Abstract
In this paper, we introduce a two-phase flow model which describes the motion of two incompressible fluids. The proposed model is governed by nonlinear partial differential algebraic equations (PDAEs) with open initial-boundary conditions. The well-posedness of the boundaries is analyzed using characteristic curves, which leads to development of a boundary actuation structure that is suitable for a control design. A particular emphasis is placed on a possible coordinate transformation that can reduce the problem to a set of partial differential equations (PDEs) without algebraic constraints. The boundary actuation strategy is presented using linearized model equations and tested on a numerical example for a quasi steady-state situation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
