17 авг. 2024 г. · The flux form of Green's theorem relates a double integral over region D to the flux across boundary C. The flux of a fluid across a curve can ... Learning Objectives · Flux Form of Green's Theorem |
Notice that since the normal vector points outwards, away from R, the flux is positive where the flow is out of R; flow into R counts as negative flux. |
In the flux form, the integrand is F⋅N F ⋅ N . Green's theorem can be used to transform a difficult line integral into an easier double integral, or to ... |
Green's theorem states that, under suitable conditions, the outward flux of a vector field across a simple closed curve in the plane equals the double integral ... |
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