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.
Content

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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