In 1-dimensional conduction with steady conditions, constant thermal conductivit
ID: 1719169 • Letter: I
Question
In 1-dimensional conduction with steady conditions, constant thermal conductivity k, no internal energy addition/removal by means other than conduction, the temperature gradient is always linear. If a non-linear gradient is observed in one dimensional conduction situation either conditions are unsteady, k varies with location, or energy is being added/removed by other means. The inside of a plane wall shows the temperature profile on the figure at right. If the non-linearity is due to unsteadiness, which parts of the wall are increasing in energy? Which parts are decreasing in energy? If the non-linearity is due to k varying with location, in which parts of the wall is k higher? In which parts is it lower? If the non-linearity is due to energy addition/removal by other means, to which parts of the wall is energy being added? Form which parts is it being removed?Explanation / Answer
a) parts increasing in energy is part b
and parts decreasing in energy are parts a,c,d,e
b)Decreasing order of conductivity is Kc>Kb>Ka=Ke>Kd
C)Energy is being added to part b and d and removed from a,c,and e