ENSC-283
Assignment #8
Assignment date: Monday Mar. 23, 2009
Due date: Monday Mar. 30, 2009
Problem1: (Noncircular conduit)
Air at a temperature of 50 and standard pressure flows from a furnace throug
ENSC 283 Week # 4, Tutorial # 3 Hydrostatic Forces
C
Problem 1: In the figure the surface AB is a
circular arc with a radius of 2 m. The
distance DB is 4 m. If water is the liquid
supported by the sur
ENSC-283
Assignment #9
Assignment date: Monday Mar. 30, 2009
Due date: Monday Apr. 6, 2009
Problem1: (Pressure drop in pipe flow)
The pressure drop, , for steady, incompressible viscous flow through a
ENSC 283 Week # 5, Tutorial # 4 Conservation of Mass
Problem 1: The open tank in the
figure contains water at 20C. For
incompressible flow, (a) derive an
analytic expression for dh/dt in terms
of (Q1,
ENSC 283 Week # 11, Tutorial # 7 Capillary Viscometer
Problem: A simple and accurate viscometer can be made from a length of
capillary tubing. If the flow rate and pressure drop are measured, and the
ENSC 283 Week # 8, Tutorial # 5 First Law Analysis
volume is connected to a high-pressure air
Problem 1: A tank of 0.1
line; both line and tank are initially at a uniform temperature of 20 . The
initi
4
(ii)
This curve is a right-handed helix with an elliptic projection on the xy-plane. As t
increases, the z-coordinate of the point on the helix corresponding to t increases also
increases, and the p
3
we have
V
T
= . Thus
P
k
P V T
kT
= 2
V T P
V
8.
k
P
V
k
=
kT
= 1.
VP
ex cos x sin x ex
cos x sin x
=
.
2x
e
ex
(ii) The chain rule gives g (y) = (sec2 (y2 + cos y) (2y sin y).
1
(1 + 3w2 cos(w3 +
2
2
1
2
1
1
2
5.
(i)
Call the function f ; so f (x, y) = ln(x+2y), and the domain is cfw_ (x, y) R2 | x+2y > 0 .
By denition the range of f is cfw_ ln(x + 2y) | (x, y) R2 and x + 2y > 0 . Observe that
2
2
(i)
1
2
1
1
1
2
(ii)
If there is a limit, it must be a single number with the property that values of f (x)
can be made as close as we like to by choosing x sufciently close to 1. The graph
shows
3
(3, 1, 0)
(3, 0, 1)
(iii) This is an ellipsoid with centre at (0, 0, 0). It has axial lengths of 4 (along the x-axis),
6 (along the y-axis) and 2 (along the z-axis). Equivalently, the semiaxes are 2
ENSC283 INTRODUCTION TO FLUID MECHANICS
27 February 2009
Midterm Examination
M. Bahrami
This is a 2-1/2 hours, closed-book and notes examination.
You are permitted to use one 8.5 in. 11 in. crib sheet
ENSC-283
Assignment #1
Assignment date: Monday Jan. 12, 2009
Due date: Monday Jan. 19, 2009
Problem: (Newtonian fluid shear stress)
The velocity distribution for the flow of a Newtonian fluid between
ENSC-283
Assignment #3
Assignment date: Monday Jan. 26 2009
Due date: Monday Feb. 2, 2009
Problem1: (force components on a curved submerged surface)
The gate shown in Fig. 1 is hinged at and has const
ENSC-283
Assignment #2
Assignment date: Monday Jan. 19, 2009
Due date: Monday Jan. 26, 2009
Problem1: (hydrostatic force on a plane circular surface)
The 4-m diameter circular gate of Figure 1 is loca
ENSC 283 Quiz #1
Jan. 27, 2009
Name: Student ID:.
Time: 45 minutes or less. Develop answers on available place. The quiz has 5% (bonus) of
the total mark. Closed books & closed notes.
Problem 1 (50%):
ENSC-283
Assignment #7
Assignment date: Monday Mar. 9, 2009
Due date: Monday Mar. 16, 2009
Problem1: (Fully developed laminar flow down an inclined plane surface)
A liquid flows down an inclined plane
ENSC-283
Assignment #6
Assignment date: Monday Feb. 23, 2009
Due date: Monday Mar. 2, 2009
Problem: (Flow under a sluice gate: hydrostatic pressure force)
Water in an open channel is held in by a slui
ENSC-283
Assignment #5
Assignment date: Monday Feb. 9, 2009
Due date: Monday Feb. 16, 2009
Problem1: (choice of control volume for momentum analysis)
Water from a stationary nozzle strikes a flat plat
ENSC 283 Week # 10, Tutorial # 6 Plane Couette Flow
h
Problem 1: A wide moving belt passes
through a container of a viscous liquid. The
belt moves vertically upward with a
constant velocity as illustr
ENSC 283 Week # 3, Tutorial # 2 Pressure Distribution in a Fluid
Problem 1: A manometer connects an oil pipeline and a water pipeline as
shown in the figure. Determine the difference in pressure betwe
ENSC 283 Week # 2, Tutorial # 1 Dimensionless Quantities
Problem 1: A dimensionless combination of
variables that is important in the study of
viscous flow through pipes is called the
Reynolds number,
ENSC 283 Week # 12, Tutorial # 8 Flow in an Irrigation System
Problem: Spray heads in an agricultural spraying system are to be supplied
with water through 50 of drawn aluminum tubing from an engine-d
ENSC 283 Week # 13, Tutorial # 9 Capillary Effect: Use of
Dimensional Matrix
Problem: When a small tube is dipped
Tube
into a pool of liquid, surface tension
causes a meniscus to form at the free
h
su
ENSC 283
INTRODUCTION TO FLUID MECHANICS
Assignment 4
Due date: Feb 18
Turn in your homework problems in order, and always write down all the steps that led you to
the answer. If you do not turn in a
EN
NSC 283
3
INTR
RODUC
CTION TO FLU
T
UID MEC
CHANIC
CS
Assign
nment 2
Due date: Jan 28
n
Turn in your homewor problems in order, an always wr
y
rk
nd
rite down al the steps that led y
ll
s
you to
th
ENSC 283
INTRODUCTION TO FLUID MECHANICS
Assignment 6
Due date: March 11
Turn in your homework problems in order, and always write down all the steps that led you to
the answer. If you do not turn in
ENSC 283
INTRODUCTION TO FLUID MECHANICS
Solution for Assignment 1
Problem 1:
A block of weight W is being pulled over a table by another weight W0, as shown in the figure. Find an
algebraic formula f