Math 2.0

concept

Flux through a surface

Summary

The flux of a vector field through an oriented surface measures how much of the field passes through the surface. It counts flow in the direction of the chosen normal. It is the surface integral of the normal component of the field. For a velocity field of a fluid, it is the volume of fluid that crosses the surface per unit time.

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To read this node, read these 6 nodes in this order. The foundations come first, and the list ends with this node.

Parametrised surface, concept, no evidence levelParametrised surfaceconceptSurface area, concept, no evidence levelSurface areaconceptTangent plane and normal vector of a surface, concept, no evidence levelTangent plane and nor…conceptSurface integral, concept, no evidence levelSurface integralconceptOrientable surface, concept, no evidence levelOrientable surfaceconceptFlux through a surface, concept, no evidence levelFlux through a surfaceconcept
Each node uses the nodes above it. The colour of the bar on a box shows the evidence level, and the box also gives it as text. The list below has the same nodes.
  • no evidence level
  1. Parametrised surface concept
  2. Surface area concept
  3. Tangent plane and normal vector of a surface concept
  4. Surface integral concept
  5. Orientable surface concept
  6. Flux through a surface concept

Sources

  1. Web https://en.wikipedia.org/wiki/Flux, General mathematical definition (surface integral)

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Definitions