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Water Hammer Tutorials: Solution To Sample Problem 1

The document provides sample problems and solutions for computing water flow properties over bumps in channels, including: - Depth, velocity, and flow rate for flow over a 10 cm bump where minimum depth is 50 cm - Specific energy, minimum specific energy, and height of hump needed for critical depth for a channel carrying 2.2 m^3/s at 1 m depth - Three additional practice problems are provided to compute velocities, depths, flow types, critical depths, specific energies, and hump heights.

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2K views4 pages

Water Hammer Tutorials: Solution To Sample Problem 1

The document provides sample problems and solutions for computing water flow properties over bumps in channels, including: - Depth, velocity, and flow rate for flow over a 10 cm bump where minimum depth is 50 cm - Specific energy, minimum specific energy, and height of hump needed for critical depth for a channel carrying 2.2 m^3/s at 1 m depth - Three additional practice problems are provided to compute velocities, depths, flow types, critical depths, specific energies, and hump heights.

Uploaded by

Nickson Koms
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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Water Hammer Tutorials

Sample Problem 1

Uniform water flow in a wide brick channel (n=0.015) with a slope of 0.02 moves over a 10 cm. bump
as shown. A slight depression in the water surface results. The minimum water depth over the bump
is 50 cm.

(i) Compute the depth of flow at the upstream side considering one meter width
(ii) Compute the velocity over the bump
(iii) Compute the flow rate per meter of width.

Solution to sample problem 1

(i) Depth of flow at the upstream side: Using Bernoullis Theorem neglecting bottom slope

1
CE 322 Wekk 4, Tutorial 2, 2020
(ii) Velocity over the bump:

(iii) Flow rate:

Sample Problem 2

A rectangular channel 2 m. wide carries 2.2 of water in sub critical uniform flow at a depth of
1.0 m.

(i) Compute the specific energy


(ii) Compute min. specific energy
(iii) What is the lowest transverse hump in the bottom such that a critical depth is attained at
the peak?

Solution

(i) Specific energy:

2
CE 322 Wekk 4, Tutorial 2, 2020
(ii) Min. specific energy

√ √

(iii) Height of hump:

3
CE 322 Wekk 4, Tutorial 2, 2020
Solve the following Problems

1. The figure shows a flow in a wide channel over a bump. The flow rate is 1.2 per meter
of channel width.

(i) Compute the velocity at the top of the bulge if h = 0.10 m.


(ii) Compute the water depth at the top of the bulge.
(iii) Compute the type of flow at the top of the bulge.

2. Water is moving with a velocity of 0.30 m/s and a depth of 1.22 m. It approaches a smooth
rise in the channel bed of 0.30 m. The channel is rectangular section.
(i) Compute the critical depth at the section where the depth is 1.22 m.
(ii) Compute the specific energy at that point.
(iii) What should be the depth of water after the rise in the channel bed?

3. A uniform flow occurs at a depth of 2.4 m. in a rectangular channel 3.6 m. wide with n = 0.015
laid on a slope of 0.0018. A smooth hump extending the entire with of the channel is to be
constructed in the floor of this channel on the downstream side which will produce a critical
depth over the hump.
(i) Determine the critical depth over the hump.
(ii) Compute the velocity of the water surface over the hump.
(iii) What would be the minimum height of this smooth hump.

4
CE 322 Wekk 4, Tutorial 2, 2020

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