The discharge Q over a V-shaped notch is known to depend on the angle 8 of the notch, the head H of the water surface, the velocity of approach V, and the acceleration due to gravity g. Determine the dimensionless form of the discharge equation.

The discharge Q over a V-shaped notch is known to depend on the angle 8 of the notch, the head H of the water surface, the velocity of approach V, and the acceleration due to gravity g. Determine the dimensionless form of the discharge equation.

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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Storm Sewers and Detention

The storm drains system transports rainwater or stormwater and other runoff from roads, parking lots, and roof downpipes directly to nearby creeks, rivers, or the sea without any treatment.

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Hello can I get the worked solution please? answer provided

2.
The discharge Q over a V-shaped
notch is known to depend on the
angle 8 of the notch, the head H
of the water surface, the velocity
of approach V, and the
acceleration due to gravity g.
Determine the dimensionless form
of the discharge equation.
V
H²/DH = fn(0₁-1₁)
gH
Ans:

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Step 1: State the given data

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Step 2: Formulate the π terms

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Step 3: Derive the first π term

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Step 4: Derive the second π term

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Step 5: Derive the third π term

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Step 6: derive the eqn

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