1.7 - Dispersion Relationship
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Practice Questions
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What is Velocity Potential in fluid mechanics?
💡 Hint: Think about scalar functions and fluid equations.
What happens to water particle displacement in shallow water?
💡 Hint: Consider how depth influences the shape of the orbit.
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Interactive Quizzes
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What does the velocity potential describe?
💡 Hint: Think about what controls the motion in fluids.
True or False: In shallow water, particle paths are circular.
💡 Hint: Consider how depth changes affect shapes.
1 more question available
Challenge Problems
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Given a specific wave height and wavelength, derive the equations for D and B in both shallow and deep water conditions and discuss how these parameters reflect wave behavior.
💡 Hint: Analyze how depth affects these relationships.
Using computational tools, demonstrate the calculation of kd through the equation kd² = y² + y/(1 + Σ from n=1 to n=6 of dn * Y_n. Explain how this aids in practical scenarios.
💡 Hint: What values can vary to observe changes in results?
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