A furnace, which can provide convective heat transfer coefficient $h$ at the temperature, $T_\infty$, is used to heat or dry various products as shown below. A steel strip of thickness, $\delta$, is annealed by passing it through a large furnace at constant velocity, $V$. The density, specific heat and thermal conductivity of the steel are $\rho$, $c$, and $k$. Apply energy conservation principle and derive a differential equation to determine the temperature chance along the x-direction. The temperature of the product at the entrance is $T_i$.
