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Homework #2 1. (5)A fluid is flowing with a mass flow rate in a smooth horizontal pipe of length L and diameter D as the result of a pressure difference between the inlet pressure and outlet pressure, which is 0.1bar. If the pipe is replaced by one of the diameter D/2 but the same length. The same fluid is to be pumped at the same mass flow rate ,W. (1) (2)Determine the pressure difference between the inlet and the outlet when the flow is laminar. (2) (3)Determine the pressure difference between the inlet and the outlet using the Blasius equation when the flow is turbulent. 2. (5)Consider a flow channel of length 4m(for a hydraulic simulation of flow through a PWR assembly) with no heat addition, and mass flow rate of 0.7 kg/s at 300℃ and 15.5MPa. MIT people suggest the annular fuel(shown in the righthanded side in the below figure) in which the central channel exists to cool the fuel. In the actual design process, the pressure drop in the external channel should be the same as that in the internal channel. Estimate the pressure drop throughout the internal channel of the annular flow with its roughness of 0.0045cm and the very small radius of 0.337cm where the mass flow rate is 0.122kg/s. Use the following Colebrook formula representing the Moody diagram or the Moody diagram for wall friction coefficients External cooling 4.13 4.22 4.85 mm Regular fuel Internal cooling 3.37 4.00 5.99 6.62 mm Annular fuel proposed by MIT