GATE2018-1-47

Question

A plane slab of thickness $L$ and thermal conductivity $k$ is heated heated with a fluid on one side $(P)$, and the other side $(Q)$ is maintained at a constant temperature, $T_Q$ of $25^{\circ}C$, as shown in the figure, the fluid is at $45^{\circ}C$ and the surface heat transfer coefficient, $h$, is $10 \: W/m^2K$. The steady state temperature, $T_P$ (in $^{\circ}$C) of the side which is exposed to the fluid is _____ (correct to two decimal places)

Answer 1

$Q = \Delta T / Thermal Resistance$

(45-Tp)/(1/10) = (45-25) / ((1/10)+(0.2/2.5))

Tp=33.89