Dissertation/Thesis Abstract

Numerical Study of Reaction-Diffusion Systems using Front Tracking
by Joglekar, Saurabh Gajanan, Ph.D., State University of New York at Stony Brook, 2017, 107; 10622549
Abstract (Summary)

We study the three component Reaction-Diffusion systems with and without precipitation and crystal growth. Focus is on the generic chemical reaction represented by nA + mB C, where n,m are the stoichiometric coefficients. In case of the reaction-diffusion system without precipitation, we investigate the movement of the center of reaction zone in for equal and unequal diffusivities. We compare the analytical and numerical solutions for equal diffusivities to establish the accuracy of the numerical method. Then we apply the numerical method to provide numerical evidence in support of a conjecture in the case of unequal diffusivities.

Next, we apply the Front Tracking method to study the reaction-diffusion systems with crystal growth in higher spatial dimensions. The effects of different parameters on the crystal growth are investigated.

Indexing (document details)
Advisor: Li, Xiaolin
Commitee: Lim, Hyunkyung, Liu, Yangang, Samulyak, Roman
School: State University of New York at Stony Brook
Department: Applied Mathematics and Statistics
School Location: United States -- New York
Source: DAI-B 79/03(E), Dissertation Abstracts International
Subjects: Applied Mathematics, Chemical engineering
Keywords: Center of reaction front, Crystal growth, Front tracking, Reaction front, Reaction-diffusion equations, Reaction-diffusion systems
Publication Number: 10622549
ISBN: 978-0-355-47067-3
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