Abstract
This chapter presents the occurrence and solution of boundary value reaction systems. Boundary value systems can occur in a wide variety of physical situations wherein chemical reaction is coupled with flow, diffusion, and temperature fields. The chapter highlights a selected number of such systems and describes certain methods used for their numerical solutions. Optimal control systems always lead to boundary value problems. This follows directly from the necessary conditions of the maximum (minimum) principle. In an isothermal chemical reaction, the isothermal rate is merely a power function in concentrations. In flow tubular reactors, the shooting method and quasilinearization seems to work quite well although this is a function of the magnitude of Pe as it influences the stability bound of the integration method. However, it is important to determine the magnitude of these gradients and their influence on the reaction rate.
Sign-in/Register to access full text options 
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 callMore From: Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations
Disclaimer: 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.
