Discuss the following in detail:
Q: Engine oil is heated by flowing through a circular tube of diameter D = 50 mm and length L = 25 m and whose surface is maintained at 150°C.
(a) If the flow rate and inlet temperature of the oil are 0.5 kg/s and 20°C, what is the outlet temperature Tm,o? What is the total heat transfer rate q for the tube?
(b) For flow rates in the range 0.5 < m="">< 2.0="" kg/s,="" compute="" and="" plot="" the="" variations="" of="" tm,o="" and="" q="" with="" m.="" for="" what="" flow="" rate(s)="" are="" q="" and="" tm,o="" maximized?="" explain="" your="" results.="">