Assignment 6 Special Problems
Problem 1.
The air cushion vehicle shown brings in air through a fan and discharges it at a
high velocity through an annular skirt with small ground clearance h. If the
weight of the vehicle is W, obtain an expression for the
CHEE 3363-Fluid Mechanics
Assignment 7
Pro 5.5
For a flow in the plane, the component of velocity is given by = 3 3 2 . Determine a
possible component for steady, incompressible flow. Is it also valid for unsteady,
incompressible flow? Why? How many possi
CHEE 3363-Fluid Mechanics
Assignment 9
Pro 6.52
Water flows from a very large tank through a 5-cm-diameter tube. The dark liquid in the
manometer is mercury. Estimate the velocity in the pipe and the rate of discharge from the tank.
(Assume the flow is fr
CHEE 3363-Fluid Mechanics
Assignment 3
Problem 3.27
Water flows downward along a pipe that is inclined at 30below the horizontal, as shown.
Pressure difference is due partly to gravity and partly to friction. Derive an algebraic
expression for the pressur
Angular Momentum Balance
D
(r mv ) M
Dt
N r mv,
RTT:
rv
dN
dV ( v n) dA
dt sys CV
A
D ( r mv )
Dt
(r v)dV CS (r v)( v n) dA M
t CV
CV
(r v)dV CS (r v)( v n) dA
t CV
r ( pn) dA
CS
(r g) dV M
CV
Other
Assignment 11 - Turn in on Monday in class or by Tuesday pm in my dept mail box
Read Chapter 13.
Problems 13.4, 13.7, 13.27; you should also look at Problem 13.8 and determine a strategy for solution.
Assignment 10 - Due Monday, Nov. 22
Read Chapter 12, all sections except 12.4 and 12.5 (the latter are optional reading).
1. Work through the notes "External Viscous Flow" and show all intervening steps in the developments from page 9 to page 13.
2. Same
Assignment 8 - Due Monday, November 8
1. For the problem described in Prob. 8.6, determine the velocity field for a power-law fluid in terms of delP/L, R, rho, gz, m, n, and the velocity V of the wire ). Also, determine the volumetric flow rate and the dr
Assignment 8 Solution
V
p
L
Prob. 1.
( P PL )
1d
dP
( r rz ) =
= K , K = 0
r dr
dz
L
P p g z z = p + gz
r rz
d ( r
r
rz
) = K
0
rdr
z
Rm
1
rz = K ( r Rm )
2
g
where Rm is the radial position of
the maximum in the flow field where
the shear stress is ze
Assignment 7 - Due Wednesday, Oct. 27
Read: Ch. 7, Sections 7.1, 7.2, 7.3 (only the Units of Viscosity), 7.4, 7.5
Problems 7.14, 7.17
Read: Ch. 8, all sections
Special Problem 1: Work through all steps of Section 8.1; show the algebra, etc. for all step
Assignment 4 Additional Problems
1.
The velocity distribution for laminar flow in a long circular tube
of radius R is given by
r2
= vmax 1 2
vz
R
r
R
z
For this flow determine:
a. The average velocity
b. The volumetric flow rate
c. The momentum flux (l
Assignment 3 Solution
Velocity:
vx 10 x 20 , v y 10 y
(ft/s)
dy v y
10 y
dx v x
(10 x 20)
Streamline:
ln y ln(10 x 20) C1
or
ln[ y (10 x 20)] C1
eC1
C
y
(10 x 20) (10 x 20)
C 60
At (1,2):
7.000
6.000
5.000
15
4.000
30
3.000
60
120
2.000
1.000
0.000
0.0
Assignment 3 Kinematics Problem
The velocity for a steady, incompressible flow in the xy plane is given
by:
v ( Ax B)i ( Ay ) j
where A = 10 s-1 and B = 20 ft/s. Plot a few streamlines in the xy
plane, Including the one that passes through the point (x,y)
CHEE 3363 - Fluid Mechanics
Fall, 2010
Assignment 1
Due: Wednesday, September 1, 2009
Problems based on lecture notes
1. Find the component of the velocity vector v
vector A
3i
2i
3 j 6k in the direction defined by the
4 j 9k .
2. If work is defined by
Wo
Assignment 1 - Solution
1.
A
A
vA
3.
2i 3j 6k ,
eA
2.
v
v eA
A
3i 4 j 9k
1
( 3i 4 j 9k )
106
72
106
Work = F r
Given:
v
Determine:
9 ft lb f
vr e r
vx
v er
vz k
v x ( vr , v ), v y
v y ( vr , v )
Solution:
vx
iv
vr cos
vy
jv
vr sin
vr ( i e r ) v ( i e )
Assignment 2
From text:
Prob. 2.3 (can work as group of 3 students); there is an error in the book on thie problem.
You should use Excel, MatLab, MathCad, Mathematica, or some other package to assist you in the
calculations and the plotting. The velocity