Flux of a Vector Field

  • Antonio Galbis
  • Manuel Maestre
Chapter
Part of the Universitext book series (UTX)

Abstract

In this chapter we concentrate on aspects of vector calculus. A common physical application of this theory is the fluid flow problem of calculating the amount of fluid passing through a permeable surface. The abstract generalization of this leads us to the flux of a vector field through a regular 2-surface in \(\mathbb{R}^3\). More precisely, let the vector field F in \(\mathbb{R}^3\) represent the velocity vector field of a fluid. We immerse a permeable surface S in that fluid, and we are interested in the amount of fluid flow across the surface S per unit time. This is the flux integral of the vector field F across the surface S

Keywords

Unit Normal Vector Canonical Basis Measurable Subset Permeable Surface Linear Isomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Antonio Galbis
    • 1
  • Manuel Maestre
    • 1
  1. 1.Depto. Análisis MatemáticoUniversidad de ValenciaValenciaSpain

Personalised recommendations