Answered: Yo- Vo усх) — Vс) - Bump h(x)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

In Fig. let V₀ = 1 m/s and y₀ = 1 m. If the maximum
bump height is 15 cm, estimate (a) the Froude number over
the top of the bump and (b) the maximum depression in the
water surface.

Expert Solution

Step 1

Given data:

The bump height, Δh = 15 cm.
The approach velocity is, V₀ = 1 m/s.
The approach water depth is, y₀ = 1 m.

Draw the diagram showing variables in it.

Step 2

Calculate the energy head (E).

Here, Δh is the maximum bump height, V₀ is approach velocity and y₀ is the approach water depth.

Substitute the values of Δh, V₀, and y₀ in equation (1).

Step 3

Calculate the water depth over the bump using equation:

Here, y₂ is the depth over the bump.

Substitute the values of E, V₀,and y₀, in equation (2).

Step 4

Calculate the velocity over the bump using equation,

Here, V₂ is the velocity over bump.

Substitute the value of y₀, V₀, and y₂ in equation (3).

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