TOPICS
Search

Flux Integral

The flux integral of a vector field F through an oriented surface S is the surface integral

intint_SF·ndS,

where n is the chosen unit normal vector. It measures the net component of the field passing through the surface. If S is a closed surface bounding a region V, the divergence theorem gives

intint_SF·ndS=intintint_VdivFdV.

See also

Closed Surface, Divergence Theorem, Surface Integral, Vector Field

Explore with Wolfram|Alpha

References

Marsden, J. E. and Tromba, A. J. Vector Calculus, 5th ed. New York: W. H. Freeman, 2003.

Cite this as:

Weisstein, Eric W. "Flux Integral." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FluxIntegral.html

Subject classifications