Finite Element Methods for Dirichlet feedback control problems in chemical reaction engineering

Project: Research project

Grant Program

Faculty Development Competitive Research Grant Program 2018-2020

Project Description

The government of the Republic of Kazakhstan has defined the development of chemical and petrochemical industries as one of top priorities for the country. Recently, Kazakhstan has launched new plants for manufacturing chemical and petrochemical products with high added value. The core of this industrial development is based on engineering of chemical reactors, such as fixed-bed and fluidized-bed catalytic reactors, e.g., [60, 45]. Since reactions occurring in industrial plants are very frequently exothermic, the precise control of chemical reactors is very important to avoid formation of hot spots which can cause the catalyst sintering, reactor malfunction and even lead to industrial accidents. The U.S. Chemical Safety and Hazard Investigation Board (CSB), which is an independent federal agency charged with investigating industrial chemical accidents at fixed facilities, issued a study identifying about 200 serious reactive chemical accidents in the United States since 1980. One of serious industrial accidents resulted from the uncontrolled chemical reaction was a toxic allyl alcohol release in 2004 in Dalton Georgia. The heat was not removed quickly enough from one of the reactors of MFG Chemical, Inc., at their facility in Dalton and the reaction self-accelerated (“run away”). More than 100 families and businesses were evacuated because of the toxic allyl alcohol vapor cloud. Some 154 people were decontaminated and treated at a local hospital.
This project will be an interdisciplinary research between Applied Mathematics and Engineering. Mathematics part includes finite element and optimization techniques. Finite Element Method (FEM) is a way to find approximate solutions to the Boundary Value Problems associated with the chemical reaction to be considered.
StatusActive
Effective start/end date3/20/1812/31/20

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Reaction Engineering
Divergence-free
Chemical Reaction
Feedback Control
Dirichlet
Control Problem
Finite Element Method
Chemical Reactors
Boundary Control
Riccati Equation
Reactor
Stabilization
Finite Element
Algebraic Differential Equations
Term
Accidents
Galerkin
Vector Control
Feedback Stabilization
Projection