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
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© 2012 Springer Science+Business Media, LLC
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Galbis, A., Maestre, M. (2012). Flux of a Vector Field. In: Vector Analysis Versus Vector Calculus. Universitext. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2200-6_4
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DOI: https://doi.org/10.1007/978-1-4614-2200-6_4
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-2199-3
Online ISBN: 978-1-4614-2200-6
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