1.2 - Linear wave theory
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Practice Questions
Test your understanding with targeted questions
What is the definition of linear wave theory?
💡 Hint: Think about the linear characteristics of waves.
Why are boundary value problems important?
💡 Hint: Consider how multiple solutions could arise without constraints.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the linear wave theory primarily analyze?
💡 Hint: Think about the assumption of linearity in waves.
True or False: The Laplace equation can apply to both velocity potential and stream function.
💡 Hint: Consider the equation's universal application in fluid dynamics.
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Challenge Problems
Push your limits with advanced challenges
Given a wave tank with water height variations, derive the potential flow using boundary conditions based on measured velocity at inlet and outlet.
💡 Hint: Define the depths and velocities properly before substituting them into the Laplace equation.
How would the equations change if the flow is no longer irrotational? Provide new forms for the velocity potentials.
💡 Hint: Consider factors like rotational flow and how they relate to velocity potentials.
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