Water flows steadily and smoothly through an open-channel flow of varying width, as shown in Figure P10.21. The Froude number at the upstream station is subcritical and equal to F1, and the width and depth at this station are w1 and h1, respectively. At the point of minimum channel width (the “throat”), the Froude number F2 = 1, and the width and depth are w2 and h2. Downstream of the throat the channel expands to a constant width, and at this point the Froude number is F3 and the width and depth of the flow are w3 and h3. Note that h2/h1 = 3/4, and w3 = w1. State all your assumptions. (a) Find F1 (this is a number). (b) Find w2/w1 (this is a number). (c) Show that h1/h3 is approximately equal to 2.37.

As given At the throat F2=1 , h2h1=34 ;w1 is the width and h1is depth at the up stream and F1 is the…

Answered: Water flows steadily and smoothly…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Water flows steadily and smoothly through an open-channel flow of varying width, as shown in Figure P10.21. The Froude number at the upstream station is subcritical and equal to F₁, and the width and depth at this station are w₁ and h₁, respectively. At the point of minimum channel width (the “throat”), the Froude number F₂ = 1, and the width and depth are w₂ and h₂. Downstream of the throat the channel expands to a constant width, and at this point the Froude number is F₃ and the width and depth of the flow are w₃ and h₃. Note that h₂/h₁= 3/4, and w₃ = w₁. State all your assumptions.

(a) Find F₁ (this is a number).

(b) Find w₂/w₁ (this is a number).

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