96. Flow Speed in a Channel The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation, V = 1.486* pn Here V is the velocity of the flow in f/s; A is the cross- sectional area of the channel in square feet; S is the down- ward slope of the channel; p is the wetted perimeter in feet (the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A = 75 ft², S = 0.050, p = 24.1 ft, and n = 0.040. (a) Find the speed at which water flows through the canal. (b) How many cubic feet of water can the canal discharge per second? [Hint: Multiply V by A to get the volume of the flow per second.] 20 ft |5 ft –10 ft→|

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Flow Speed in a Channel The speed of water flowing in a
channel, such as a canal or river bed, is governed by the
Manning Equation,

96. Flow Speed in a Channel The speed of water flowing in a
channel, such as a canal or river bed, is governed by the
Manning Equation,
V = 1.486*
pn
Here V is the velocity of the flow in f/s; A is the cross-
sectional area of the channel in square feet; S is the down-
ward slope of the channel; p is the wetted perimeter in feet
(the distance from the top of one bank, down the side of the
channel, across the bottom, and up to the top of the other
bank); and n is the roughness coefficient (a measure of the
roughness of the channel bottom). This equation is used to
predict the capacity of flood channels to handle runoff from
heavy rainfalls. For the canal shown in the figure, A = 75 ft²,
S = 0.050, p = 24.1 ft, and n = 0.040.
(a) Find the speed at which water flows through the canal.
(b) How many cubic feet of water can the canal discharge
per second? [Hint: Multiply V by A to get the volume
of the flow per second.]
20 ft
|5 ft
–10 ft→|
Transcribed Image Text:96. Flow Speed in a Channel The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation, V = 1.486* pn Here V is the velocity of the flow in f/s; A is the cross- sectional area of the channel in square feet; S is the down- ward slope of the channel; p is the wetted perimeter in feet (the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A = 75 ft², S = 0.050, p = 24.1 ft, and n = 0.040. (a) Find the speed at which water flows through the canal. (b) How many cubic feet of water can the canal discharge per second? [Hint: Multiply V by A to get the volume of the flow per second.] 20 ft |5 ft –10 ft→|
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