Solutions to Problem Set 4
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Solutions to Problem Set 4
2
Solutions to Problem Set 4
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Solutions to Problem Set 4
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Solutions to Problem Set 4
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Solutions to Problem Set 4
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Solutions to Problem Set 4
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Solutions to Problem Set 4
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So
Georgia Tech Library Reserves
NOTICE
This Material May be Protected by
Copyright Law (Title 17 US. Code) CEE 3040 Fall 2007 Exam#2
Problem 1 (35 pts)
A nozzle for a spray system is designed to produce a flat radial sheet of water ( p = 1000 kg/m3,
y : 1><
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3.4 The Linear Momentum Equation
163
CV
gage
pressure
F
gh 1
gh 2
=0
E3.10b
Assume steady incompressible ow with no variation across the width b.
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Chapter 3 Integral Relations for a Control Volume
Ambient
air
Valid
Model
Valid,
new
constant
Valid
Valid
Invalid
Invalid
(a)
(b)
Valid, new
con
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3.3 Conservation of Mass
151
This is the integral mass conservation law for a deformable control volume. For a
xed control volume, we have
d
t
CV
(
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Page 169
3.5 Frictionless Flow: The Bernoulli Equation
V(t)
169
Solution
V(t)
The appropriate control volume in Fig. E3.12 encloses the rocket, cuts through the exit jet,
and accelerates upward at rocket speed V(t)
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Chapter 3 Integral Relations for a Control Volume
The friction head is larger than the elevation change z, and the pump must drive the ow
agains
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Chapter 3 Integral Relations for a Control Volume
Wherever necessary to complete the analysis we also introduce a state relation such
as the per
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Chapter 3 Integral Relations for a Control Volume
The ow from 1 to 2 is a constriction exactly similar in effect to the venturi in Example 3.15,
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184
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Chapter 3 Integral Relations for a Control Volume
Equation (1) thus becomes
Tok Q(R2 RV0)k
To
Vo
R
QR2
Ans.
The result may surprise you: Even if
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4.2 The Differential Equation of Mass Conservation
Incompressible Flow
235
A special case that affords great simplication is incompressible ow, wher
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Page 202
Chapter 3 Integral Relations for a Control Volume
P3.41 In Fig. P3.41 the vane turns the water jet completely
around. Find an expression for the maximum jet velocity
V0 if the maximum possible support
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Chapter 4 Differential Relations for Fluid Flow
Z
Liquidgas interface z = (x, y, t):
pliq = pgas (R1 + R1)
x
y
d
wliq = wgas =
dt
Equality of q
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6.8 Flow in Noncircular Ducts
379
piping head loss. If minor losses are neglected, the (horizontal) pipe length follows
from Darcys formula (6.10):
h
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4.7 The Stream Function
259
not a great victory, and further assumptions must be made to effect an analytical
solution to a typical problem (see, fo
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Chapter 4 Differential Relations for Fluid Flow
Comment 2: Since these are equal, the given velocity distribution is indeed an exact
solution o
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3.4 The Linear Momentum Equation
157
the external pressure force on a surface is normal to the surface and inward. Since
the unit vector n is dened
CEE 3040 Solution to Sample Final Problems
Name:
Consider a rectangular oil tank (2.6m x 9.5m) with a water layer at the bottom. How long
will it take for the water to drain through a 0.02m diameter drain hole?
1.9m
0.7m
Oil SG = 0.87
Water
0.02m dia
Page
*VE $3
‘ SD, 7.9.4‘
mew 100(3)
E3 11 m#2 N : So '7‘ M
CE O40Fa 2002Exa ame (,u Io
Problem 1: (35 pts)
A water jet falls from a reservoir through a 100 mm diameter nozzle into a weightless dish that
ﬂoats on the surface of a second reservoir. The submerg
Exam 2
Friday, 10/17/2014
11:05 to 11:55 pm.
CEE 304GB — Fluid Mechanics —- Fall 2014
Georgia Institute of Technology
Instructor: Dr. Hermann M. Fritz
NAME:
This is a closed book exam. 1 additional sheet of US-Letter paper with personal notes/equations
on
C L)
CEE 3040 — Fluid Mechanics — Fall 2013
Georgia Institute of Technology
Instructor: Dr. Hermann M. Fritz
Exam 1
Friday, 10/18/2013
11:05 to 11:55 p.m.
NAME:
This is a closed book exam. 1 additional sheet of US-Letter paper with personal notes/equation
CEE 3040 Fall 2011 Midterm Exam#2 Name:
(Use the extra pages. Do not write answers on the back of the paper.)
Problem 1-(Spts)
A nozzle for a spray system is designed to produce a ﬂat radial sheet of water ( p = 1000 kg/m3, p =
1X10"3 stmz, g = 9.81 III/5
CEE 3040 Spring 2010 Exam#2 Name:
(Please use the extra papers. Do not write your solutions on the back.)
Problem 1 (5 pts)
Water (p = 1000 kg/m3, y = 1><10‘3 Ns/m2, g = 9.81 m/sz) enters a two-dimensional channel of
constant width, h, with uniform veloci
CEE 3040 Spring 2014 Exam#2 Name:
Problem 1 (30 pts)
Oil ﬂows into the pipe at A with an average velocity of 0.2 m/s and through B with an average
velocity of 0.15 11115. Determine the maximum velocity Vmi of the oil as it emerges from C if-the
velocity d
CEE3040A:FLUIDMECHANICS
MIDTERMII
Spring2003
(3/25/2003)
ClosedBook
90minutes
Name _
:
SN#:
_
Question1
(30points)
The bottle shown in the figure contains 2 liters of pop. Theairpressureinthetopofthe
bottle is psi pop is assumed to have the same specific
Exam 2
Friday, 10/16/2015
12:05 to 12:55 pm.
CEE 304GB v Fluid Mechanics ~ Fall 2015
Georgia Institute of Technology
Instructor: Dr. Hermann M. Fritz
NAME:
This is a closed book exam. 1 additional sheet of US-Letter paper with personal notes/equations
o
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[ 0553040 Quiz I Namezmxo o 86 re&
Closed Book and Notes February 6, 2008
Avg 7'
1) The weight shown falls at a constant speed of 50 mm/s under the
action of gravity. The thin gap between the weight and the cylinder
wall is ﬁlled with
Friday, August 26, 2016
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11:14 AM
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11:25 AM
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Friday, August 26, 2016