You are working on optimizing a process where you need to pump a thin product coating (assume the same properties as water) at an average temperature of 90 C and an average velocity of 3

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You are working on optimizing a process where you need to pump a thin product coating (assume the same properties as water) at an average temperature of 90 C and an average velocity of 3.5 m/s flows through a 5 m long stainless steel tube (k = 42 W/m.C) covered with a 2 cm thick insulation layer (k = 0.03 W/m.C). The inner and outer diameters of the tube at di = 1 cm and do = 1.4 cm, respectively. The inside wall temperature of the pipe is 80 C. Determine the overall heat transfer coefficient (Ui) based on the inner surface area of the tube.