The change in water level.
Whether the flow over the bump is sub or supercritical.
Answer to Problem 100P
The rise in water level over the bump is
The flow over the bump is supercritical.
Explanation of Solution
Given information:
Velocity of water flow is
Write the expression for the Froude number.
Here, the velocity of fluid is
The figure below shows the rise over the bump.
Figure-(1)
Write the expression for the critical flow depth.
Write the expression for the specific energy before the bump.
Write the expression for the specific energy over the bump.
Here, the height of the bump is
Write the expression for the critical specific energy.
Here the critical flow depth is
Write the expression to calculate the flow over the bump.
Here, the specific energy before the bump is
Write the expression for the rise over the bump.
Calculation:
Substitute
The Froude number is greater than
Substitute
Substitute
Substitute
Substitute
Substitute
After solving by iteration method three roots of the
A physical meaningful root of the equation is
Substitute
Substitute
The Froude number is greater than
Conclusion:
The rise in water level over the bump is
The flow over the bump is supercritical.
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Chapter 13 Solutions
Fluid Mechanics: Fundamentals and Applications
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