The velocity over the bump.
The flow depth over the bump.
The Froude number over the bump.
Answer to Problem 146P
The velocity over the bump is
The flow depth over the bump is
The Froude number over the bump is
Explanation of Solution
Given information:
The height of bump is
Write the expression for Froude number.
Here, velocity is
Write the expression for critical flow of depth.
Here, velocity before bump is
Write the expression for specific energy before bump.
Write the expression for specific energy after the bump.
Here, height of bump is
Write the expression for critical specific energy.
Write the relation for flow depth after the bump.
Write the expression for velocity after the bump.
Calculation:
Substitute
The Froude number is less than
Substitute
Substitute
Substitute
Substitute
Substitute
Solve for
Here, depth of flow should be greater than critical depth.
Substitute
Substitute
Conclusion:
The velocity over the bump is
The flow depth over the bump is
The Froude number over the bump is
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Chapter 13 Solutions
Fluid Mechanics: Fundamentals and Applications
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