Applied Fluid Mechanics (7th Edition)
Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Textbook Question
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Chapter 14, Problem 14.1PP

Compute the hydraulic radius for a circular drain pipe running half full if its inside diameter is 300 mm.

Expert Solution & Answer
Check Mark
To determine

The hydraulic radius for a circular drain pipe running half full.

Answer to Problem 14.1PP

The hydraulic radius for a circular drain pipe running half full is R=75mm

Explanation of Solution

Given Information:

Pipe diameter, D=300mm

Hydraulic radius,

   R=AWP

Here, A = cross sectional area

WP = Wetted perimeter

Applied Fluid Mechanics (7th Edition), Chapter 14, Problem 14.1PP

Half cross sectional area is A=π8D2

   A=π8(300)2

   A=35342.92mm2

Wetted perimeter is given by,

   WP=π2D

   WP=π2(300)

   WP=471.24mm

We know,

   R=AWP

   R=35342.92471.24

   R=75mm

Conclusion:

The hydraulic radius for a circular drain pipe running half full is R=75mm

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Chapter 14 Solutions

Applied Fluid Mechanics (7th Edition)

Ch. 14 - Determine the normal discharge for an aluminum...Ch. 14 - A circular culvert under a highway is 6 ft in...Ch. 14 - A wooden flume is being built to temporarily carry...Ch. 14 - A storm drainage channel in a city where heavy...Ch. 14 - Figure 14.21 represents the approximate shape of a...Ch. 14 - Calculate the depth of flow of water in a...Ch. 14 - Calculate the depth of flow in a trapezoidal...Ch. 14 - A rectangular channel must carry 2.0m3/s of water...Ch. 14 - The channel shown in Fig. 14.22 has a surface of...Ch. 14 - A square storage room is equipped with automatic...Ch. 14 - The flow from two of the troughs described in...Ch. 14 - For a rectangular channel with a bottom width of...Ch. 14 - It is desired to carry 2.00m3/s of water at a...Ch. 14 - For the channel designed in Problem 14.23, compute...Ch. 14 - Prob. 14.25PPCh. 14 - Prob. 14.26PPCh. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - For the channel described in Problem 14.27,...Ch. 14 - Repeat Problem 14.28, except that the channel is...Ch. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - Prob. 14.31PPCh. 14 - Compute the flow area and hydraulic radius for a...Ch. 14 - Prob. 14.33PPCh. 14 - Prob. 14.34PPCh. 14 - Prob. 14.35PPCh. 14 - Prob. 14.36PPCh. 14 - Prob. 14.37PPCh. 14 - Prob. 14.38PPCh. 14 - A rectangular channel 2.00 m wide carries 5.5m3/s...Ch. 14 - Prob. 14.40PPCh. 14 - A triangular channel with side slopes having a...Ch. 14 - A trapezoidal channel with a bottom width of 3.0...Ch. 14 - Prob. 14.43PPCh. 14 - Determine the required length of a contracted weir...Ch. 14 - Prob. 14.45PPCh. 14 - Prob. 14.46PPCh. 14 - Compare the discharges over the following weirs...Ch. 14 - Prob. 14.48PPCh. 14 - For a Parshall flume with a throat width of 9 in,...Ch. 14 - Prob. 14.50PPCh. 14 - A flow rate of 50ft3/s falls within the range of...Ch. 14 - Prob. 14.52PPCh. 14 - A long-throated flume is installed in a...Ch. 14 - Prob. 14.54PPCh. 14 - Prob. 14.55PPCh. 14 - Prob. 14.56PPCh. 14 - Prob. 14.57PPCh. 14 - For a long-throated flume of design B in a...Ch. 14 - For a long-throated flume of design C in a...Ch. 14 - Prob. 14.60PPCh. 14 - Prob. 14.61PP
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