Gradient

⏱ 13 min★ Up to 110 XP📝 4 questions

Module 1.2 · Topic 2

Which direction is concentration actually changing fastest?

Tracer concentration isn't the same everywhere in the stream — highest right at the source, falling off with distance. At any specific point, concentration could be changing in every direction at once, but only one direction represents the fastest possible increase.

Standing at some point away from the tracer source, is there a single, well-defined direction in which concentration increases fastest, or does 'fastest increasing direction' not really mean anything precise?

Practice Questions

ConceptQuestion 1 of 4

The gradient of a scalar field at a given point represents:

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