The ratio of the upstream depth to downstream depth in a hydraulic jump for a rectangular, horizontal channel is given by: [√√ +8F² 1] Y₂ Y₁ = This was derived using the steady, momentum equation which is written as: Z₁ A₁ + gA₁ = Z₂ A₂ + gA₂ Note that the momentum equation above assumes that the bottom shearing force is negligible in a horizontal channel (i.e., zero bottom slope). a) Derive the hydraulic equation above (i.e., y2/yı).
The ratio of the upstream depth to downstream depth in a hydraulic jump for a rectangular, horizontal channel is given by: [√√ +8F² 1] Y₂ Y₁ = This was derived using the steady, momentum equation which is written as: Z₁ A₁ + gA₁ = Z₂ A₂ + gA₂ Note that the momentum equation above assumes that the bottom shearing force is negligible in a horizontal channel (i.e., zero bottom slope). a) Derive the hydraulic equation above (i.e., y2/yı).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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please answer item a
![The ratio of the upstream depth to downstream depth in a hydraulic jump for a
rectangular, horizontal channel is given by:
Y2 // [√√₁ +8F² 1]
Y₁
This was derived using the steady, momentum equation which is written as:
Z₁ A₁ +
gA₁
Z₂ A₂+
g A₂
Note that the momentum equation above assumes that the bottom shearing force
is negligible in a horizontal channel (i.e., zero bottom slope).
a) Derive the hydraulic equation above (i.e., y2/yı).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab6d78e6-7331-4d47-bb48-6117e64d5663%2Fa81806ea-38c7-4343-bc71-dc7f157b1e21%2Fdv0e3md_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The ratio of the upstream depth to downstream depth in a hydraulic jump for a
rectangular, horizontal channel is given by:
Y2 // [√√₁ +8F² 1]
Y₁
This was derived using the steady, momentum equation which is written as:
Z₁ A₁ +
gA₁
Z₂ A₂+
g A₂
Note that the momentum equation above assumes that the bottom shearing force
is negligible in a horizontal channel (i.e., zero bottom slope).
a) Derive the hydraulic equation above (i.e., y2/yı).
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