Momentum Principle Examples

Momentum Principle Examples - WW'V W Foundation for...

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Unformatted text preview: WW 'V' W Foundation for Cross—Connection Control and Hydraulic Research University of Southern California EMMPLE 4/: App/mm: a; Mama" m Mamgnztkan fig? 2‘0 Mt C ‘17" W%¢J é} @@ @@ 74’“: 27-92-34 20:24 23?: fizz/fidu/OVd/q ll: MAP-(45)] 44r'02‘7rr4’r fpVZf/j ,or/e V {OZ/max 471‘ /k(/; ”2(LC/ +6312) “)I’q’r‘ K (1?. =' Z/ ~277' ,, 2.;" F .(Omx 2: _ 767- 4- [email protected]“ ll 1; g 3; ,,"\ “l ll (4; R. K s 2 z 3- .1— ‘- l 7% 42M, 4/ ”70227944290:- 22221; 444474“ (f’U/OWV =3 F773 V - Pic = (4—4:: 32414946 ' "I ,4: 7/6” up , 4:02:22 "”‘ ’ Af- V,- Véofl if. __ (a) 718 //taa/ a/z/Verc‘né‘a/ éefmcn T .2 J’ 2;, 7%: ‘ 422/11." 2. ‘ ‘7 4,14,. (4—0—4 5= 4-4 , 217972 : 44.24- 4 Imam} _ :205‘ cm. (5) If fuéd’Tmeao/fi‘ Aocafi'oaB MW~£ 2M7: gar 84¢fiefl4~e r‘r’w; flee Jame—{M Wédaéel7aém_ L (C) If Q54 14: mot/cal 2‘0 f7 flan we are ”ream/7 £4: JI/féwm'e éefidee» 7‘4: {ofa/ AM 4414/ (”he priedzme/rc hu/ dz? :3: V1": (J... 0,4,,” £0. : _(._?_/0._:?:_._'———/:X?f/ _-: 032(5) 7'2 -—.367. 8 6/277 (0’) IF Tfimowfi 8 52;} JJ mama/21$ H {flea _%fi “W 3413“" .. -—-.——..—...———_—_«— KAP-2OO University Park MC-2531 . Los Angeles, California 900892531 - (213) 740-2032 . FAX (213) 740—8399 ‘5’ A turbulent flow is assumed to flow from a smaller pipe with K aiameter D1 to a larger diameter D2 in an abrupt expapsion. Show ‘P that the head loss in the abrupt expansion is (%-%j which can be obtained theoretically. (Show your work). 7’? - ,- \l A6425» Mmflnllum #607694 (74% gourd/a 4L YEA/3m ‘ 6 , Drag force on a flat plate of unit width under the free stream uniform velocity field can be computed using the momentum theorem. Show all your work and prove the following: 5‘ '0') Madrafflrch‘ = of/ u(Z(.—Z¢)a% Z7437’ (ozxzf) (Il)\fl;1“¢ W“? {1“ 4.2.444 ADWAI? jayw to Wfk 2"- 2!0(’—"‘ 3-; _Z;) #4, F: 05/024}; \n V, (:77) Walt a: MALI. if 06 4... ferz‘h‘l) f 1:1. fie f/‘(i/ (/6119? (/i) 777241? f/btfi flf HH/ .1 (/‘5‘ #04 4%“ {O/‘d;;?: {0 0(2/0 24) ‘Wjflé ngngta‘. fleargw ~, - 5) z {fa/{gm + F/?Z4»ZZ)4%.Z/p / / :4 fl ’0 (’Zéjvm, M a 5 fifl/ /96 A ~‘ ZZ‘ZZD yd] \ f[[ ) / ~ 63: P/zu'czfm’zz/ Mi u. . 2i- (ix/)UZL/ V: Z{0(T '52:) Wflwffl) a/fiz‘L7—g (1") m {we 4/}: 517 (7—; 5/ 7—3/ ~% (/1 £449.47 [01 Z/v{27“7z){Z(p—Z/D{Z7~7Z))o541/7 ,/ 2. :F/ 2/0/27-7z)(/~27+71)gq/7 3-ij 52/0 {2’7 72 —4/7+Z73 +273- Vi)d77 =F52/o-/ (2’7— 5'7 +4731—79‘M’7 ‘ fl 5 ”a ' f 7 {7 + #— 3591) = pow/:z‘x- 35+; +j=fiwzt Foundation for Cross—Connection Control and Hydraulic Research University of Southern California EMMPZE 29F fifffl‘azz’lzm 0/) Mameaézqi 71:535ng gLJ/wafipw M w, a- M 1; gm /<;~,,ZFf= 0 =' JOQ,|/+ Par. (‘V)" IOQO-VCdDa (‘5 £5 62,—-6? - 670‘ch ~m Z - I‘Wé @— 2 an (74" 9:300 62/ — /+:oogé 620 - 073.3 620 szflflégo= (9.057 Q; n 2 {3.8.2.— A/Qz? ammo MK 4, //M jar/é #e agree. an 2,“ fix: 35,; Mn» M M W‘W 34 '55—“ fgz.nw¢y°_ paw/343452 [Dad/Z; W kfv—J /_.5. £5 = loav-[(agLM'wwf—(aUMwééF-«WJ _F,QOV [—fz 50:45-0— /]= [0007/5 (4/4/4) HF}: (/ooo){3a)(/o)(00) (1/4/44): ,0272514/1 1?}= PQZWMW" —0 2.. 5 =1°630Vo[ mac/away" - aaawgrj- (CWDV @r 3 (/000)(30)(/0)(fl0/) (—Q/¢/¢)= —/J7,?é 0V) ‘ ' (a) +(Ij7f- : warm/J C“ oé= Zim'lg/aiéfiSW‘O 1/;—( a /¢/4) KAP-200 University Park M02531 I Los Angeles, California 90089-22531 I (213) 740~2032 . FAX (213) 740-8399 ...
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