A hydrodynamically and thermally fully-developed fluid of 1 kg/s flows in a uniformly heated pipe (diameter 0.1 m, length 40 m).
A constant heat flux of 15000 W/m$^2$ is applied.
The fluid enters at 200$^\circ$C.
Given: Re = 85000, Pr = 5, $k = 0.08$ W/m·K, $c_p = 2600$ J/kg·K.
Correlation:
\[
\text{Nu} = 0.023\, \text{Re}^{0.8} \text{Pr}^{0.4}
\]
Find the pipe surface temperature at the exit (nearest integer).