(Solved): To prevent heat loss from a fluid-filled vessel, an electrical heater is attached outside of the wal ...

To prevent heat loss from a fluid-filled vessel, an electrical heater is attached outside of the wall, as shown in the figure below. The passage of a current through the heater material yields a constant rate of energy generation, H_V. The inside bulk temperature and heat transfer coefficient are T_i and h_i, respectively. The outside values are T_o and h_o, where T_o<T_i. Assume that the steady-state temperature is a function of x only. Calculate the heating rate that is just sufficient to eliminate any heat loss from the inside of the container.