Monday, December 7, 2009

Dupuit-Forchheimer Assumptions

For some of the 2D flow problems, one component of the flow can be neglected with respect to the other. In particular, in some unconfined flows with a free surface, the vertical component of the flow can be neglected. This approximation pioneered by Dupuit (1863) and utilized later by Forchheimer (1930) is known as the Dupuit–Forchheimer assumption. It gives reasonable results when the depth of the unconfined flow is shallow and the slope of the free surface is small. These assumptions are summarized as follows:



1. The flow is horizontal at any vertical cross-section.
2. The velocity is constant over the depth.
3. The velocity is calculated using the slope of the free surface as the hydraulic gradient.
4. The slope of the water table is relatively small.

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