| The temperature profile within a body depends
upon the rate of its internally-generated heat, its capacity to
store some of this heat, and its rate of thermal conduction to its
boundaries (where the heat is transfered to the surrounding
environment). Mathematically this is stated by the Heat Equation,
along with its boundary conditions, equations that prescribe
either the temperature T on, or the heat flux q
through, all of the body boundaries W,
In the Heat Equation, the power
generated per unit volume is expressed by
qgen. The thermal
diffusivity a is related to the thermal
conductivity k, the specific
heat c, and the density
r by,
For Steady State problems, the
Heat Equation simplifies to,
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