http://upload.wikimedia.org/math/2/b/2/2b2fe1336915a03e04930c11b27f4585.png(adsbygoogle = window.adsbygoogle || []).push({});

The above link shows the material derivative. Which is the derivative that follows a volume of fluid throughout its movement through a fluid. How is this derived from a chain rule? Is the v in that equation the velocity field of the fluid at each point throughout space? Do you act on the position of some arbitrary fluid volume with this operator? Thanks ahead of time.

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# Material/Fluid derivative operator questions

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