A 10-m long and 10-mm inner-diameter pipe made of commercial steel is used to heat a liquid in an industrial process. The liquid enters the pipe with Ti=25 C, V = 0.8 m/s. A uniform heat flux is maintained by an electric resistance heater wrapped around the outer surface of the pipe, so that the fluid exists at 75 C. Assuming fully developed flow and taking the average fluid properties to be ρ =1000 kg/m3, Cp = 4000 J/kg.K, μ = 2x10-3 kg/m.s, k = 0.8 W/m.K, and Pr = 10, determine:

1.The required surface heat flux qs, produced by the heater.

2. The surface temperature at the exit, Ts

3. The pressure loss through the pipe and the minimum power required to overcome the resistance to flow.