8.4.2.1 - Local Acceleration
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Practice Questions
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Define local acceleration.
💡 Hint: Focus on the aspect of time variation.
What does convective acceleration account for?
💡 Hint: Think about how velocity might change across positions in the fluid.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for Newton's second law?
💡 Hint: Think about how force relates to mass and motion.
Does convective acceleration depend on time?
💡 Hint: Revisit the definitions of acceleration types for clarity.
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Challenge Problems
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Given a fluid's velocity function v = 2xyi + (3z)j + (x^2)k, calculate the local acceleration at the point (2, 3, 4).
💡 Hint: Remember to find partial derivatives followed by substitution.
Analyze a scenario where a fluid's velocity changes spatially in a 3D grid. Formulate equations to demonstrate local and convective accelerations.
💡 Hint: Focus on visualizing the fluid velocity to distinguish changes clearly.
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