Midterm1_example_probsl

Midterm1_example_probsl - 1.48 If the equation of a...

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Unformatted text preview: 1.48. If the equation of a velocity profile is u = 4y” 3(1) fps, y ft), what is the velocity gradient at the boundary and at 0.25 ft and 0.5 ft from it? 1.49. The velecity profiie for iaminar flow in a pipe is m) = uca — rz/RZ) where r is measured from the centerline where v = vc and R is the pipe radius. Find 7(r) and dv/dr. Plot both versus r. 7' dv .. 1V V \f( = (i‘ I" m : L V) V5 R1) 5"” 22— a .63.»: -1: fldv’ TU) = 1.55. At a point in a viscous flow the shearing stress is 5.0 psi and the velocity gradient 6 000 fps/ft. If the specific gravity of the liguid is 0.93, what is its kinematic viscosity? £931. 93/5 T bODO A? ~C+ 1.56. A very large thin plate is centered in a gap of width 0.06 m with different oils of unknown viscosities above and below; one viscosity is twice the other. When the plate is pulled at a velocity of 0.3 m/s, the resulting force on one square metre of plate due to the viscous shear on both sides is 29 N. Assuming viscous flow and neglecting all end effects, calculate the viscosities of the oils. I I I , — 0‘03!” [l4 //(7- a 2/”! T a M v flz. V: 0.3m/5 ?’?’7/’7’ ?£4\"t£ in! , X, , €7.73 _ "‘f’; X" i. In " "m " 10 M Y 0.00% h" F 55:! db! _ K " f4: + .L a ‘ H u \°‘ ’N O \./ II N «25 39‘ 1-. S. I r. 13.2751 Cakulaia the maximam capiléary depressiorz of memury . £0 {as expected in a vertica} giass tube 1 mm {0.04 in.) in diameter at: 155°C {60?} £326. A map bubbia 59 mm in diameter ccniairzs a pressure (in execss of atmospheric) of 20 Pa. Caiculate the :msion in the soap 53m. 2&3 o PIX = 5L E31131: 6W5; gm a _ {207(0'AI503 4 4 6": 0‘1; fi. 3 W1 if}. I . ..., 15:02.3 “flan ‘3‘» a... in: -' é YV 33?? 2- &aéw 6 =- onse 15"; = a 335 Y: E : "35 m3 8%.? 9 ’2 How am Hagar? ’2. {Oxgé3m139° in: 000%” : *q'qmm. Li%3( —-;_~ W aims) mm d s ' wing»: ‘13.? )( 1(a)) may» a _ , ., . ‘34 * 9%»???feiég , .Hm .. Jfi: . g. m.” 1.1. n . am .nL . 8 . r m, . c w . c: . u. i 3‘ ..§.... f m ,. an mméieiptfifof wéégéw :Wé} m epfiilfimawfl Q3135 wag-$2519:me IIfaifiNjengIé'ctjthg: T8: @wfi . .Mr. . .. ‘ {a E , . . i 1 4 , . . _ wwwlfiar .. ‘ . it; ,4 v.2 a fix 2 «Q . “4.5%.? ‘ iwwwwhmé? . . . ‘ : _ ._ 1 ,. . , . , . ..%~am%§~%w . «fig 5.15. Denve a relation between A] and A2 so that f0: 3 flow- rate of 0.28 m3/s the static pressure wilt be the same at sec- tions 1 and 2. Also calculate the manometer reading for this condition. 1.... ‘1. ELALE.’ «3+2; ’2 jun \ ~ I 7- wL 3. _ ‘3. 1 = r15 13“ Al?— AL‘L t t -f _ 5 .‘ 11x a: '3 3 .4 2‘ 1! .36 1 f 2; E: i: "5 33 1:?5 :5: ,4 E a! e :9: s E: _ € e E5 fa WVHWL 547‘4‘1 F/{fifiwlfi VflmnW—éWJ ‘7‘ e rs (L’o’Jrh) = W e ia‘rnj “DI-tit; P‘ J ‘31:; w; W figIU'C‘ 'Cov‘ \n 3 1.5 Y: '- (Ig) (9.85) Y“ "' 3 (H57 " 1,1 1 {00.7. mm 3 208 ...
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This note was uploaded on 05/05/2010 for the course CEE 342 taught by Professor Staff during the Winter '08 term at University of Washington.

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Midterm1_example_probsl - 1.48 If the equation of a...

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