Practice Small Amplitude Wave Assumption - 2.1 | 21. Velocity Potential Derivation | Hydraulic Engineering - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the governing equation for wave motion under small amplitude assumptions?

💡 Hint: Think about the equations used in fluid dynamics.

Question 2

Easy

Define celerity in the context of waves.

💡 Hint: Consider the relationship between wave length and time.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the primary governing equation used for small amplitude wave analysis?

  • Heat equation
  • Laplace equation
  • Bernoulli's equation

💡 Hint: This equation is fundamental in fluid mechanics.

Question 2

True or False: Celerity is defined as the ratio of wave height to period.

  • True
  • False

💡 Hint: Remember the correct relationship involving wave properties.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A wave with a wavelength of 12m propagates with a period of 3s in deep water. Derive the celerity and describe how this would change if the water depth were shallow.

💡 Hint: Consider how depth affects wave properties.

Question 2

Given the dispersion relationship σ² = gk tanh(kd), analyze what happens as k increases while keeping d constant. What physical phenomenon does this relate to?

💡 Hint: Reflect on how wave characteristics change with wavelength.

Challenge and get performance evaluation