Adaptive numerical simulation of reaction-diffusion systems [Elektronische Ressource] / von: Chamakuri Nagaiah

ADAPTIVE NUMERICAL SIMULATION OFREACTION - DIFFUSION SYSTEMSChamakuri NagaiahFaculty of MathematicsOtto-von-Guericke University, Magdeburg.ADAPTIVE NUMERICAL SIMULATION OFREACTION - DIFFUSION SYSTEMSDissertationzur Erlangung des akademischen GradesDoktor rerum naturalium(Dr. rer. nat.)von: M. Tech., M. Sc., Chamakuri Nagaiahgeb. am: 03.06.1979 in Maddirala, Andhra Pradesh, Indiagenehmigt druch die Fakult¨at fu¨r Mathematikder Otto-von-Guericke Universit¨at, Magdeburg, DeutschlandGutachter: Prof. Dr. Gerald WarneckePriv.-Doz. Dr. Martin FalckeEingereicht am: 08.01.2007Verteidigung am: 30.03.2007ADAPTIVE NUMERICAL SIMULATION OFREACTION - DIFFUSION SYSTEMSDissertationSubmitted for the academic degreeDoktor rerum naturalium(Dr. rer. nat)by: M. Tech.,M. Sc., Chamakuri Nagaiahborn on : 03.06.1979 in Maddirala, Andhra Pradesh, Indiaapproved from the Faculty of MathematicsOtto-von-Guericke University, Magdeburg, GermanyReferees: Prof. Dr. Gerald WarneckePriv.-Doz. Dr. Martin FalckeSubmitted on: 08.01.2007Defended on: 30.03.2007To my parentsviTable of ContentsTable of Contents viiAbstract ix1 Introduction 12 Mathematical Modeling of Heat and Mass Transfer in Fluidized Beds 72.1 Introduction of basic variables and assumptions . . . . . . . . . . . . . . . 102.2 Balance equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132.2.1 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . 202.