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P2207_fall10_lecture35

# P2207_fall10_lecture35 - for laminar flow only • The flow...

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Lecture 35

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Today: Fluids in motion Bernoulli’s Equation Measuring air speed

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2 1 2 1

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Air flows through a tube with a constriction. Where is the pressure highest ? flow A B C A. at A B. at B C. same at both A and C D. not enough information
Bernoulli: For flow at constant height , if v , p Some Applications

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Measuring Air Speed At Hole A, air speed v A =0. At Hole B, air speed v B > 0. By Bernoulli’s equation, p A + 1/2 v A 2 = p B + 1/2 v B 2 v B = [2(p A – p B )/ ] 1/2

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Perfume atomizers Flowing air creates p that pushes fluid out of container.
Airfoils in aircrafts? Air must travel a larger distance over the top of an airfoil than over the bottom. air velocity v top > v bot , p top < p bot Lift Force F L ~ p A wing Lift Force But: Bernoulli's equation is

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Unformatted text preview: for laminar flow only!! • The flow of air is highly turbulent here! The Bernoulli principle acting on an umbrella Same principle used in sailing can go faster than wind! Wind damage to buildings v inside ~0, v outside >>0 p = p in p out >>0 building "explodes“! E.g.: v outside = 360 km/h (~220 mi/h) p = (1/2) air v out 2 ~ 6000 Pa (~ 0.06 p atm ) Upward force on 80 m 2 house roof: p A ~ 5 10 5 N ~ 50 tons! Hancock Building (Boston, 1973): Ventilation of prairie dog burrows v 1 v 2 v 1 > v 2 p 1 < p 2 What is the pressure at the top of the siphon? h p A. p B. p + gh C. p – gh D. less than p – gh E. greater than p + gh d...
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P2207_fall10_lecture35 - for laminar flow only • The flow...

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