# Question: find the analytical expression for the temperature distribution tx in...

###### Question details

Find the analytical expression for the temperature distribution T(x) in the plane wall which has uniform surface temperatures T1(x=0) and T2(x=L) and T1>T2. Thermal conductivity varies linearly with temperature, i.e. k=k0(1+bT). Consider three different cases, i. b>0, ii. b=0 iii. b<0. For each case, which one is the closest T(x) profile in the figure