Oil flows inside a thin-walled copper tube of diameter D_i = 30 mm. Steam condenses on the outside of the tube, and the tube wall temperature may be assumed to be constant at the temperature of the steam (150°C). The oil enters the tube at 30°C and a flow rate of 1.6 kg/s. The properties of the oil are as follows:

Calculate the inside heat transfer coefficient, h_i, using the appropriate correlation. You should assume that the bulk oil temperature changes from 30°C to 50°C along the tube.

Using the result from Part (a), calculate the length of tube required to heat the oil from 30°C to 50°C.

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150°C 864 0.18 1950 5 × 10³4 × 10³4 × 10-4 30°C 886 50°C Density, r (kg/m³) 882 Thermal conductivity, k (W/m/K) 0.2 0.2 Specific heat capacity, c, (J/kg/K)2000 2000 Cp Viscosity, m (kg/m/s)