ME Homework Set-4

# ME Homework Set-4 - ME 3720 HOMEWORK SET-4 1 A 1/4—m...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ME 3720 HOMEWORK SET-4 1. A 1/4—m diameter pipe carries an oil (SG=0.8) at the rate of 120 liters per second and the pressure at a point “ ‘A’ is 19.62 kPa (gage). If the point ‘A’ is 3.5-rn above the datum line, calculate the total energy at point ‘A’ in meters of oil. I ,. 6 3/ ,1! I r— .5 TE at A: LA 4%+i/¥, VA: ERR": “‘2 :zwrm a; I ,. i—— I S V ‘ t (E) G c) TE wt A 1': 6.33%“ of 01') QY 44'4‘4 “‘94) 2. An Eulerian velocity vector ﬁeld is given as (y2+z2) i + (x2+22) j + (x2+y2) k. Determine total acceleration of a particle in the ﬂow ﬁeld. Also ﬁnd the acceleration of a particle at (x, y,z,t) = (-l,0,l,10). CHL: U 2’“ +v 91‘ Avail 414 ; ZN, (“2+ia2_f 2% (ﬂzrxzz 3" 39" Mr 7" 2 ~21 42%(u2+2 3:0 300 C i p 2&0 w (0/ :M 0;: “git—l “by F} 37*“ ,_ a :0 4.}: ‘9’ :: ’li0;l1’9/ OX’Q7 J ) ¢i\’}ilt)’L / H C n m '0’ 401‘770 3 5”"1J4 3. Water ﬂows through a small hole in the bottom of a large, open tank with a speed of 8-rn/s. Determine the depth of water in the tank if viscous effects are negligible. I ’- z. PMEPV; +32, =f2+§§f3Vz +3432 wifbﬂ:ﬁ:zzsl/,:ﬂl 5'2: :ZPV; J W/YE/E’ andﬂ‘h sot/mi z I Pﬁh‘IFV‘ Of“ .. Ki (8%? W n 29 ’ 20.81%.) gig—- 1/3 4. Air ﬂows steadily through a horizontal, 4-in diameter pipe and exits into the atmosphere through a 3-in diameter nozzle. The velocity at the nozzle exit is 150-m/s. Determine the pressure in the pipe if viscous effects are negligible. A ﬂ =ZI-P(V:‘Vlt) ﬂ 1 z . 1. But s/lzl/z.’ or l4 = Vz (Iggy) sggygﬂ ’7‘!!! 7th) 4‘ 7- A at =%(0'W’—;%->{w£t> We)? SI. or lb ﬂ = /6’.3 a; 3 0.31735 5. Water ﬂows steadily with a speed of 10-ft/s from a large tank as shown. Determine the depth H of the layer of liquid (Speciﬁc Weight = 50-lb/ft3) that covers the water in the tank assuming an inviscid, incompressible ﬂow. From Hue Bernoul/i equal/’0”, 2 2. €1 +72%- +z,=_ +3? +32 w/Iereﬂ: 6M, 1&0, 102:0! z,="7‘f/J 417012; “SH 3 Thus) ’1 50 mm A énl +2, = 35’; _+ z: 50 find my; 14: mag 50/5/1913 00 {xi/sf (“ails/r43)” + 4‘ H “ W *5 1’ 1’ Therefore} H = 3.“? 6. If water ﬂows from a garden hose nozzle with a velocity of 15-m/s. What is the maximum height that it can reach above the nozzle? é+g+zzée+g+zz 7711/51 3 v2: (rs-21f , h 5?— 2(22/gn1)”éé_.§_£ 2/3 7. A circular stream of water from a faucet is observed to taper from a diameter of 20-mrn to 10-mm in a distance of 50-cm. Determine the ﬂow rate assuming steady, incompressible, frictionless ﬂow. h~ V1 ’- V2. \$+§é~+zﬁé+§j +2!2 Q where f), .392 = 0 J 21:0, 2, = 0. 50;» m and DI=O.02.0ﬂ7 0.50m } 1 2 2&2, 1 i . =(%1) 0!“ :4 M (1)DZ:O,O/pm . 2 ﬂ,‘ 7/ 4141/4? Q or smce A 2. 75' “ WE abhm 1 Q = z __L__._ V5?! = 120) 0/0 a. 2(£€/%)(o,50m) E lI-(Dz/m‘ “ ' ”’) W'— 3 = 2 51; x/o 43’”— 8. In relation to the venturimeter discussed in class, draw the sketch and (a) Derive an expression for the volume low rate (Q) in terms of areas (A1 and A2), gravity g, and h. —. __.————-"ﬁ ‘ \ldlLf“ 6’2 3/3 2. 3.48 @‘d2 W in \$1 walk: a .m_.~__ ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

ME Homework Set-4 - ME 3720 HOMEWORK SET-4 1 A 1/4—m...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online