A 3' diameter ppe flows full when it carries 30 cfs. find the discharge and depth in the pipe if the velocity is 3fps

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A 3' diameter ppe flows full when it carries 30 cfs. find the discharge and depth in the pipe if the velocity is 3fps

Expert Solution
Step 1

Given data:

The diameter of pipe D0 =3ft

Full flow rate Q=30 cfs

The velocity of flow at any depth =3fps

Let the depth of flow = d

Flow rate =q

Draw the schematic diagram to understand the problem thoroughly.

Mechanical Engineering homework question answer, step 1, image 1

 

Step 2

Write the expression for discharge,

Mechanical Engineering homework question answer, step 2, image 1

Use the below expression to obtain the value of alpha,

Mechanical Engineering homework question answer, step 2, image 2

Substitute the required value in the above equation.

Mechanical Engineering homework question answer, step 2, image 3

Use the hit and trial method,

Mechanical Engineering homework question answer, step 2, image 4

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