electric potential.

The amount of this energy released as internal heat within the body is $η_{v} P_{e c}$ , where $η_{v}$ is an energy conversion factor. You specify $η_{v}$ in the material definition. It is assumed that all the electrical energy is converted into heat ( $η_{v} = 1$ ) if you do not include the joule heat fraction in the material description.


Input Data	Description
Joule Heat Fraction	Fraction of electrical energy released as heat, $η_{v}$ .