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## Fluid Mechanics

by: Rowan Spinka DVM

64

0

3

# Fluid Mechanics MAE 308

Rowan Spinka DVM
NCS
GPA 3.62

Tiegang Fang

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COURSE
PROF.
Tiegang Fang
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Aerospace Engineering (AE)

This 3 page Class Notes was uploaded by Rowan Spinka DVM on Thursday October 15, 2015. The Class Notes belongs to MAE 308 at North Carolina State University taught by Tiegang Fang in Fall. Since its upload, it has received 64 views. For similar materials see /class/224022/mae-308-north-carolina-state-university in Aerospace Engineering (AE) at North Carolina State University.

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Date Created: 10/15/15
3151 Water ows through a circular nozzle exits into the air as a jet and strikes a plate The force required to hold the plate steady is 70 N Assuming frictionless one dimensional ow estimate a the velocities at sections 1 and 2 b the mercury inan ometer reading 17 DI lOcm D water a 20 C I 2F7Frhzltormlt2Azmltrm72Aznz 701v7993omiwf 13996 ms Ansa Solution a First examine the women tun of the jet striking the plate quot 1 1 rhz j 11AM 131sz V 1 9960031 The V1 L or 1 z 09 ms Ans a A It q 1 4017 4 b Applying Bernoulli Z Z Vii z L z 7 2g 1 7 2g 2 Where Z1 22 p2 71515 if 9989963 7093 49100 Pn And from our nianometry principles hiAipi 49100 7 7 2 04 m pg 131100 9790 Ans b 3153 For the container of Fig P3153 use Bernoulli s equation to derive a formula for the distance X Where the free jet leaving horizontally will strike the oor as a function of I and H For what ratio hH will X be nraxiunun Sketch the three trajectories for I lH 04 05 and 06 Fig P3153 Solution 2 2 LL LL 7 2g 7 2g Bernoulli s equation Where p1pzV10 V2 Hizh V2 2gH71 2g tM Zhg The distance travelled horizontally is X VZtM 2gHe h1 Zhg 2 hH h Ans Maximum X occurs ath HZ or szx H When hH 04 or 06 thejet travels out to X 098H 3161 A neckeddown section in a pipe ow called a venfuri develops a low throat pressure which can aspirate uid upward from a reservoir as in Fig P3161 Using Bernoulli s equation With no losses derive an expression for the velocity V1 which is just suf cient to bring reservoir uid into the throat V2p1yn Fig P3161 Solution Water will begin to aspirate into the tln39oat when pa 7 p1 pgli Hence D 2 Continuity IAJ1 pAZVZ j VZ D12 V1 2 l l Bernoulli s equationwith Az0 p1 Epr pZ EIJVZZ D1 DZ 1 1 a pr pt 52013 V22 EPVI z 1 Solve for pf 11 2 pgh 1 z D 2g 7 V 17 1 2 h V A 2P 1 D24 Pg lmm 17 D1 DZ4 quot5 3165 A venmn39 meter shown m Fig P3165 is a carefully designed constriction whose pressure difference is a measure of t e 0W rate in a pipe sing Bernoulli39s equation for steady incompressible ow with no losses show that the ow rate Q is related to the manometer reading 14 by Q A1 l l D2 Di 4 Where MI is the density of the manometer uid Solution First establish that the manometer reads the pressure difference between 1 and 2 pry ptrmgh Then write incompressible Bernoulli s equation and continuity between l and Z 1 1 D Z APO 21 5pr p2 5me and 12AM pAsz a D2 V2 1 4 1 1 D pr p2 5120 V12 51sz 1 D V 2P1 p2 2PM Mg 2 217 D2 D14 217 DzD1 A2 2ghltPM P AZVZ Q J17 DZD1 V 11 Am 4 1

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