Othernames: | Thermal current |
Unit: | Watt |
Dimension: | wikidata |
Derivations: | H={\DeltaQ\over\Deltat}={\DeltaT\overR} |
Symbols: | H |
A heat current or thermal current is a kinetic exchange rate between molecules, relative to the material in which the kinesis occurs. It is defined as the net rate of flow of heat. The SI unit of heat current is the Watt, which is the flow of heat across a surface at the rate of one Joule per second.
For conduction, heat current is defined by Fourier's law[1] as
\partialQ | |
\partialt |
=-k\ointS{\overrightarrow{\nabla}T ⋅ \overrightarrow{dS}}
.
\partialQ | |
\partialt |
.
\overrightarrow{dS}
.
\DeltaQ | |
\Deltat |
=-kA
\DeltaT | |
\Deltax |
A is the cross-sectional surface area,
\DeltaT
\Deltax
For thermal radiation, heat current is defined as
W=\sigma ⋅ A ⋅ T4
\sigma
A
T
Heat current can also be thought of as the total phonon distribution multiplied by the energy of one phonon, times the group velocity of the phonons. The phonon distribution of a particular phonon mode is given by the Bose-Einstein factor, which is dependent on temperature and phonon energy.