PHYS 1080 Chapter 14: Study Guide 14_ Fluid Dynamics

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1211 streamlines fluidmoves alongsmoothlineswheninvolvedinbiologicalsystems thistypeofflowis calledstreamlinehowgaminarhow itcanbecontinuousandconstant a b a. Thus if n tubeseachhavinganaverageflowspeedvi joinanddivideinto nztubeseachhavingaverageva the equationofcontinuitywouldbemodifiedto. And achangeinkineticenergy ok sincetheaveragehowspeedisgreaterin 2than 1 therewillbeatotalchangeofmechanicalenergyof oe out ok or de cmg. gs mgy tczmu22 imrie. Overthetimeinterval t theliquidregion1 ispushedtowardadistance l byaforceofmagnitudeforpetewherepiis thepressureexertedbythefluidbehind theworkwn donebythisforceisp ail p v wherem isthevolumeflowingpastapointinregion1intimet. Wn d e by1ns or is it l n where n nevolumetr gp si apointinregioninternet thenetworkdoneisequaltothechangeinmechanicalenergyde i bernoulli"sequation pt ipv2 pgy constant. Bneieqn p iput pgy pz ipv pgy sincethetubeishorizontalye ya. Continuityean air am a trz o. org q yfoozomepy i n 2. 25 substitutingin 1 then v 5. 9 sinceq it v then q a 0 72x5af 4. 2103mf. Example122 bywhatpercentagewouldthepressuredropinanarteryastheblooddensity1. 05103kg1ms enters aregionwhichhas beennarroweddownbyanatheroscleroticplaguetoacrosssectionalareaonly45ofnormal assumethatthe narrowingoccurswithinaveryshortdistanceandhenceanychangeinelevationwillbenegligibleassumethattheblood pressure inthenormalarteryis100mmhg andthattheflowspeed inthisnormalregionis0. 121. Pit"spin pgy patzpre pgy isinceyeya pg mai bernoulli p pz epcui v4. A v aar sinceaa toconvertnormalarterialpressure p loommug pause then u 5m substitutinginaboveean py b 12pm. 1. 33104pa x9. 80 xoloom ofxioox y. gqqopa. ua now i xx.

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