Material Derivative: Difference between revisions
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(Created page with "The material derivative is defined along integral curves of the flow. This has some subtle implications. For instance, suppose <math>f</math> represents the temperature of t...") |
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Latest revision as of 08:57, 30 June 2015
The material derivative is defined along integral curves of the flow. This has some subtle implications. For instance, suppose represents the temperature of the fluid in a swimming pool, and suppose the pool's temperature decreases as depth increases, and that this is a steady state. Then everywhere in the pool, but a particle travelling from the deep end to the shallow end will have a nonzero material derivative, because .