Markov Processes in Stochastic Modeling of Transport Phenomena

From Application to Theory

Timo Gottschalk (Autor)

Buch | Softcover

136 Seiten

2009
Südwestdeutscher Verlag für Hochschulschriften
978-3-8381-0568-0 (ISBN)

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The present work discusses the development of mathematical theory in order to satisfy the need for rigorous and applicable modeling of transport phenomena in chemical engineering science. An underlying background in applications and examples are common to all the different following topics. The first object of investigation is Danckwerts' law. It states that the expected residence time of a particle in a processing vessel with steady and constant in- and outflow is given by the volume of the vessel divided by the in-/outflowrate. Its implementation for discrete Markov chains and onedimensional diffusion processes is shown. Therefore relations of the theory of strongly continuous semigroups and their generators to diffusion processes are presented and used. Furthermore multiphase processes are introduced and characterized. A limit theorem for these multiphase processes is formulated and proved. Finally a heterogeneous stochastic model for transport in slugging fluidized bed reactors is illustrated.

Timo Gottschalk, Dr. rer. nat.: Studies in Mathematics at the
Eberhard Karls University of Tübingen and the Arizona State
University in Tempe. Promotion in 2008 at the Ruhr-Universität
Bochum. Specialisation in probability theory with focus on markov
processes and their applications in chemical engineering.

Sprache	deutsch
Maße	150 x 220 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	3-8381-0568-0 / 3838105680
ISBN-13	978-3-8381-0568-0 / 9783838105680
Zustand	Neuware