Heat Transfer - Chapter 2 - Example Problem 5 - Solving the Heat Equation with Generation

We derive the temperature profile for a plane wall at steady state with generation using the Heat Equation in Cartesian Coordinates. We use constant surface temperature boundary conditions at each side of the wall. We also plot temperature and flux as a function of x through the wall.

[@Hey-dq5ey]

Hello. Thank you for your video about heat generation. I have a question. In a steady-state, according to the thermal conductivity, temperature distribution is different in a equilibrium (unlimited time)? I am sure that in a transient state, it will be different, but in a steady-state, I am not sure about the situation by different thermal conductivity.

[@noornedal4574]

which book u using ?

[@oussamabaraket7923]

btw : i just made the same application with ma own art , and i find a small difference in the eq of temperatur
so i ll write ma final eq : T(x) = q/2k (l^2-x^2) +ts2
btw i make a condition which is : dt/dx=0 and by this condition i get my result .
so is that right or ??

[@roshan12324]

good explanation

[@muzafferimrencler5164]

THANKS