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Discovery of transport and reaction properties in distributed systems
Author(s) -
Zhang Libin,
Kulkarni Kedar,
Somayaji MahadevaBharath R.,
Xenos Michalis,
Linninger Andreas A.
Publication year - 2007
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.11018
Subject(s) - curvilinear coordinates , discretization , computer science , inversion (geology) , rate of convergence , transport phenomena , mathematical optimization , mathematics , physics , mechanics , mathematical analysis , geometry , paleontology , channel (broadcasting) , computer network , structural basin , biology
In distributed systems, transport phenomena coupled with chemical or metabolic reactions are functions of space. A computational method is outlined to acquire unknown system properties in distributed systems by problem inversion . Physical and chemical properties are estimated simultaneously. The finite‐volume discretization method formulated in generalized curvilinear coordinates applied to inversion problem of arbitrarily complex geometries. The direct solution approach of the reacting transport problem through inexpensive acquisition of sensitivity information is presented. An inexact trust region method improves the convergence rate of the large‐scale transport and kinetic inversion problem (TKIP) . The case studies demonstrate a novel computational approach for quantifying unknown transport properties, as well as reaction or metabolic constants. Solutions to technological challenges is presented in computational fluid mechanics and biotransport using mathematical programming techniques for inversion of distributed systems. © 2006 American Institute of Chemical Engineers AIChE J, 2006