Consider the following heat flow equation, derived in problem 8.11 (in Chapter 8), for a stationary electron

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Consider the following heat flow equation, derived in problem 8.11 (in Chapter 8), for a stationary electron gas immersed in a magnetic field,

Show that this equation can be written in the form

where K denotes the dyadic thermal conductivity coefficient, given by

where


Data from Problem 8.11.

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 becomes

where

is the thermal conductivity.

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