Critical times in single-layer reaction diffusion

Reaction diffusion has applications to a wide range of areas, including industrial, geological, and medical problems. An important aspect is the phenomenon of ‘critical time’, which is a measure of how long the reaction and diffusion processes take. In this work, an exact solution using a linear rea...

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Bibliographic Details
Published inInternational journal of heat and mass transfer Vol. 54; no. 11; pp. 2642 - 2650
Main Authors Hickson, R.I., Barry, S.I., Sidhu, H.S., Mercer, G.N.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.05.2011
Elsevier
Subjects
Critical time
Diffusion
Exact sciences and technology
Exact solutions
Function theory, analysis
Geology
Mass transfer
Mathematical analysis
Mathematical methods in physics
Medical
Partial differential equations
Physics
Reaction diffusion
Time scale
Time scale
Reaction diffusion
Diffusion
Critical time
Reaction diffusion equation
Analytical solution
Exact solution
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Summary:Reaction diffusion has applications to a wide range of areas, including industrial, geological, and medical problems. An important aspect is the phenomenon of ‘critical time’, which is a measure of how long the reaction and diffusion processes take. In this work, an exact solution using a linear reaction function is used to explore three critical time definitions. The outcome of the analysis is a simple, novel relationship between the reaction and diffusion time scales.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2011.01.019