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To determine the effect of the temperature dependence of the thermal conductivity on the temperature distribution...

To determine the effect of the temperature dependence of the thermal conductivity on the temperature distribution in a solid, consider a material for which this dependence may be represented by: k = k0 + a T, where “k0“ is a positive constant and “a” is a coefficient that may be positive or negative. Starting with a steady-state energy balance, derive a relationship for temperature (T) as a function of distance (x) from the lower temperature wall. You may assume that there is no heat generation within the wall.

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