CE340 Hmwk 2a (due 1/22, 8:59 pm)
1-63 As water at 70C flows through the transition,
its pressure will begin to decrease. (Figure 1).
Determine the lowest absolute pressure it can
have without causing cavitation. To solve this
problem use the data given i
I
/1. I
11.1 Distinguish between flow of an ideal gas and inviscid flow of
.
a flwd.
The .f/w of an id / 9(H /nV(Jlvs
of sflllf-e) Eg. 1/ I
L
p=
\
RT
/rlfaJl I
l1"tI which
A" ideal s
1lte in /li.reid
J
II- 3
ero
Vi$UJS
Y1tj
htle
fl,w
i-J.
a.
el1e.YJj) tA)
3.2
I
3.2 Air flows steadily along a streamline from point (I) to point (2)
with negligible viscous effects. The following conditions are mea
sured: At point (I) ZI
2 m and PI = 0 kPa; at point (2) Z, = 10
m, p, = 20 N/m', and V,
O. Detennine the velocity
'1.1+
T
and
(Vo IJ) V(-x)" t (-'12)
(Vo/i) yl(). '12'
4.4 The x and ycomponents of a velocity field are given by
u = - (VoH) x and v = - (Va/e) y, where Va and e are constants.
Make a sketch of the velocity field in the first quadrant
(x > 0, Y > 0) by dr
5.5
I
5.5 Water enters a cylindrical tank through two pipes at rates of
250 and 100 gal/min (see Fig. P5.5). If the level of the water in the
tank remains constant, calculate the average velocity of the flow
leaving the tank througb an 8-in. inside-diamet
(".2
I
6.2.
The velocity in a certain two-dimensional flow field is given by the equation
V
=
2xtl - 2ytj
where the velocity is in ftls when x, y, and tare
in feet and seconds, respectively. Determine
expressions for the local and convective compo
nents o
7. 2
I
7.2 Verify the left-hand side of Eq. 7.Zis dimensionless using the
MLTsystem.
D A ft
V'.
(PVD)'J where
- fJ
_
T/]lJS,
DAft.:. 1- L-'J.T I1.( L !.
PL. J!
V
P
TIJ&!t is
.
lJ L:l.fJ is
2.
pv
3
)
7'-
=:
/J7 () T()
d/mensiolJ/e.r.s.
7.3
I
7.3 The Reyno
CE340 Hmwk 6b (due Wednesday, 2/24, 5:00 pm)
In the following problems, it may be assumed that the fluids involved are ideal, and that streamlines are
straight and parallel at where appropriate. When using the Bernoulli equation, a streamline should be
dr
CE340 Test 2
Date: 24 March 2016
Solution Key
COVER PAGE
Write your name on each sheet of paper that you hand in.
Read all questions very carefully. If the problem statement is not clear, you should
ask the proctors present to clarify if possible the ques
CE340 Spring 2016 Hmwk 1a (due 1/15, 8:59 pm)
Note that the numerical values in these problems may differ from those that may have appeared in
your masteringengineerng.com, which randomizes numerical values.
1. Review of forces and stress (for a solid)
F
Review of CE340 Hydraulics (D. A. Lyn, Spring 2016, Page 1 of 4)
CE340 Review of Hydraulics: Study Aid
0. Preliminaries (Chapter 1.1-1.5)
a) units and dimensions,
b) forces and stresses
1. Fluid properties (Chapter 1.6-1.10)
a) density ( ). specific gravi
CE340 Hmwk 9a
9a-1. Consider a steady water flow in a horizontal
vertical
open channel of triangular cross-section with a
control
streamline
x
gate. The slope of sides of the channel is 2H:1V surface
gate
A
(i.e., 2 horizontal units for every 1 vertical u
Hmwk 8c (due Wednesday, 3/9, 5:00 pm)
T1
8c-1. Water flows from a large tank through a small sharp-edged
orifice (diameter, 0.1 ft) into a dish as shown. At the instant
shown, the tank and water in it weighs 250 lbf, and the water
surface in the tank is 1
CE340 Hmwk 7b
7b-1. A pressurized cylindrical tank of diameter 0.6 m is initially filled with a liquid of
specific gravity 0.9 to a level, h0 1.4 m above
a circular sharp-edged orifice (diameter, d
1.25 102 m ) in the bottom of the tank. At
an initial ti
CE340 Test 1
Date: 18 Feb. 2016
Last Name: Solution Key
COVER PAGE
Write your name on each sheet of paper that you hand in.
