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Results & Analysis: Test 1, V 10 M/s Manometer Height (Tube 20), 36.5 MM

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RESULTS & ANALYSIS

Test 1, V = 10 m/s

Manometer height (tube 20), ℎ0 = 36.5 mm

Angle, θ 𝑃 − 𝑃𝑂
Location h (mm) ℎ − ℎ𝑜 (𝑚𝑚) 𝑃 − 𝑃𝑜 (𝑃𝑎)
(°) 𝐶𝑃 = 𝐶𝑃 𝑐𝑜𝑠 𝜃
1
𝜌 𝑉2
2

1 0 36.7 0.2 2.0 0.00004 4.00 × 10−5

2 15 36.8 0.3 3.0 0.00006 5.80 × 10−5

3 30 37.0 0.5 5.0 0.00010 8.66 × 10−5

4 45 37.6 1.1 11.0 0.00022 1.56 × 10−4

5 60 37.8 1.3 13.0 0.00026 1.30 × 10−4

6 75 37.7 1.2 12.0 0.00024 6.21 × 10−5

7 90 37.6 1.1 11.0 0.00022 0.00

8 105 37.6 1.1 11.0 0.00022 −5.69 × 10−5

9 120 37.7 1.2 12.0 0.00024 −1.20 × 10−4

10 135 37.6 1.1 11.0 0.00022 −1.56 × 10−4

11 150 37.7 1.2 12.0 0.00024 −2.08 × 10−4

12 165 37.6 1.1 11.0 0.00022 −2.13 × 10−4

13 180 37.7 1.2 12.0 0.00024 −2.40 × 10−4

Table 1: Result for Test 1


Test 2, V = 20 m/s

Manometer height (tube 20), ℎ0 = 36.3 mm

Angle, θ 𝑃 − 𝑃𝑂
Location h (mm) ℎ − ℎ𝑜 (𝑚𝑚) 𝑃 − 𝑃𝑜 (𝑃𝑎)
(°) 𝐶𝑃 = 𝐶𝑃 𝑐𝑜𝑠 𝜃
1 2
2 𝜌𝑉

1 0 36.7 0.4 4.0 0.00002 2.00 × 10−5

2 15 36.8 0.5 5.0 0.00003 2.90 × 10−5

3 30 37.8 1.5 15.0 0.00008 6.93 × 10−5

4 45 39.2 2.9 29.0 0.00015 1.06 × 10−4

5 60 40.4 4.1 41.0 0.00021 1.05 × 10−4

6 75 39.8 3.5 35.0 0.00018 4.66 × 10−5

7 90 40.0 3.7 37.0 0.00019 0.00

8 105 39.9 3.6 36.0 0.00018 −4.66 × 10−5

9 120 40.1 3.8 38.0 0.00019 −9.50 × 10−5

10 135 39.9 3.6 36.0 0.00018 −1.27 × 10−4

11 150 40.2 3.9 39.0 0.00020 −1.73 × 10−4

12 165 39.9 3.6 36.0 0.00018 −1.74 × 10−4

13 180 39.9 3.6 36.0 0.00018 −1.80 × 10−4

Table 2: Result for Test 2


SAMPLE CALCULATION
For test 1 at location 4 (45°):

ℎ − ℎ𝑜 = 37.6 𝑚𝑚 − 36.5 𝑚𝑚 = 1.1 𝑚𝑚

𝑃 − 𝑃𝑜 = 𝜌 𝑔 ( ℎ − ℎ0 ) = (1000)(9.81)(0.0011) = 11 𝑃𝑎

𝑃 − 𝑃𝑂 11
𝐶𝑃 = = = 0.00022
1 2 1
𝜌 𝑉 (1000) (102 )
2 2

𝐶𝑃 𝑐𝑜𝑠𝜃 = (0.00022) cos 45 = 1.56 × 10−4

For test 2 at location 4 (45°):

ℎ − ℎ𝑜 = 39.2 𝑚𝑚 − 36.3 𝑚𝑚 = 2.9 𝑚𝑚

𝑃 − 𝑃𝑜 = 𝜌 𝑔 ( ℎ − ℎ0 ) = (1000)(9.81)(0.0029) = 29 𝑃𝑎

𝑃 − 𝑃𝑂 29
𝐶𝑃 = = = 0.00015
1 2 1 2
(1000) (20 )
2 𝜌𝑉 2

𝐶𝑃 𝑐𝑜𝑠𝜃 = (0.00015) cos 45 = 1.06 × 10−4


Test 1

Graph of Coefficient of Pressure against Angle, θ (°)


0.0003

0.00025
Coefficient of Pressure

0.0002

0.00015

0.0001

0.00005

0
0 20 40 60 80 100 120 140 160 180 200
Angle, °

Test 2

0.00025

0.0002
Coefficient of Pressure,

0.00015

0.0001

0.00005

0
0 20 40 60 80 100 120 140 160 180 200
Angle, °

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