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Simulation of the Action of a Permeable Barrier on an Ideal Incompressible Channel Flow

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Abstract

Plane ideal incompressible flow in a rectangular channel partitioned by a thin permeable barrier (lattice) is considered. In flowing through the lattice the stream suddenly (jumpwise) changes direction and loses energy. The flow is assumed to be vortical; the vorticity is discontinuous on the lattice. A mathematical formulation of the problem for the stream function is proposed in the form of a nonlinear elliptic equation with coefficients discontinuous on the lattice line. A numerical solution is constructed using the finite-element iteration method. The results of the numerical simulation show how the flow velocity profile in the channel can be controlled by means of permeable barriers.

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Authors
  1. A. B. Mazo
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Mazo, A.B. Simulation of the Action of a Permeable Barrier on an Ideal Incompressible Channel Flow. Fluid Dynamics 37, 913–918 (2002). https://doi.org/10.1023/A:1022352430270

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  • DOI: https://doi.org/10.1023/A:1022352430270

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