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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Vortex theory for multiple fluid in three dimensions
verfasst von : G. De Josselin de Jong
Erschienen in: Soil Mechanics and Transport in Porous Media
Verlag: Springer Netherlands
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The specific discharge in a pore fluid with specific weight, γ , that is variable in space, is a rotational flow possessing vorticity in those regions, where γ varies in horizontal direction. The vortices have horizontal axes parallel to lines of constant γ. They create a circulating flow in the aquifer around them. On a sharp interface the contourlines of equal height form vortex lines, that enclose reentrant vortex ribbons of constant strength. Formulas are given for the specific discharge in an arbitrary point of the aquifer, created by the vortices in a triangular part of an interface. These relations are suitable for determining the displacement of an interface in time. Finally the specific discharge in a point of the interface, as created by the vortices in a small circular region of the interface around that point, is demonstrated to consist of a shear flow only, similar to the shear flow occuring in the two dimensional case.