Asymptotic analysis of chemical reactions

Heikki Haario; Leonid Kalachev; Tapio Salmi; Juha Lehtonen

doi:10.1016/S0009-2509(98)00280-2

Asymptotic analysis of chemical reactions

Heikki Haario, Leonid Kalachev, Tapio Salmi, Juha Lehtonen

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11 Scopus citations

Abstract

Chemical reaction schemes are typically simplified by considering the controlling steps of the process, the 'fast' reactions being taken into account by quasi-equilibrium assumptions. Traditionally, intuitive reasoning is employed to arrive at the simplified system. This may, however, be cumbersome and sometimes misleading. In this paper a systematic approach is presented that guarantees that the simplified model coincides with the asymptotics of the original one.

Original language	English
Pages (from-to)	1131-1143
Number of pages	13
Journal	Chemical Engineering Science
Volume	54
Issue number	8
DOIs	https://doi.org/10.1016/S0009-2509(98)00280-2
State	Published - Mar 1 1999

Keywords

Asymptotic analysis
Chemical kinetics
Quasi-equilibrium
Quasi-steady state

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10.1016/S0009-2509(98)00280-2

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title = "Asymptotic analysis of chemical reactions",

abstract = "Chemical reaction schemes are typically simplified by considering the controlling steps of the process, the 'fast' reactions being taken into account by quasi-equilibrium assumptions. Traditionally, intuitive reasoning is employed to arrive at the simplified system. This may, however, be cumbersome and sometimes misleading. In this paper a systematic approach is presented that guarantees that the simplified model coincides with the asymptotics of the original one.",

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author = "Heikki Haario and Leonid Kalachev and Tapio Salmi and Juha Lehtonen",

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AU - Haario, Heikki

AU - Kalachev, Leonid

AU - Salmi, Tapio

AU - Lehtonen, Juha

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Y1 - 1999/3/1

N2 - Chemical reaction schemes are typically simplified by considering the controlling steps of the process, the 'fast' reactions being taken into account by quasi-equilibrium assumptions. Traditionally, intuitive reasoning is employed to arrive at the simplified system. This may, however, be cumbersome and sometimes misleading. In this paper a systematic approach is presented that guarantees that the simplified model coincides with the asymptotics of the original one.

AB - Chemical reaction schemes are typically simplified by considering the controlling steps of the process, the 'fast' reactions being taken into account by quasi-equilibrium assumptions. Traditionally, intuitive reasoning is employed to arrive at the simplified system. This may, however, be cumbersome and sometimes misleading. In this paper a systematic approach is presented that guarantees that the simplified model coincides with the asymptotics of the original one.

KW - Asymptotic analysis

KW - Chemical kinetics

KW - Quasi-equilibrium

KW - Quasi-steady state

UR - https://www.scopus.com/pages/publications/0032623984

U2 - 10.1016/S0009-2509(98)00280-2

DO - 10.1016/S0009-2509(98)00280-2

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VL - 54

SP - 1131

EP - 1143

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 8

ER -

Asymptotic analysis of chemical reactions

Abstract

Keywords

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