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A heat current is a kinetic exchange rate between molecules, relative to the material in which the kinesis occurs. It is defined as d Q d t {\displaystyle {\frac {dQ}{dt}}} , where Q {\displaystyle Q} is heat and t {\displaystyle t} is time.
For conduction, heat current is defined by Fourier's law as
where
The above differential equation, when integrated for a homogeneous material of 1-D geometry between two endpoints at constant temperature, gives the heat flow rate as:
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