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Ce 312A Engineering Utilities 2: College of Engineering Civil Engineering Department

This document appears to be a student assignment containing 5 hydraulic calculation problems. The problems calculate: 1) Pressure at a point below a reservoir surface 2) Discharge rate of water flowing through a pipe 3) Velocity of water flowing through a smaller diameter pipe 4) Pumping rate based on meter readings over time 5) Estimated pump horsepower given flow rate and discharge pressure

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Krizzel Jamilah Tuason
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50 views2 pages

Ce 312A Engineering Utilities 2: College of Engineering Civil Engineering Department

This document appears to be a student assignment containing 5 hydraulic calculation problems. The problems calculate: 1) Pressure at a point below a reservoir surface 2) Discharge rate of water flowing through a pipe 3) Velocity of water flowing through a smaller diameter pipe 4) Pumping rate based on meter readings over time 5) Estimated pump horsepower given flow rate and discharge pressure

Uploaded by

Krizzel Jamilah Tuason
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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College of Engineering

Civil Engineering Department


CE 312A ENGINEERING UTILITIES 2

Name: TUASON, KRIZZEL JAMILAH Remark:


SN/Course/Section: 202013666 Date of Submission: 10/03/2022
SSSSSSSSSSSSSSS10
Basic of Hydraulics
Show complete solution and box your final answer.

1. What is the pressure at a point 4.75 m below the surface of a reservoir? In kPa? In psi?
Density of Surface Reservoir = 0.93 g/cm3 = 0.0336 p/in3
h = 4.75 m = 187.008 inches

𝑝
𝐏 = γh = 0.0336 𝑖𝑛3 × 187.008 𝑖𝑛𝑐ℎ𝑒𝑠 = 𝟔. 𝟐𝟖𝟑 𝒑𝒔𝒊 = 43.32 kPa

2. A pipe 12 inches in diameter has water flowing through it at 3 m per second. What is the discharge in
cubic meter per second (cms)? In liter per minute (lpm)?

Conversion: 12 inches to meters = 0.305 meters

𝜋 𝜋
𝐴 = 4 𝑑2 = 4 0.3052 = 𝟎. 𝟎𝟕𝟑 𝒎𝟐
Velocity = 3m/second
Q = Av = (0.073)(3) = 0.219 cm/s

Conversion:

0.219𝑚3 1000 𝑙𝑖𝑡𝑒𝑟𝑠 60 𝑠𝑒𝑐𝑠


𝑠𝑒𝑐
× 𝑚3
× 1 𝑚𝑖𝑛
= 𝟏𝟑, 𝟏𝟒𝟎 𝒍𝒊𝒕𝒆𝒓𝒔/𝒎𝒊𝒏

3. A pipe 12 inches in diameter is connected to a 6-inch diameter pipe. The velocity of the water in the
12-inch pipe is 3 fps. What is the velocity in the 6-inch pipe in m/s?

Conversion:

12 inch = 1 ft
6 inch = 0.5 ft ; 𝑉1 = 3 𝑓𝑝𝑠 & 𝑉2 = ?

𝜋 2 𝜋 2 3𝑓𝑡 𝒇𝒕𝟑
𝐴1 = 𝑑 = 1 = 0.785𝑓𝑡 2 ( ) = 𝟐. 𝟑𝟓𝟓
4 4 𝑠 𝒔

𝜋 2 𝜋 2 𝒇𝒕𝟑
𝐴2 = 𝑑 = 0.5 = 0.196𝑓𝑡 2 (𝑥) = 𝟐. 𝟑𝟓𝟓
4 4 𝒔
𝒇𝒕
𝑥 = 𝟏𝟐. 𝟎𝟏𝟓
𝒔

𝑓𝑡 0.304 𝑚
12.015 × = 𝟑. 𝟔𝟓𝟖 𝒎/𝒔
𝑠 1 𝑓𝑡
4. The meter on the discharge side of the pump reads in hundreds of gallons. What is the pumping rate if
the meter shows a reading of 110 at 2:00 p.m. and 320 at 2:30 p.m.?

𝑔𝑎𝑙𝑙𝑜𝑛𝑠 110 + 320


𝑃𝑢𝑚𝑝𝑖𝑛𝑔 𝑅𝑎𝑡𝑒 = = = 𝟏𝟒. 𝟑𝟑𝟑 𝒈/𝒎
𝑚𝑖𝑛𝑢𝑡𝑒 30 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

5. Determine the estimated pump horsepower based on the 200 gpm flow rate and 100 ft discharge
pressure at the pump.

head(ft) x flow rate(gpm) 100 𝑓𝑡 × 200 𝑔𝑝𝑚


Hydraulic Power, HP = = = 𝟓. 𝟎𝟓𝟔 𝑯𝑷
3956 3956

CE 312A Engineering Utilities 2

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