Question

Problem 6. An iron rod has a length of 3.4 meters, and its sectional area is 2 x 10^-4 m. Heat enters through the left end of the rod and exits through the right end. The iron has a thermal conductivity of 73 W/m ° C. If the heat flux through the dipstick is 1500 W, determine the difference in temperatures at the two ends.

Answer 1

The equation of heat conduction and the heat flux for 1-D straight material is given by
  
And if the length of the rod is L, then, we get

Rearranging the above terms, we get

Now, putting the given values,

we get the differenc ein temperature between the two ends as
  
  
As the heat flows from the left to the right, so, the left end has higher temperature and the right end has lower temperature.