A hot-tub water heating system consists of a heat exchanger made from a 12m long

Question

A hot-tub water heating system consists of a heat exchanger made from a 12m long smooth copper pipe. The of the copper pipe is d,- 50mm and the outside diameter is d, 70mm. Annular aluminium t from each other (total number of fins N -6000). Water flows inside the pipe at a rate of following figure fins 10mm in length (from fin base to fin tip) are attached to the pipe. The fins are 1mm thick and are spaced h-0.2kg/s, entering the heat exchanger at a mean temperature of 20°C. Hot air at 120°C flows around the outer surface of the heat exchanger at a velocity of 3 m/s. The heat exchanger is shown in the (not to scale). The properties of the various materials and fluids to be used for your calculations an follows: Air Water P. 1000 kg/m ?-1080 104 Ns/m2 Pr. 7.86 K 598 10 W/mk p 4184 J/kgk T 120 Aluminum Fins Copper Pipe Air: P, 1.1614 kg/m h" 184.6 10.7 Ns/m2 Pr, 0.707 K, 26.3 103 W/mK Copper Kcopper 401 W/mK Wate? Hot Tub Woter Heater ??-20°C Aluminum KAluminium 237 W/mK

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