Sedimentation

1
Sedimentation
drag
buoyancy
gravity
2
Particle Shape Analysis
Stokes Spherical laminar flow
Solution -- calculate V8 check Re laminar fd
for non-laminar Iterate solution -- fd 0.44
(turbulent) 18.5/Re0.6 (in between) Han Method
3
Particle Shape Analysis
General Graphical Method
Known particle size
Known terminal velocity
Example 150 mm corundum particle settling in
water
Re5
V83.33 cm/s
4
(No Transcript)
5
Particle Shape Analysis
Acceleration (laminar)
Acceleration (turbulent)
6
Particle Shape Analysis
Acceleration example coal (500 mm diameter)
falling in air How much distance until terminal
velocity?
V82.9 m/s
Re100
7
Statistics
8
Statistics
9
Statistics
Basic Statistics
Mean Standard Deviation Confidence interval
10
Statistics
Hypothesis Testing

• Hypothesis Testing how to choose between
  different possibilities
• Obtain Data
• Null Alternative Hypothesis
• Level of Significance
• Test Statistic
• Decision Rule
• Conclusion

11
Statistics
Data
Sample MPG
1 30.5
2 30.1
3 31.7
4 33.4
5 32.2
6 32.7
7 34.2
8 35.4
9 31.8
10 30.7
11 34.6
12 33.9
Mean, s, n 32.6, 1.7, 11
12
Statistics
Null and Alternate Hypotheses
H0 sample comes from a population with mean
greater than 32.0 mpg
H1 sample comes from a population with mean less
than or equal to 32.0 mpg
Level of Significance chance of rejecting H0
when it is true Type I error a95
One-tail vs. Two-tail 1-a
1-a/2 0.05 0.025
13
Statistics
Test Statistic
95 confidence, n11 gt t1-a,111.796
Decision Rule
t(1.207) lt t1-a,11 (1.796) gt reject Ho The gas
mileage is not greater than 32 mpg
32.0 is in confidence interval reject Ho
14
Statistics
Null and Alternate Hypotheses
H0 sample comes from a population with mean less
than 33.0 mpg
H1 sample comes from a population with mean
greater than or equal to 33.0 mpg
Level of Significance chance of rejecting H0
when it is true Type I error a90
One-tail vs. Two-tail 1-a
1-a/2 0.1 0.05
15
Statistics
Test Statistic
90 confidence, n11 gt t1-a,111.363
Decision Rule
t(-0.805) lt t1-a,11 (1.363) gt accept Ho The
gas mileage is not greater than 33 mpg
33.0 is in confidence interval accept Ho
16
Statistics
Decision Rules
a95
a95
a97.5
a97.5