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Which of these is not an equivalent to for substantial derivative?

(a) Lagrangian derivative

(b) Material derivative

(c) Total derivative

(d) Eulerian derivative

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Right choice is (d) Eulerian derivative

To explain I would say: Eulerian derivative means the local derivative ((frac{partial}{partial t})). Material and Lagrangian derivatives are the other names for substantial derivative. Total derivative is mathematical equivalent to substantial derivative.

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