Water is flowing at a depth d of 12.0 ft with a flow rate per unit width q of 100 ft2/s in a channel of rectangular cross section. a. Calculate (using a root finder) the flow depth in feet over a smooth upward step in the channel bottom of 2 ft in height. (See the figure below.) b. Calculate (using a root finder) the flow depth in feet over a smooth downward step in the channel bottom of 2 ft in height. Draw a figure showing this, like the one below. c. Calculate the maximum possible height in feet of a smooth upward step in the channel bottom that would not cause a choke.
Water is flowing at a depth d of 12.0 ft with a flow rate per unit width q of 100 ft2/s in a channel of rectangular cross section. a. Calculate (using a root finder) the flow depth in feet over a smooth upward step in the channel bottom of 2 ft in height. (See the figure below.) b. Calculate (using a root finder) the flow depth in feet over a smooth downward step in the channel bottom of 2 ft in height. Draw a figure showing this, like the one below. c. Calculate the maximum possible height in feet of a smooth upward step in the channel bottom that would not cause a choke.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Water is flowing at a depth d of 12.0 ft with a flow rate per unit width q of 100 ft2/s in a channel of rectangular cross section.
a. Calculate (using a root finder) the flow depth in feet over a smooth upward step in the channel bottom of 2 ft in height. (See the figure below.)
b. Calculate (using a root finder) the flow depth in feet over a smooth downward step in the channel bottom of 2 ft in height. Draw a figure showing this, like the one below.
c. Calculate the maximum possible height in feet of a smooth upward step in the channel bottom that would not cause a choke.
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