CE 403 Optional FE Review: Fluid mechanics Chris Rehmann Fluid mechanics • • • • • Flow measurement Fluid properties Fluid statics Energy, impulse, and momentum equations Pipe and other internal flow Fluid statics: USF question 7.1 Fluid statics: USF question 7.3 Hydrostatics: Çengel & Cimbala #4.1 Hydrostatics: Ç&C #5.1 Flow rate: USF question 7.4 Flow rate: Ç&C #6.2 A 4-cm diameter jet is supplied by a 7-cm diameter pipe with a flow of 160 gpm. What is the average velocity in the supply line? a. b. c. d. 0.84 m/s 1.53 m/s 2.62 m/s 8.04 m/s Cons. of mass: USF question 7.2 Conservation of mass A tank open at the top has constant inflow and outflow. If the initial depth is 3 m, when will the depth be 1 m? Take V1 = 0.5 m/s, D1 = 0.05 m, V2 = 1 m/s, D2 = 0.5 m, H = 5 m, and At = 1 m2. a. b. c. d. 132 sec 291 sec 342 sec 456 sec V1 H Area At V2 White prob. FE 3.5: Cons. of momentum A jet of water 3 cm in diameter strikes normal to a vertical plate. If the force required to hold the plate is 23 N, what is the jet velocity? a. b. c. d. 2.85 m/s 5.7 m/s 8.1 m/s 23 m/s Bernoulli: Ç&C #7.1 4.81 m/s Bernoulli: Ç&C #8.1 Flow measurement: Ç&C #14.2 I get 1864 Pa using the FE review manual. Dimensionless parameters: Ç&C #15.2 A 12-cm diameter sphere is in water of density 998 kg/m3 and dynamic viscosity of 10-3 N s/m2. The velocity is 6 m/s. What is the Reynolds number? a. b. c. d. 720 7.2 x 105 7.2 x 10-7 7.2 x 106 Dimensionless parameters: Ç&C #11.2 Dimensionless parameters: Ç&C #1.3 Dimensionless parameters: Ç&C #12.1 Similitude: Ç&C #10.1 Laminar flow: Ç&C #3.1 Incompressible & irrotational flow: Ç&C #9.1 incompressible Incompressible: u v 0 x y Drag: Ç&C #16.2 Pipe flow: Ç&C #13.1 Pipe flow: White #FE6.6 A smooth 8-cm-diameter pipe, 200 m long, connects two reservoirs, containing water at 20°C, one of which has a surface elevation of 700 m and the other with its surface elevation at 560 m. If minor losses are neglected, the expected flow rate through the pipe is a. b. c. d. e. 0.048 m3/h 2.87 m3/h 134 m3/h 172 m3/h 385 m3/h Open channel flow: Ç&C #20.2 Open channel flow: White #FE10.5 Consider an open rectangular channel 3 m wide laid on a 1° slope. If Manning’s roughness factor is 0.02 and the flow is 29 m3/s, what is the normal depth? a. b. c. d. e. 1m 1.5 m 2m 2.5 m 3m Open channel flow: White #FE10.6 Consider an open rectangular channel 3 m wide laid on a 1° slope. If Manning’s roughness factor is 0.02 and the flow is 29 m3/s, what is the critical depth? a. b. c. d. e. 1m 1.26 m 1.5 m 1.87 m 2.0 m