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3 cards from this section. Quick, good the night before a test.
Define local acceleration.
Focus on the aspect of time variation.
What does convective acceleration account for?
Think about how velocity might change across positions in the fluid.
What is the formula for Newton's second law?
Think about how force relates to mass and motion.
Does convective acceleration depend on time?
Revisit the definitions of acceleration types for clarity.
Given a fluid's velocity function v = 2xyi + (3z)j + (x^2)k, calculate the local acceleration at the point (2, 3, 4).
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.
Focus on visualizing the fluid velocity to distinguish changes clearly.
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