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One Minute Paper. Statics; reply. Fluid dynamics. Fluids in motion Pumps Fans Compressors Turbines Heat exchangers. Conservation. Energy & mass; neither created nor destroyed in ordinary process Control volume Steady state: no accumulation nor depletion. Flowing fluid. Steady flow
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One Minute Paper Statics; reply
Fluid dynamics • Fluids in motion • Pumps • Fans • Compressors • Turbines • Heat exchangers
Conservation • Energy & mass; neither created nor destroyed in ordinary process • Control volume • Steady state: no accumulation nor depletion
Flowing fluid • Steady flow • Uniform flow • Mass flow rate: Kg/ time, lbm/time • Volume flow rate: m3/time, ft3/time, cfm, gpm
Continuity Mass flow rate Volume flow rate
Nozzle • (ρVA)1= (ρVA)2
Energy balance • Kinetic • Potential • Flow • Energy – changes in properties
Bernoulli Equation • Energy per weight of flowing fluid • Head • Pressure • Velocity • Elevation
Bernoulli Equation • Assumptions • Steady state • Incompressible fluid • No friction in fluid stream
Bernoulli Equation • Useful because: • Process flow reasonable steady • Compressibility effects small • Friction effects minor
Example • Water flowing from hose attached to a main at 400kPa. Boy covers most of hose outlet with thumb, producing a vertical, thin jet of high speed water. What is maximum height of jet?
Example • A large tank open to the atmosphere is filled with water. A tap near the bottom of the tank is opened to allow flow from a smooth, rounded opening. Find the outlet velocity.
Example • During a trip, motorist runs out of fuel. A helpful driver allows you to siphon fuel from her auto. (2) is located 0.75m below (1); (3) is 2m above (1). Siphon diameter is 4mm. Find the minimum time to transfer 4 L of fuel & the pressure at (3). Fuel density is 750 kg/m3.
Homework • Water flows through a 2-inch diameter pipe at 200 lbm/min. Its temperature is 60oF. Find the velocity of water flow.
Homework • Water from a pipe line is diverted into weigh tank for exactly 9 minutes. Tank weight increases 4765 lbf. Water temperature is 60oF.
Homework • Steady flow of gas through a pipe whose diameter decreases from 1.0 meter to 60cm. The gas density decreases from 2 kg/m3 to 1.6 kg/m3. The entering velocity is 25 m/s. What is exit velocity?
Test 1 • Tuesday 1/31 & Wednesday 2/1 for Sections 002 & 003 respectively • Statics: chapters 4 & 5 • Formula sheets okay; texts for tables & graphs • Early start
References • Images & examples • Mechanics of Fluids, 3rd Edition, Potter & Wiggert, Brooks & Cole • Applied Fluid Mechanics, 6th Edition, Mott, Prentice Hall • Engineering Fluid Mechanics, 5th Edition Crowe, & Roberson, Wiley • Which of the examples were helpful? • Why?