Read all questions very carefully. If the problem statement is not clear, you should
ask the proctors present to clarify if possibl
CE340 Hmwk 2b
Note that the numbers may differ from those that you may have seen in the
online problems. In some problems, rounding may cause an issue in the
solution accepted as correct online.
1. Water in the reservoir is used to control the water press
CE340 Hmwk 2c (due Wednesday 1/27, 5:00 pm)
W
1. A hydraulic jack uses hydrostatic pressure forces to
9-in
diameter
leverage a small applied force to generate a large
resulting force (alternatively you can think of it as a
2
type of manometer). If a force
Hmwk 3a
Tutorial on Hydrostatic forces on plane surface
When engineers are designing large structures such as dams, they must be able to calculate the
hydrostatic forces acting on the stucture. In this tutorial we will calculate the resultant force acting
centerline
streamline
CE340 Hmwk 4c (due Wednesday, 2/10, 5:00 pm)
4c-1 The flow in the pipe system shown is known to be
steady. The pipe upstream of Sec. 1 is of constant
diameter, and it is known that the flow upstream of
Sec. 1 does not vary. Similarly
CE340 (2016 Spring) Quiz 1
A gate in the form a half circle of radius 1.2 m leads
from a water reservoir to a tunnel as shown. The
gate is set at an angle of 30 to the vertical. In the
position shown, it is closed. The water in the reservoir is at a tempe
CE340 Hmwk 6a solution
6a-1. A liquid flow through a circular pipe with a parabolic
2
velocity profile, given by u r u0 1 r / R , where r is
the radial distance from the pipe centerline, R 1.2 102 m
is the pipe radius, and u0 2.4 102 m/s is the velocity
a
CE340 Hmwk 4a
The steel cylinder of radius, R = 0.4 ft has a specific weight of 490 lb/ft3 and acts as a plug for the 1.5-ftlong (into the page) rectangular slot in the bottom of the water tank. The density of the water may be
assumed to be w 62.4 lb/ft3
CE340 Hmwk 5a solution
3-51. As the valve is closed, oil flows through a nozzle such
that along the centerline streamline, the velocity is specified as V 6(1 0.4 x 2 )(1 0.5t ) m/s where x is the distance in meters along the centerline from the beginning
CE340 Hmwk 4b
The principle of buoyancy states that when a body is placed in a static fluid, an upward force acts on the
object that is equal to the weight of the fluid that is displaced by the body. This force acts through the
center of buoyancy, which i
CE340 Hmwk 3b
2-101. The open wash tank is filled to its top with butyl alchohol, an industrial solvent. Determine the
magnitude of the resultant force on the end plate ABCD and the location of the center of pressure,
measured from AB. Solve the problem u
CE340 Hmwk 3c (due Wednesday, 2/3, 5:00 pm)
The format to be followed for hard-copy homeworks has been posted on Blackboard. In addition, any
force or moment balance will require a free body diagram and a clear indication of the coordinate
system used in
Hmwk 1b (due date: 1/20, 8:59 pm)
1b-1: Water at C has a temperature of 70F and flows along the
top surface of the stationary plate C. The velocity profile is
approximated as uA= KA sin[(yA)/(2hA), where yA is the
vertical distance from the plate C and KA
CE340 Hmwk 13-c (due on hard-copy on Wednesday, 4/20, 5:00 pm)
A pump with a 6-in impeller diameter and the pump curves shown below (also Figure 14-16 in the text
and given in the lecture notes) is to be installed in the pipe system shown. The pipe system
CE340 Hmwk 3c (due Wednesday, 2/3, 5:00 pm)
The format to be followed for hard-copy homeworks has been
posted on Blackboard. In addition, any force or moment balance
will require a free body diagram and a clear indication of the
coordinate system used in