California State Polytechnic University, Pomona



Problem set 31. Consider water in a container and air in a tornado flow in horizontal circular streamlines of radius r and speed V as shown in Figure 3-1. Determine the radial pressure gradient, dp/dr, needed for the following situations:(a) The fluid is water with r = 3 in and V = 0.8 ft/s. (4.97 lbf/ft3)(b) The fluid is air with r = 300 ft and V = 200 mph. (0.681 lbf/ft3)Figure 3-1 Horizontal circular streamline.2. Water flowing from the 0.75-in.-diameter outlet shown in Figure 3-2 rises 2.8 inches above the outlet. Determine the flowrate. (0.0119 ft3/s)Figure 3-2 Water flowing from an outlet3. When an airplane is flying 200 mph at 5000-ft altitude (assume the air density is 2.048 × 10-3 slug/ft3) in a standard atmosphere, the air velocity at a certain point on the wing is 273 mph relative to the airplane. (a) What suction pressure is developed on the wing at that point? ( 76 lbf/ft2)(b) What is the pressure at the leading edge (a stagnation point) of the wing? (88 lbf/ft2)4. A loon is a diving bird equally at home “flying” in the air or water. What swimming velocity under water will produce a dynamic pressure equal to that when it flies in the air at 40 mph? (1.40 mph)5. A 0.15-m-diameter pipe (a) discharges into a 0.1-m-diameter pipe (b). Determine the velocity head in each pipe if they are carrying 0.14 m3/s of kerosene. (a) 3.199 (b) 16.195 m6. A smooth plastic, 10-m-long garden hose with an inside diameter of 20 mm is used to drain a wading pool as is shown in Figure 3-6. If viscous effects are neglected, what is the flowrate from the pool? (9.11×10-4 m3/s) ((9.11Figure 3-6 Long garden hose. 7. Water flows steadily from the large open tank shown in Figure 3-7. If viscous effects are negligible, determine (a) the flow rate Q, and (b) the manometer reading h. Figure 3-7 Water flows from open tank.(a) 0.0696 m3/s(b) 0.574 m8. Water is siphoned from the tank shown in Figure 3-8. Determine the flowrate from the tank and the pressures at points (1), (2), and (3) if viscous effects are negligible.0.141 ft3/s, (1) 499 lbf/ft2, (2) 312 lbf/ft2, (3) 312 lbf/ft2Figure 3-8 Water siphoned from a tank. ................
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