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Lab 1

(1) The document summarizes an experiment to test Bernoulli's equation using a hydraulic bench. (2) A group of 8 students measured flow rates and calculated variables like velocity head and area of flow through pipes of varying widths on the bench. (3) The results showed that the total energy was equal at different points in the system, supporting Bernoulli's principle, and that there was a small head loss between different points due to friction.

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Kenan Jeph Dela Torre
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163 views5 pages

Lab 1

(1) The document summarizes an experiment to test Bernoulli's equation using a hydraulic bench. (2) A group of 8 students measured flow rates and calculated variables like velocity head and area of flow through pipes of varying widths on the bench. (3) The results showed that the total energy was equal at different points in the system, supporting Bernoulli's principle, and that there was a small head loss between different points due to friction.

Uploaded by

Kenan Jeph Dela Torre
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Laboratory No.

Bernoulli’s Equation

Name: Gero, Micah Jhilyn T.

Group Members:

Beloro, Idrelle
Buenafe, Kathleen Faith
Credito, Rother
Dela Torre, Kenan
Melaya, Michael
Peralta, Jhovert
Rockwell, France
Sotoza, Kerrrvinjay

Objective

To determine that the energy between two points are equal and to determine the existence of Head Loss
equation.

Equipment

 Hydraulic Bench
 Bernoulli’s Apparatus
 Constant and Variable Head tank
 Beaker or Graduated cylinder
 Stop watch

Procedures

(1) Assemble the Hydraulic bench as seen from the diagram

(2) Turn on the bench and allow water to flow, wait until the water level stabilizes

(3) Measure the flow rate by allowing water to flow at a certain volume over time.
Data

Pipe Width L (distance from pt. 6) Manometer Head Area of Flow Flow Rate Velocity Head
(mm) (mm) (m) (m2) (m3/s) (m/s)
1 125 0.325 1.026 x10-4 0.374
2 100 0.305 0.901 x10-4 0.425
3 75 0.290 0.777 x10-4 0.493
4 56 0.268 0.682 x10-4 0.562
5 25 0.233 0.528 x10-4 0.726
6 6.35 0 0.161 0.403 x10-4 3.833 x10-5 0.951
7 25 0.185 0.528 x10-4 0.726
8 56 0.223 0.682 x10-4 0.562
9 75 0.238 0.777 x10-4 0.493
10 100 0.246 0.901 x10-4 0.425
11 125 0.250 1.026 x10-4 0.374

Computations

Flow Rate = volume/time = 0.004 m3/104.35s = 3.833 x10-5 m3/s

Height

h1&11 = 125 tan (4°29’) = 9.801 mm


h2&10 = 100 tan (4°29’) = 7.841 mm
h3&9 = 75 tan (4°29’) = 5.881 mm
h4&8 = 56 tan (4°29’) = 4.391 mm
h5&7 = 25 tan (4°29’) = 1.960 mm
h6 = 0 tan (4°29’) = 0 mm

Area of Flow = (width) (6.35+h)

A1&11 = (6.35) (6.35+9.801) = 102.559 mm 2 = 1.026 x10-4 m2


A2&10 = (6.35) (6.35+7.841) = 90.113 mm2 = 0.901 x10-4 m2
A3&9 = (6.35) (6.35+5.881) = 77.667 mm2 = 0.777 x10-4 m2
A4&8 = (6.35) (6.35+4.391) = 68.205 mm2 = 0.682 x10-4 m2
A5&7 = (6.35) (6.35+1.960) = 52.769 mm2 = 0.528 x10-4 m2
A6 = (6.35) (6.35+0) = 40.323 mm2 = 0.403 x10-4 m2
Velocity Head = flow rate/area

V1&11 = (3.833 x10-5) / (1.026 x10-4) = 0.374 m/s


V2&10 = (3.833 x10-5) / (0.901 x10-4) = 0.425 m/s
V3&9 = (3.833 x10-5) / (0.777 x10-4) = 0.493 m/s
V4&8 = (3.833 x10-5) / (0.682 x10-4) = 0.562 m/s
V5&7 = (3.833 x10-5) / (0.528 x10-4) = 0.726 m/s
V6 = (3.833 x10-5) / (0.403 x10-4) = 0.951 m/s

𝑃1 𝑉2
1 𝑃2 𝑉2
2
Head Loss = + 2𝑔 = + 2𝑔 + 𝐻𝐿1−2
𝛿 𝛿

0.325 (0.374)2 0.250 (0.374)2


Pt. 1 vs. Pt. 11 =
9.81
+ 2(9.81)
= 9.81
+ 2(9.81)
+ HL1−11 = 0.00765 m

0.305 (0.425)2 0.246 (0.425)2


Pt. 2 vs. Pt. 10:
9.81
+ 2(9.81)
= 9.81
+ 2(9.81)
+ HL2−10 = 0.00601 m

0.290 (0.493)2 0.238 (0.493)2


Pt. 3 vs. Pt. 9: + = + + HL3−9 = 0.00530 m
9.81 2(9.81) 9.81 2(9.81)

0.268 (0.562)2 0.223 (0.562)2


Pt. 4 vs. Pt. 8:
9.81
+ 2(9.81)
= 9.81
+ 2(9.81)
+ HL4−8 = 0.00459 m

0.233 (0.726)2 0.185 (0.726)2


Pt. 5 vs. Pt. 7:
9.81
+ 2(9.81)
= 9.81
+ 2(9.81)
+ HL5−7 = 0.00489 m
Documentation

Manometer 1 (0.325m) Manometer 2 (0.305m) Manometer 3 (0.290m) Manometer 4 (0.268m)

Manometer 5 (0.233m) Manometer 6 (0.161m) Manometer 7 (0.185m) Manometer 8 (0.223m)

Manometer 9 (0.238m) Manometer 10 (0.246m) Manometer 11 (0.250m)


Conclusion

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