Using the relaxation model (or Krook collision model) for the collision term, and the ideal gas law

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Using the relaxation model (or Krook collision model) for the collision term,

and the ideal gas law Pe = nekTe, show that the heat flow equation of problem 8.10 becomes

where

is the thermal conductivity.


Data from problem 8.10.

From the heat flow equation, obtain the following simplified equation for heat flow in a stationary (u = 0) electron gas:

State all the assumptions necessary to obtain this result.

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