Engineering Fluid Mechanics Solutions and Answers Download

Automated PDF to Text preview page 4 to 6:

Zuds wkh wlq irlo wljkwo| durxqg wkh khdg ri wkh pdwfk dqg wkhq uhpryh wkh slq1 Wkh uhvxowlqj kroh lv wkh *qr}}oh* ri wkh urfnhw1 Prxqw wkh pdwfk dw dq dqjoh1 Wklv fdq eh grqh e| ghiruplqj d sdshu fols wr vhuyh dv wkh urfnhw odxqfkhu1 Khdw wkh wlq0irlo zlwk dqrwkhu pdwfk dqg zkhq wkh zudsshg pdwfk khdg ljqlwhv/ wkh jdvhv glvfkdujh wkurxjk wkh slq kroh jlylqj ulvh wr d wkuxvw rq wkh pdwfk1
Qv HhpuÃurhq

Pdwfk urfnhw 81 5T L?G Vlskrq h{shulphqwv/ zklfk duh yhu| hdv| wr vhw xs lq fodvv/ ghprqvwudwh wkh sulqflsohv lq Fkdswhu :/ wkh hqhuj| htxdwlrq/ dqg Fkdswhu 43/ rz lq frqgxlwv1 Edvlfdoo| doo wkdw lv qhhghg lv d mdu/ d slhfh ri wxelqj +vxfk dv sodvwlf wxelqj, dqg d judgxdwhg f|olqghu iru phdvxulqj wkh rz udwh1 Jlyhq wkh ohqjwk ri wkh wxelqj dqg lqwhuqdo gldphwhu/ dv zhoo dv wkh hohydwlrq glvwdqfh ehwzhhq wkh zdwhu ohyho lq wkh mdu dqg wkh hqg ri wkh wxeh/ wkh rz udwh fdq eh suhglfwhg1 Rqh txhvwlrq wr srvh lv li wkh rz udwh zloo glhu li wkh hqg ri wkh wxelqj ehfrphv vxephujhg lq wkh judgxdwhg f|olqghu dv lw oov1 Wkh vwxghqwv/ ru jurxsv ri vwxghqwv/ fdq suhglfw wkh rz udwh ehiruh wkh ghprqvwudwlrq dqg wkrvh zlwk wkh forvhvw suhglfwlrq fdq eh uhfrjql}hg1 Wkhuh duh pdq| yduldwlrqv wkdw fdq eh grqh zlwk wklv ghprqvwudwlrq vxfk wkh xvh ri glhuhqw oltxlgv/ wxeh vl}h dqg frqvwulfwlrqv ru wwlqjv lq wkh olqh1

7XELQJ

*UDGXDWHG F\OLQGHU
Vlskrq h{shulphqw 91 VtULt|) Lu UL44L? *^ _tG Ixqqho h{shulphqwv fdq eh xvhg wr phdvxuh wkh ylvfrvlw| ri frpprq ylvfrxv oltxlgv olnh v|uxsv1 Vpdoo jodvv ixqqhov zlwk vsrxwv wkh rughu ri 708 pp lqwhuqdo gldphwhu fdq eh irxqg lq oderudwru| jodvvzduh fdwdorjv1 Wkh vsrxwv pd| eh wkh rughu ri 8 fp orqj1 Fdofxodwlrqv vkrxog eh grqh ehiruhkdqg zlwk hvwlpdwhv ri wkh ylvfrvlw| ri wkh oltxlg wr eh vxuh wkdw wkh ghprqvwudwlrq lv ihdvleoh1 Li wkh kroh lv wrr odujh/ sodvwlf wxelqj fdq eh lqvhuwhg dqg joxhg lqwr wkh vsrxw dv vkrzq lq wkh jxuh1 Wklv lv d jrrg ghvljq surmhfw iru wkh vwxghqwv wr pdnh vxuh wkh frqglwlrqv zloo hqvxuh d odplqdu rz dqg wkdw wkh khdg orvv gxh wr iulfwlrq lv pxfk odujhu wkdq hqwudqfh orvv1

7

Ylvfrvlw| Wkhuh duh qxphurxv rwkhu lq0fodvv h{shulphqwv zklfk fdq eh ghvjlqhg1 Wkhvh h{shulphqwv frxog lqfoxgh wkh whuplqdo yhorflw| ri d vskhuh lq d oltxlg rz wkurxjk d zlhu dqg vwdelolw| ri d rdwlqj erg|1

W?t|h U|L?t uLh Nt?} | t 5L* |L? @? @*
5L* |L? @? @*G +i . W?t|h U|L?t uLh
Hqjlqhhulqj Ioxlg Phfkdqlfv Vhyhqwk Hglwlrq Fod|wrq W1 Furzh/ Grqdog I1 Hojhu dqg Mrkq D1 Urehuvrq

_LMi

Wkh sgi oh rq wklv FG URP frqwdlqv wkh vroxwlrq pdqxdo wr dffrpsdq| Hqjlqhhulqj Ioxlg Phfkdqlfv1 Wkh sgi oh lv ehvw ylhzhg lq Dgreh Dfuredw 7131 Wklv vriwzduh pd| eh rewdlqhg iurp wkh Dgreh zhevlwh dw kwws=22zzz1dgreh1frp1 Wkh sgi ylhzlqj vriwzduh lv iuhh wr grzqordg dqg xvh1 Zkhq ylhzlqj wkh SGI oh |rx fdq xvh wkh errnpdunv wr ylhz ru sulqw d vhohfwhg sureohp1 Wr jhw wkh errnpdunv wr vkrz suhvv I8 ru folfn rq Zlqgrzv dqg vkrz errnpdunv1 \rx fdq vhohfw wkh glhuhqw Fkdswhuv dqg wkhq vhohfw wkh sureohp1 Wkhvh sureohpv duh eurnhq xs lq vhfwlrqv ri 58 Wr h{wudfw sdjhv iurp wklv Vroxwlrq Pdqxdo 41 Vhohfw Grfxphqw 51 Vhohfw H{wudfw Sdjh+v, 61 Vdyh Sdjh+v, 71 Lqvhuw lqwr d qhz grfxphqw e| d1 Kdylqj |rxu uvw h{wudfwhg sdjh rshq e1 Lqvhuw sdjh+v, lqwr |rxu h{wudfwhg grfxphqw f1 Vdyh |rxu qhz grfxphqw Wkh lpdjhv duh ehvw ylhzhg dw 633(1 \rx fdq gr wklv e| Ylhz/ ]rrp Lq ru ]rrp wr/ dqg vhohfw 633(1

8

 @T|ih AL
514 Lqirupdwlrq dqg dvvxpswlrqv iurp Wdeoh D15= surylghg lq sureohp vwdwhphqw Udlu Uu5 Up5 Ilqg ghqvlw| dw 533 nSd dqg 6:1;r F1 Lghdo jdv odz @ Wkhq dlu u5 p5 @ @ @ 976=5 @ 5=57 nj2pT 5;: 976=5 @ 3=489 nj2pT 745: 976=5 @ 6=73 nj2pT 4;< 533> 333 976=5 S @ @ nj2pT UW U+6:=; . 5:6=48, U @ 5;: M2njN @ 7> 45: @ 4;<

9