ChE 341 Homework 1
Assigned: 1/8/16
Due: 1/15/16
1. The function f(x) has the following properties:
2
=
2
(0) = (1) = 0
a) Determine f(x).
b) What is the value of k if the average value of f(x) is 1/3 over the interval 0 1?
2. Solve the following diffe
CHE 341 Homework #5 SOLUTION
Problem 1:
3.17 WILKES Flow in a concrete aqueduct
Solution
Problem 2:
3.18 WILKES Natural Gas Pipeline
Solution
Problem 3:
Water is being pumped from a reservoir to the top of a hill, where it is discharged, as shown in Fig.
But this is not true from conservation of mass, which concludes that
u1= u2. Therefore Bernoulli's is not sufficient to solve this problem.
with frictional dissipation accounting for the equal pressures.
F = g(z2  z1) i.e the frictional energy lost is e
01/06/2016
Wilkes 1.21.5, Welty chap.1
I. Macroscopic fluid mechanics
W1. Equilibrium properties of fluids
Wilkes 1.21.5, Welty chap.1
Mechanics of fluids is extremely important in
many areas of engineering and science.
Examples are:
Chemical Engineeri
01/29/2016
Wilkes 2.0, WWWR 3.0,4.0
1
Mass
balance
flux
Accumulation
Continuity Equation
1v1 A1 2 v2 A2
Energy
= + +
v1 A1 v2 A2 Q1 Q2
E = Energy per unit mass
2
flux
. dA +
By expanding ,

Heat
Accumulation
Work done
on the
system
=
=+ +
+ + .
01/20/2016
Wilkes 1.61.7, Welty chap.1
1
Buoyancy force is defined as the net upward
force exerted by a fluid on a submerged object.
Buoyancy force is equal to the weight of the fluid displaced by the
object and acts in the direction opposite to the weig
01/22/2016
Wilkes 1.61.7, Welty chap.1
1
Intermolecular forces are the attractive
forces between the molecules.
Molecules on the surface are less
bounded than molecules in the
bulk. There is therefore an energy
associated with a free surface.
More rigoro
01/27/2016
Wilkes 2.0, WWWR 3.0,4.0
1
2
r
No variation in y
direction
y
=
1
2
Velocity is varying in radial direction
partly due to the viscous effect
At r = R, v = 0 no  slip
r = R, v = 0 satisfy no  slip
r = 0, v v max
1
vavg = v dA
A A
3
4

=
5
C
01/13/2016
Wilkes 1.6, Welty chap.1
To derive the mathematical expression for the pressure
distribution, let us do a control volume analysis of infinitesimally
small volume of fluid in a cubed shape
Z
X
Y
For fluid at rest:
= 0;
= 0;
= 0;
= 0;
=
The
CHE 341 Homework #4 SOLUTION
Problem 1:
2.21 WILKES Branch Pipe
Solution
Problem 2:
2.23 WILKES Force on a Return Elbow
Solution
Problem 3:
A fireboat pump delivers water to a vertical nozzle with a
3:1 diameter ratio, as in the figure below. If friction
CHE 341 Homework #6 SOLUTION
Problem 1:
4.12 WILKES Packed Bed Flow
Solution
Problem 2:
4.15 WILKES Plate and frame filter
Solution
Problem 3:
4.33 WILKES Pressure Drop in Spherical Reactor
Solution
Problem 4:
4.35 WILKES Pumping into a filter
Solution
Problem 1 (30 pts total)(5 points each)
(a) If a flow of fluid out of a container generates angular momentum, a cfw_gig bug; must be
applied to prevent the container from rotating
(c) W allows for the possibility of curved fluid interfaces The pressure
in
01/15/2016
Wilkes 1.61.7, Welty chap.1
Forces on submerged objects
Z=D
Need to find the total horizontal
force exerted by water on the
D
dam wall to engineer the dam
dz
Z=0
W
W
dz
By integration
Buoyancy: the apparent loss of
weight of objects when subme
Last class recap:
01/11/2016
Wilkes 1.21.5, Welty chap.1
Fluid is at rest:
Z
Y
X
Z
Y
Force Balance in horizontal (y) direction
For complete force balance in vertical direction, we need
to understand an important vertical force :
Weight
Weight is the dow
Explorations on Thermal Conductivity of Different Materials
and Heat Transfer Induced by Different Surface Area
Team 16: Jianshan Liao, Qu Jin, Wenxuan Zhang, Yimeng Lyu, Tianshu Ji
Chemical Engineering Department, University of Michigan, Ann Arbor, MI, 4
Exam 1: Answer Key
1.
A. mdotout = 1.34 kg/min, vdotout =0.229 m3/min
B. Pabs = 127 kPa, Pgauge = 27 kPa
C. SiHCl3 = is limiting, % excess of H2 = 27.6%
2. Multiple Choice
A.
B.
C.
D.
E.
F.
G.
H.
B
B
D
B
C
C
B
D
3. Problem A:
Flow rate and composition
ChE 341: Fluids Homework 3
Due on 1/31/2014, 3.20pm
1. A ship of mass M travels uphill through a series of identical rectangular locks, each of equal
superficial (birds eye view) area A and elevation change h. The steps involved in moving from
one lock to
MaterialBalance/
MultipleUnit(splitstream)
ChE230
Prof.Thurber
The molar percent of A in stream 3 is _
mol% A in stream 1.
n3
n1
X mol A/mol
A.greater than
B.less than
C.equal to
n2
0.3 mol A/mol
Materialbalanceonmultipleunitsbasicguide
Mostindustrialpro
How does the price of cocoa change during past ten years and the reason
http:/worldcocoafoundation.org/wpcontent/uploads/CocoaMarketUpdateasof3.20.2012.pdf
Chocolate industry Manufacturing
Equipment Overview
http:/www.wasinc.com/chocolateequipment.p
Final Review
04/18/2016
1
General forces
du
dy
2
Fluid is at rest:
3
Buoyancy forces
Archemedess law
4
5
Mass balance:
Energy balance:
6
Over all energy balance:
7
Bernoulli Equation : At any two points on a streamline
Bernoullis equation in terms of fl
03/23/2016
Wilkes 8.0
1
Because of the share force near the pipe wall, a boundary layer forms on the inside
surface and occupies a large portion of the flow area as the distance downstream
from the pipe entrance increase. At some value of this distance th
1/25/2016
Wilkes 2.0, WWWR 3.0,4.0
1
2
Hot fluid
Cold fluid
Law of conservation governs mass, momentum and energy
Conserved entities can neither be created nor destroyed
For any transport quantity:
Conservation of mass (stirred tank example)
Hot fluid
Col