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Quiz 8 Report 10/23/2019

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Quiz 8 Report 10/23/2019

1. Summary

0 0

2

0

3 3

2 2

0 0.5 1 1.5 2 2.5 3 3.5

0-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10

Number of Students

Grade

Quiz 8 Grade Distribution

7.67

8.90

7.72

6.93

8.24 7.63

1.60

0.79

1.90 1.47 1.29 1.47

0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00

2019 2018 2017 2016 2015 2014

Grade

Year

Quiz 8 Comparison with Previous Years

Average Standard Deviation Average Over 2014-2019

Total number of students 14

Attended 12

Missed 2

Average grade 7.67

Standard deviation of grades 1.60

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2 2. Comments

 Many students used wrong boundary condition at 𝑟 = 𝑏

→ It should have Negative sign 𝑉𝑧(𝑏) = −𝑉

 Some of students couldn’t neglect the Pressure gradient term or Gravity term.

 Several students discretized velocity gradient incorrectly/

Ex) 𝜕

𝜕𝑟(𝑟𝜕𝑉𝑧

𝜕𝑟) → 𝜕𝑉𝑧

𝜕𝑟 + 𝑟𝜕2𝑉𝑧

𝜕𝑟2 But several student did 𝜕

𝜕𝑟(𝑟𝜕𝑉𝑧

𝜕𝑟) → 𝑟𝜕2𝑉𝑧

𝜕𝑟2

One student made mistake about Natural log function as shown in below.

1 ln (𝑎

𝑏)= ln (𝑏

𝑎) → wrong

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