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Unformatted text preview: AER205S FLUID MECHANICS and TRANSPORT PHENOMENA
Quiz 2
27 October 2006 9:10 am  10:00 am Closed Book, no aid sheets
Nonprogrammable calculators allowed Instructor: J. W. Davis Family Name: \ \93 \ }C€«U :5
Given Name: o l Ulyst'ILO’L “’35 Student #2 FOR MARKER USE ONLY Question Note: The following integrals may be useful. {coszede = i0 + lsin26 + C; [sinzﬁdﬁ = 1(E) — lsin20 + C
J 2 4 2 4 Page 1 of 7 l) a) State and explain the importance of the continuum hypothesis. (Zmarks) 7L1 $2 6Q rawain Mic/chm} I‘M ﬁmLMTC “(0 H1 MHH‘ Wed
m1 m a M tram allows aﬂwatuw u
Calcufiju—lofbe CLF/fofci *icP‘ “QiouJS. b) Explain what is meant by the “noslip” condition. (2 markS) Phil {mma—liﬂcimig "337' Oat/eel In wwle
wild“ 0:. 90K; SM‘QaLE Mow€25 wLJrlA @Gct‘llJS
Hue Saw M0591 m gmijfiCC c) Explain the difference between surface forces and body forces.
(2 marks) Sm‘gatf’ M03? FWLQ’SIQMLQA (Muff! (4.;th claim “Milan: 0C a ﬂuid elem/«emf. EDA Cyrus. .~ :ché,gwlxm mew}. ‘ Who/L Cu! 3 40%“ M044 mi3 0 dame.le d) State the Hydrostatic Axiom, and explain in words What it means. mﬁmaﬁ (3marks) A
A
:1 _ " 85'
at? — * r "‘ '
5,? — a.“ uh A:
Oh 0L SMQOLC: gala/“5“; 5“ ourm SSr wail/M 0 war Am‘MAa/l ’le Causal“? YVﬁdésd—‘I‘ﬂ Q0401 W ’\ cbg J t) carol“: 0AM V‘ I it) Q; in
Magmilwif ll? 33,6604: (:55) L5 Cm? res/fiue_ Page 2 of 7 e) Deﬁne the following terms: streamline, streamtube, stream ﬁlament. (3 marks) [M men 601% WW ‘lp—l’lj 0405A: Sim“ (ram/Ll; we. : ShEaVMJrf/tloe: ‘l’tkhf’ gimmeci giveaM‘lwe’i CL clown/J CW6 in ‘l’lx upland \Elclg “Wham Rdamcwjr: 5 “WM: Small though stack awj WA—Sﬁé“llo‘w Mans he (gm\Clercd ?\:‘1vxa~“(
044i WQEWJiCu/Qar is: Chm—j f‘ltrﬂmlxwﬁ, f) A solid sphere, 50 cm in diameter, ﬂoats at the interface between water ( pw = 1000
kg/m3) and oil (poi, = 750 kg/m3), such that 80% of the sphere’s volume is in the water.
What is the density of the sphere? (3 marks) Page 3 of 7 2) The discharge Q [m3/s] of a centrifugal pump is a function of the rotational speed of the pump,
N, the diameter of the impeller, D, the pressure drop across the pump, Ap, the Viscosity of the
ﬂuid, ,u, the density of the ﬂuid, p, and the acceleration due to gravity, g. Develop a suitable
set of [7 terms for this problem. (8 marks) xxx ~39, E43
TFQ : 3.3
IUD
_ a r}?
mm = we  rT~~rLL>3\W> '=,
)L='L 3:34 '1‘“ _ A; .5
TVA? . wtbliﬁ x..._../
K "s 3,. E C’b
Em  WW = U“) m U” l “
15% 5:7. 1”“ \QG
7T = 45. A
a WS n
x &
Jblgi ; LTI = LT‘} lLVlHLIB)
pLz'L (3:4 b='O
I ‘3
" 773 ; MID Page 4 of 7 3) A rectangular channel of width 1m contains water to a depth of 1m. A gate at the end of the
channel is a quarter circle of 2m radius as shown on the ﬁgure. Find the force F required to
hold the gate closed. (12 marks) ////// // / —~,. m  “J C“
$9171: 5"— ? R)
? 9i 5F» ' W $5 5““ Page 5 of 7 4) A box of length and height L is closed at the top except for a slit in the upper righthand comer,
C, which is open to the atmosphere, Pa, as depicted in the diagram below. It is ﬁlled completely with liquid of density ,0, and with g = — g]; being the acceleration due to gravity, it is subject to an accelerationzﬁ = + in such a way that no liquid spills from the box. Determine the pressure distribution throughout the box, and in particular, find the pressure at
the lower left—hand corner A. (10 marks) Po ~ l"? 1% Law a ilﬁé
/_ “we” r?
to a c..\~€_ ‘. z i—F  S'X a:
1" “ii” =9 reﬂex” its =7 watt» : C* 0.3.: 3ssz mm a» rm: J ml“ W "C
C: ?& 3 “p: Fiat + ZﬁL “‘7; “La 2:: gag}, 5) 0d: x:?:=0 :9 $=TQ+ZQL Page 6 of 7 5) A Pitot tube is used to measure the water velocity at the centre of a 30 cm diameter pipe as
shown in the ﬁgure. If h = 10 cm, what is the ﬂow velocity? (5 marks) Page 7 of 7 ...
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 Fall '08
 O.Trass
 Fluid Dynamics, Fluid Mechanics, Velocity, Orders of magnitude, Continuum hypothesis, J. W. Davis

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