Assignment 4 - Solutions

# Assignment 4 - Solutions - 4.5 Water enters one end of a...

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Unformatted text preview: 4.5 Water enters one end of a perforated pipe 0.2 m in diameter with a velocity of 6 m/s. The discharge through the pipe wall is approximated by a linear proﬁle. If the ﬂow is steady, ﬁnd the discharge velocity. @ﬂ,ﬁﬂl -— “ifo’QL gm m2} 3 O __ ‘0’: V* ———-—#'—‘“~“= \I'llgm/s Lia-H) ___igmp ~3‘U‘Agew9 + 3v“ AL:- yvq’Aé. :_ —_ __I'Zﬁgj__;_7;f 4 A. «eh-Q +' A; A5 -= o 4221f L '"A\$»9——_-A2+ﬁ\g W M» _ _ gawk: _f‘EYAzj 379“; ____ _____ _ _ _J; _ __ _ : A = Mm; c2)_____ _ ‘(J)é~QL7«) ___ _ j W _ WW -_ ._ . A: 045-9) '7- 3A3 + 3 A3= A—<H;e)A3- -— ~- A32A A5: M1n- ALI 3931 _A3_ 9%3J1A L112???) _- l_ -_ _* __ :3 - Vina-me: -.= maﬁa F3 =- Q 660%. “33% ng-KE) + Qwﬂqg‘kmijMQ —_-..— wage) N =2 mack»: 5.25 An open tank L ft long as shown below travels to the right at a velocity ’0: fps. A jet of mark; exhausts ﬂuid of density p at a velocity ”1‘ fps relative to the car. The tank car, at the same tune, collects ﬂuids from an overhead sprinkler which directs ﬂuid downward with velocity v3. Assuming that the sprinkler ﬂow is uniform over the car area, Ac... determine the net force of the ﬂuid on the tank car. _ I __ _ ____ _ _ — _. ____ ___ _ L2- __ _ _ 2% w I L] __ WQQuQ 3 M MW ' — j @531 UJAMLI‘M * 509mb —— — I. __ *Aau-w L W 1512::an 8M1; __ “I‘ -§;£réYﬂ3<Q—A=_—§" I h — +l — —— — -— — ___}:ﬁA + SIE‘MF'P FL I _ 41% agar—kw EMU-{rah :M £14.} (or W; — km» 4.?) “gaging (WM) _ _# #______i_ W224]; 333. (931) = J? (“MUC-‘UAJ _ __ _ L :. fvlzp‘bﬂj CZ")— H («a 33 ,q 3’ b E If: IrF . F; l8 _ __ _ ___ SW CPD:—CI) b-e—W L Mow Weak A1 Cmmm ii __ v _ _ __ 4 _ ___ . _. ___ _‘_____ ; S j! C!‘ ”13‘“ ”__iﬁLVﬁﬁrggjiuLuf‘fgg.) (”1%) __;_ ’54 _ _. _ —-= +30% m .L. a 04 “39,3 3 LuggDEQ MW_MLL_5 “‘94 = ”42.4. , ”0:191: = W _ l —g X C}. {’13 ﬂ E__jJJ4LA+_ﬂ+ C4) M __ L30) %;&ch_m «QM ﬁngmg- _ J|_ __ i \$1M. ll Assignment 4 -— Additional Problems (cont.) 3. The nozzle shown discharges a sheet of water through a 180° arc. The water speed is 15 mfs and the jet thickness is 30 mm at a radial distance of 0.3 m from the centerline of the supply pipe. Find (a) the volume flow rate of water in the jet sheet and (b) the 3; component of force required to hold the nozzle in place. R=O.3m {i ‘2‘ (633 Q: g?°ﬂ&l\ : k; I: Q 1 ”V‘ﬂkt gglcﬁpf‘dcnlé) : 020 me m (N Cneﬁlealgmvlho ewe—4 e «:f g all/SAP“ V+ c3 5’1 (WE‘MA: “SpadAJcF’R- FR: gyvCV5ﬂ)&A _. V”) (9:. I“ _ ""' "" Q. ‘2 QB .... g Ali-ﬂ; I?! up ”WA Gig ELM GE 2 FR — \ijQ X (M “E . a _ ‘ Bel-Wag came. a Gil . "rt/g, ) fig. fa: afvzaté ... p.533 K View = 4.0:? lel ...
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