A result of existence and uniqueness for a cavity driven flow. Analytical expression of the solution

Details A result of existence and uniqueness for a cavity driven flow. Analytical expression of the solution A result of existence and uniqueness for a cavity driven flow. Analytical expression of the solution

2009-12-22

arxiv.org/abs/0912.4442v1

Mathematics

Analysis of PDEs

10 pages, 8 figures; Research & Development Dept. work about flows on ventilating structures, 2009

Scientific paper

In this work a result of existence and uniqueness for a plane cavity driven steady flow is deduced using an analytical method for the resolution of a linear partial differential problem on a triangular domain. The solution admits a symbolic expression based on integration over the domain. Some examples of flow are computed and graphed. In particular, it is shown a realistic example of a shear-forced flow with two eddies, usually computed only by numerical methods. The mathematical techniques used for the demonstration of the main result are elementary.

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