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Oil at 15 C is to be heated by saturated steam at 1 atm in a double-pipe heat exchanger to a temperature of 25 C. The inner and outer diameters of the annular space are 3 cm and 5 cm respectively, and oil enters with a mean velocity of 1.2 m/s. The inner tube may be assumed to be isothermal at 100 C, and the outer tube is well insulated. Assuming fully developed flow for oil, determine the tube length required to heat the oil to the indicated temperature. In reality, will you need a shorter or longer tube?

Oil at 15 C is to be heated by saturated steam at 1 atm in a double-pipe heat exchanger to a temperature of 25 C. The inner and outer diameters of the annular space are 3 cm and 5 cm respectively, and oil enters with a mean velocity of 1.2 m/s. The inner tube may be assumed to be isothermal at 100 C, and the outer tube is well insulated. Assuming fully developed flow for oil, determine the tube length required to heat the oil to the indicated temperature. In reality, will you need a shorter or longer tube?