ChE 341 Discussion 12
Assessment
Group #, names, zodiac signs, etc
Tank draining with boundary layer
For a laminar boundary layer on a flat plate (Section 8.2 WILKES), the following expression
describ
l 5 : Vamp. EEWEW 0H: 3H . TR?! :CQVu/mimm imuiacmi waumwwudqg-w
I. :3 4.: A. :3 = M; Ugaigggmygwaa; V225;
U Practice Problem
Suppose you have two vectors u and v where
u = 3xzex yzey + 592
v = yz
ChE 341 Discussion 12
Assessment
Group #, names, zodiac signs, etc
Tank draining with boundary layer
For a laminar boundary layer on a flat plate (Section 8.2 WILKES), the following expression
describ
The U-tube shown in Fig. E1.4 contains oil and water columns , between which there is a trapped air
bubble. For the indicated heights of the columns, find the specific density of the oil.
a) Using the
ChE 341 Discussion 6
Name:
Group number:
DISCUSSION 6 SOLUTION
Practice Problem: Terminal velocity of hailstones
Occasionally, 1.0-in. diameter hailstones fall in Ann Arbor. What is their terminal vel
Discussion 3 (01/24/2016) SOLUTIONS
Practice Problem: Transient behavior of a stirred tank:
A well stirred tank of volume V = 2m3, shown in the figure, is initially filled with brine in which the init
ChE 341 Discussion 3
Name:
Group number:
Practice Problem: Transient behavior of a stirred tank:
A well stirred tank of volume V = 2m3, shown in the figure, is initially filled with brine in which the
Practice Problem: Ventilation Duct
An existing horizontal ventilation duct of length L has a square cross section of side d. It is to be
replaced with a new duct of rectangular cross section, d 2d. Du
Discussion 8 3-7-17
Practice Problem
Suppose you have two vectors u and v where
= 3 2 + 5
= 2 + ( )
And a scalar a where
= 2 2 2 + 3
Solve for:
a.
b. u
c.
d.
e.
DISCUSSION 1 SOLUTION
The U-tube shown in Fig. E1.4 contains oil and water columns , between which there is a trapped air
bubble. For the indicated heights of the columns, find the specific density of
ChE 341 Discussion 10
Name:
Group number:
Assessment Problem:
Parallel-disk rheometer
The Figure shows the diametric cross section of a
viscometer, which consists of two opposed circular
horizontal di
DISCUSSION 2 SOLUTION
Problem 1
When weighed in air, a paperweight weighs 6.9N. When completely immersed in water however, it
weighs 4.3N. Find the volume of the paperweight.
Solution
The paperweight
Instructor Notes
Discussion 7
ChE 341
February 21, 2017
Water at 20C flows through a packed bed filled with spherical particles ( = 50 mm, =
kg
4500 m3 ). The dry packed bed density is 1500 kg/m3 and
ChE 341 Discussion 6
Name:
Group number:
Practice Problem: Terminal velocity of hailstones
Occasionally, 1.0-in. diameter hailstones fall in Ann Arbor. What is their terminal velocity in ft/s? Take CD
ChE 341
Discussion 4 Solutions
January 31, 2017
Problems
The vehicle below is a fluid jester powered solely by water from a reservoir connected to a nozzle and
mounted on a wheeled platform.
a) Neglec
ChE 341 Discussion 9
Name:
Group number:
Assessment Problem:
Rotating rod in a fluid
The figure on the right shows a horizontal cross section of a long vertical
cylinder of radius a that is rotated st
ChE 341
Assessment
Discussion 7
Group #_
February 21, 2017
Water at 20C flows through a packed bed filled with spherical particles ( = 50 m, =
kg
4500 m3 ). The packed bed density is 1500 kg/m3 and th
ChE 341
Discussion
January 31, 2017
The vehicle below is a fluid jester powered solely by water from a reservoir connected to a nozzle and
mounted on a wheeled platform.
a) Neglecting friction within
ChE 330 Discussion 11
Assessment
Group #, names, zodiac signs, etc
Uniform stream and line sink
In this two-dimensional problem, give your answers in terms of and coordinates.
a. (Sink only) A line si
Problem 1
When weighed in air, a paperweight weighs 6.9N. When completely immersed in water however, it
weighs 4.3N. Find the volume of the paperweight
Problem 2
Surface tension is responsible for num
ChE 341 Discussion 9
Name:
Group number:
Assessment Problem:
Rotating rod in a fluid
The figure on the right shows a horizontal cross section of a long vertical
cylinder of radius a that is rotated st
ChE 330 Discussion 11
Solutions
Group #, names, zodiac signs, etc
Uniform stream and line sink
In this two-dimensional problem, give your answers in terms of and coordinates.
a. (Sink only) A line sin
ChE 341 Lecture 6
Fluid Motion Mass Balances
Fluid Motion
Conservation of Mass: [Rate mass in] [Rate mass out] = [mass accumulation rate]
Mass
Energy
Momentum
Conservation of Mass:
Note: dot produ
ChE 341 Lecture 5
Surface Tension
http:/www.iamnotthebabysitter.com/water-surface-tension/
Surface Tension
Ex. Capillary rise
Surface tension direction
Ex. Water drop in space shuttle
Skylab 2 Scie
ChE 341 Lecture 4
Acceleration
Buoyancy
Variable Density
Accelerating Frame of Reference
Note: Static free surface is always perpendicular to the (g-a) vector (P)
Ex. Tank or cup in a car when will
ChE 341 Lecture 3
Statics continued
Rules for statics:
1. P = -gh g = -gey and ,g are constants
2. Pressure @ same vertical height is same
3. Flat interface same pressure on both sides
Examples:
Baro
Welcome to
ChE 341: Fluid Mechanics
Lecture 1
Introduction
Course Structure, personnel introduction and the all important
question why are we here?
Who am I?
Dr. Trent Silbaugh (lecturer, not prof.)