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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).

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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).
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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