Discussion
Statement I: The material derivative includes an advective term.
Statement II: The local time derivative includes an advective term.
In the light of the above statements, choose the correct answer.
Answer: A
The material derivative is defined as the local derivative plus the advective term, so the first statement holds and the second does not. The local derivative is the rate of change at a fixed point and contains nothing else. Keeping the two apart is essential, because Newton's laws apply to the material derivative while observations from a fixed station measure the local one, and the difference between them is often the larger part of the total.
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