Consider the steady open channel flow of water in the smooth constriction shown in plan view in Figure P10.46. At position 1, the depth is Y1, the width is B1 and the Froude number F1 = 4. A similar notation is used at positions 2, 3 and 4. A hydraulic jump is observed just downstream of position 2 where the Froude number F2 = 2. You may assume one-dimensional flow. (a) Find Y2, the depth at position 2, in terms of Y1. (b) Find Y3, the depth just downstream of the hydraulic jump, in terms of Y1. (c) Find F3, the Froude number just downstream of the hydraulic jump. (d) Find F4, the Froude number at the exit, given that Y3/Y4 = 1.2. (e) Find B4/B1.

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Answered: Consider the steady open channel flow…

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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Consider the steady open channel flow of water in the smooth constriction shown in plan view in Figure P10.46. At position 1, the depth is Y₁, the width is B₁ and the Froude number F₁ = 4. A similar notation is used at positions 2, 3 and 4. A hydraulic jump is observed just downstream of position 2 where the Froude number F₂ = 2. You may assume one-dimensional flow.

(a) Find Y₂, the depth at position 2, in terms of Y₁.

(b) Find Y₃, the depth just downstream of the hydraulic jump, in terms of Y₁.

(d) Find F₄, the Froude number at the exit, given that Y₃/Y₄ = 1.2.

(e) Find B₄/B₁.

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