6 - Derivation of the Velocity Potential
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Practice Questions
Test your understanding with targeted questions
What is the definition of velocity potential?
💡 Hint: Think about how we represent fluid movement.
Name one assumption made in deriving velocity potential.
💡 Hint: Consider the properties of fluids we typically ignore.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Laplace equation used for in hydraulic engineering?
💡 Hint: It's a fundamental equation in classifying flow types.
True or False: At the seabed, the vertical velocity component is zero.
💡 Hint: Think about the nature of fixed boundaries.
1 more question available
Challenge Problems
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Using the concepts discussed, calculate how wave motion changes if the seabed is no longer horizontal but has a slope determined by a function h(x). Provide the equation governing the new wave motion.
💡 Hint: Apply the same principles but consider gradients introduced by the sloping seabed.
Discuss the effects of assuming that pressure at the free surface is not uniform. What complications might arise in the dynamic boundary conditions?
💡 Hint: Consider how stability and consistency in water surface pressure impacts flow.
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