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SUGGESTED MINIMUM KNOWLEDGE OF FLUID MECHANICS AND HEAT TRANSFER FOR FE EXAM. F. Parsi Winona State University February 25, 2014 2 Hour Review http://www.ncees.org/exams/study_materials/fe_handbook/. Exam Composition. Morning 120 Questions 4 hours 7% Fluid Mechanics
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SUGGESTED MINIMUM KNOWLEDGE OF FLUID MECHANICS AND HEAT TRANSFER FOR FE EXAM F. Parsi Winona State University February 25, 2014 2 Hour Review http://www.ncees.org/exams/study_materials/fe_handbook/
Exam Composition • Morning • 120 Questions • 4 hours • 7% Fluid Mechanics • Afternoon (General Engineering) • 60 Questions • 15% Fluid Mechanics
Define and/or Explain • density • specific gravity • specific volume • pressure (absolute and gage) • vapor pressure • stress tensor • shear stress • shear rate • viscosity (dynamic and kinematic) • Newtonian and non-Newtonian fluids • dimensional analysis
Fluid Statics • u-tube manometer calculations • barometer calculations • hydrostatic pressure • force on submerged flat surface • point of application of the force • force on submerged curved surfaces • hydraulic ram • Archimedes's principle buoyancy
Fluid Dynamics • Reynolds number and its significance • laminar and turbulent flow • velocity distribution • conservation of mass (continuity equation) • Bernoulli equation • head loss • major head loss calculations in pipes • friction factors (Moody and Darcy) • minor head loss calculations in piping systems • pumping power calculation • hydraulic radius • drag coefficient and drag force
Fluid Measurement Devices • pitot tube • venturi meters • orifices
Example 1: Pressure What is the atmospheric pressure on the planet if the absolute pressure is 100 kPa and a gage pressure is 10 kPa? 1. 10 kPa 2. 80 kPa 3. 90 kPa 4. 100 kPa
Example 2: static Pressure What is the height of a column of tetrachloride with a specific gravity of 1.56 that supports a pressure of 1 lbf/in2? • 0.01 ft • 0.12 ft • 1.48 ft • 1.56 ft • 2.31 ft
Example 3: Viscosity Kinematic viscosity cabn be expressed in which of the following units? 1. m2/s 2. s2/m 3. kg.s2/m 4. kg/s
Example 4: Hydrostatic Pressure A pressure of 35 kPa is measured 4 m below the surface of an unknown liquid. What is the specific gravity of the liquid? • 0.09 • 0.89 • 0.93 • 1.85
Example 5: u-tube manometer The specific gravity of mercury is 13.6, and the specific gravity of glycerine is 1.26. For the manometer shown, calculate the difference in pressure between points A and B. • 35 kPa • 42 kPa • 55 kPa • 110 kPa
Example 6: U-Tube Manometer The fluid in a manometer tube is 60% water and 40% alcohol (specific gravity = 0.8). What is the manometer fluid height difference if a 6.2 lbf/in2 pressure difference is applied across the two ends of manometer? • 0.92 in • 15.5 in • 186 in • 215 in • 361 in
Example 7: Fluid Statics What is the resultant force on the inclined wall? • 222 kN • 395 kN • 503 kN • 526 kN
Example 8: Fluid Statics What is the vertical force on the inclined wall? • 197 kN • 392 kN • 486 kN • 544 kN
Example 9: Hydrostatic Force A tank is filled with water to a depth of 10 ft. What is the total force on the gate? • 560 lbf • 5400 lbf • 5620 lbf • 6000 lbf • 6240 lbf
Example 10: Buoyancy A crown is made of an alloy of gold and silver. The crown weighs 1000 g in air and 940 g in water. What percentage of gold was it? Density of gold and silver are respectively 19.3 g/cm3 and 10.5 g/cm3. • 53.1% • 67.4% • 81.2 % • 91.3%
Example 11: Buoyancy A 24-in-long rod floats vertically in water. It has a 1-in2 cross section and a specific gravity of 0.6. What length L, is submerged? • 2.4 in • 9.6 in • 14.4 in • 18.0 in • 18.7 in
Example 12: Fluid Dynamics Consider water flowing through a converging channel as shown and discharging freely into the atmosphere at the exit. What is the gage pressure at the inlet? Assume the flow to be incompressible and frictionless. • 102 kPa • 106 kPa • 113 kPa • 127 kPa
Example 13: Dimensionless Numbers A 500-ft-long surface vessel is modeled at 1:50. What speed must the model travel if a 25 mph similarity is desired? • 3.54 ft/sec • 5.0 ft/sec • 5.2 ft/sec • 7.07 ft/sec • 7.3 ft/sec
Example 14: Hydraulic radius The hydraulic radius is • The mean radius of the pipe • The radius of the pipe bend on the line • The wetted perimeter of a conduit divided by the area of the flow • The cross-sectional fluid area divided by wetted perimeter
Example 15: Hydraulic radius What is the hydraulic radius of the shown open channel? • b/4 • b/3 • b/2 • 2b/3
Example 16: Pipe flow A steel pipe with an inside diameter of 25 mm is 20 m long and carries water at a rate of 4.5 m3/h. Assuming the specific roughness of the pipe is 0.00005 m, the water has an absolute viscosity of 1.00 x 10-3 m2/s and a density of 1000 kg/m3, what is the friction factor? • 0.023 • 0.024 • 0.026 • 0.028
Example 17: Head Loss What is the expected head loss per mile of closed circular pipe (17-in inside diameter, friction factor of 0.03) when 3300 gal/min of water flow under pressure? • 0.007 ft • 0.64 ft • 38 ft • 3580 ft • 1.9x107 ft
Example 18: Pipe Flow The transition between laminar and turbulent flow in a pipe usually occurs at a Reynolds number of approximately • 900 • 1200 • 1500 • 2100 • 3900
Example 19: Pumping Power A pump requires 75 kW to move water with a specific gravity of 1.0 at a certain flow rate to a given elevation. What power does the pump require if the flow rate and elevation conditions are the same, but the fluid pumped has a specific gravity of 0.8? • 45 kW • 60 kW • 75 kW • 90 kW
Basic Heat Transfer • Conduction • Convection • radiation