057:20 TEST # 2 Fall 2004 1. A circular duct of diameter D is connected to a square duct with sides of length D, as shown. Air flows in the circular duct at100 secft. There is no elevation difference between the circular and the square section. Assume the flow is steady, inviscid, irrotational and incompressible. The specific weight of air is30.075lbf ft. Find the pressure change between the circular and square section. 2. For this wye fitting, which lies in a horizontal plane, the cross-sectional areas at sections 1, 2, and 3 are21ft,21ft, and 20.25ft, respectively. At these same respective sections the pressures are1000psfg,900psfg, and0psfg, and the water discharges are 20cfs to the right, 12cfs to the right, and8cfs. What xcomponent of force would have to be applied to the wye to hold it in place?057:20 TEST # 2 Fall 2004 3. Water is flowing at a rate of30.25ms, and it is that 222LhVg= from the reservoir to the gage, where V is the velocity in the 30-cm pipe. What power must the pump supply? 4. A drying tower at an industrial site is 10m in diameter. The air inside the tower has a kinematic viscosity of 52410 ms−× and enters at10ms. A 110 scale model of this tower is fabricated to operate with water that has a kinematic viscosity of6210 ms−. What should the entry velocity of the water be to achieve Reynolds-number
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