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Unformatted text preview: Example Exam,_#2 Questions CE 22601.4 " 31 i’ ~V  v Short Answer " t ' r i Deﬁne or describe a streakline. _ j j; ' Deﬁne steady ﬂow. ’ ‘ ~ ‘ k _ V' "1”" Deﬁne streamline. , g “ Deﬁne uniform ﬂow. it i L " For steady ﬂow, there can never be any Give a verbal description of the following LS [5‘7 0 (ll—X . ‘ ’ In the Reynolds transport theorem, is DBIDt a Lagrangian of anEulerian term?
Is a control volume a Lagrangian or an Eulerian volume?
(Number the separate parts of your answer.) The conditions necessary for Bernoulli's equation to be applicable are .
A device which can be used to measure ﬂow velocity by measuring the difference between the stagnation pressure and the ambient pressure '3 called a .
A piezometer in a pipe wall measures the pienometric head. The distance from the datum to the liquid level in a stagnation tube in the ﬂow in a pipe measures the head.
In a rotating ﬂuid (for example, a rotating We), the direction of the acceleration is toward __ .
In a rotating ﬂuid, the pressure in ﬂaepositive r direction when 2 is held constant. Give a verbal description of the following team ICSpW 0 (1A . When using a moving coordinate system forthe momentum equation, the coordinate system can have a nonzero velocity but its nmst be zero‘
Write a mathematical expression which can be used to calculate the momentum ﬂux for ﬂow in a pipe when the velocity distribution is essentially uniform. acceleration. ' Problem 3 (20%) — There is a steady ﬂow ol‘air in tho‘pipe as shovm.
The temperature is the same at all points in the ﬂow and is equal to 70°F. No other simplifying assumptions ﬂtonld be made. Calculate the flow velocity; at cross: §e§tign g. Prg E2ng 2 (20%)  Flow of an nicompressibleﬂm'd is taking
place in a tapered section, as shown by theveloeity vectors
in the sketch. The flow is 5 ft wide perpetﬂienlar to the
paper. Along the line AB, the magnitude of the velocity is
constant and equal to 3 fps. The directiOn of the velocity is
givenby8= Thy/8, whereylsinftand Gtsmredians. For
example, y {to ’atrad) 9°
2 “I4 45
1 ‘u/S 22.5
D D 0
F‘ 1 «:18 22.5
2 vie/4 ~45 alwla l1 _ ' a s urfa
Note: This problem needs to be solved usingradians, not degrees, for the angles. The values of e in degrees are given
just to help visualize the problem. RememberISO‘ = 1: radians. ’ GIFH image 698x421 pixels For the circular pipe expansion shown, one dimensional ﬂow
"/"i conditions en'st. The velo‘cityin the expansion is given by
memo 0.1x2) ' m
whereVisinm/s.tisinsegandxisinm.W '
ggg' glggaﬁgn §1g=2gggn§ x=1m x l
2m ( Emblem “10%) — Water is ﬂowing in a'circular are with a radius of 5 ff in
a 6in. square duct. The inside radinsof the duct is 4 ft 9 in. and the outside
radius is 5 RS in. The ﬂow is in a harlzontal plane. The ﬂow velocity is
constant across the width of the ductand along the length of the duct. For .V = 10 ‘95
this situation, :11 ul “ dif ‘ «11' ' n t i f the dug: are m: imidg (Le, calculate p0 p§).  ‘ m = m 9,051” / —— 1., A jet of oil with a speciﬁc gmﬁty of 0.9 is discharging vertically upward into the
,n\ atmosphere. fi'he ﬂow is steady and is coming froma 6 in. pipe through a nozzle
with a 2 in. diameter. The velocity at the nozzle exit is 30 fps. mam: ximum h i h whf h 1': ‘ll ri . Neglect the effects of resistance in the
air and the effects of the oil falling back down ground {he jet.
2; = B. 78 Ff 21a. jet ' V  30 1p:
«1‘25 71. ,
I 8 In. pi.
40
Problem 5 (15%)  The pipe junction shown is in a ft @ D = 1 ft horizontal plane so weights do not need to be considered. All three pipes are continuous beyond the_ part of the junction shown. The junction is well streamlined so head losses are negligible. Water is ' ‘ ﬂowing. Calculate the x) compone_nt of the force needed “'"' 3‘ 3459 ‘
v — ass to support Q’s '1 unction. Show the direction ofthe y ..
,A u rt force with an arrow next 0 our . / l 11
_ : . » :4 II mu n n “<DFU of] 10/1438 12:39? ...
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 Spring '09
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