b) A 3 cm orifice plate is placed within a 4 cm pipe in which methanol at 20 °C (SC 0.7884 and dynamic viscosity (µ) = 0.5857 cP) is flowing through. If the flow rate passing through the pipe is 3.1 litres per seconds, determine the pressure difference that must be measured around the orifice plate. The discharge coefficient of the orifice can be calculated by: 91.712.5 Re0.75 Cd = 0.5959 + 0.0312B2.1 – 0.184B8 + Where, B is the ratio of orifice diameter to pipe diameter and Re is the Reynolds number.

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3. A pump steadily circulates oil used for lubricating heavy machine tools. The volume flow rate and temperature of the oil are 300 gal/min and 104°F, respectively. At 104°F, the kinematic viscosity and the specific gravity of the oil are 2.15 x 10-3 ft² /s and 0.89, respectively. The pipe lengths are 25 ft for the 4-in diameter pipe and 75 ft for the 3-in diameter one. The Schedule-40 steel pipe has an average roughness element size of 0.0018 in. If all minor losses can be ignored, evaluate how much power (in a unit of horsepower) the pump delivers to the oil. 6 ft 22 ft Flow 15 ft Discharge line 3-in Schedule 40 Suction line 4-in Schedule 40 steel pipe steel pipe Pump