Boundary Control of Fluid Flow Through Porous Media

Boundary Control of Fluid Flow Through Porous Media

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Abstract

The flow of fluids through porous media can be described by the Boussinesq’s equation with mixed boundary conditions; a Neumann’s boundary condition and a nonlinear boundary condition. The nonlinear boundary condition provides a means to control the fluid flow through porous media. In this paper, some stabilizing controllers are constructed for various cases using Lyapunov design.
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The flow of fluids through porous media can be described by the Boussinesq’s equation with mixed boundary conditions; a Neumann’s boundary condition and a nonlinear boundary condition. The nonlinear boundary condition provides a means to control the fluid flow through porous media. In this paper, some stabilizing controllers are constructed for various cases using Lyapunov design.
 

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