You are working on pumping a product through a $6$ m pipe that has an inner diameter of $36$ mm$,$ a wall thickness of $5$ mm$,$ and thermal conductivity of $55$ W$/$m$$C$.$ Your product is a food material that is moving in a fully developed flow with a constant pipe surface temperature. The food has a density of $1234$ kg$/$m$3,$ viscosity of $18$ Pa$$s$,$ thermal conductivity of $0\mathrm{.}65$ W$/$m$$C$,$ it is moving at an average velocity of $12$ m$/$s and an average temperature of $80$C$.$ You have already determined that the convective heat transfer coefficient outside of the pipe surface is $7\mathrm{.}3$ W$/$m$2$C in a room that is $30$C$.$ Determine the overall heat transfer coefficient based on the outside area of the pipe. Then, determine the total energy cost for the heat lost to the air over a one$-$ year period, assuming $365-$day operation, $24$ hours$/$day$,$ assuming that the energy cost is $$0\mathrm{.}48/$kWh