A thermal explosion in a cylindrical vessel: A non-classical symmetry approach

E. Momoniat

doi:10.1142/S0217979209052790

A thermal explosion in a cylindrical vessel: A non-classical symmetry approach

E. Momoniat

University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

New solutions to the Frank-Kamenetskii partial differential equation modeling a thermal explosion in a cylindrical vessel are obtained. The classical Lie group method is used to determine an approximate solution valid in a small interval around the axis of the cylinder. Non-classical symmetries are used to determine solutions valid after blow-up. These solutions have multiple singularities. Solutions are plotted and analyzed.

Original language	English
Pages (from-to)	3089-3099
Number of pages	11
Journal	International Journal of Modern Physics B
Volume	23
Issue number	14
DOIs	https://doi.org/10.1142/S0217979209052790
Publication status	Published - 10 Jun 2009
Externally published	Yes

Keywords

Blow-up
Lie point symmetries
Non-classical symmetries
Nonlinear diffusion equation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217979209052790

Cite this

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title = "A thermal explosion in a cylindrical vessel: A non-classical symmetry approach",

abstract = "New solutions to the Frank-Kamenetskii partial differential equation modeling a thermal explosion in a cylindrical vessel are obtained. The classical Lie group method is used to determine an approximate solution valid in a small interval around the axis of the cylinder. Non-classical symmetries are used to determine solutions valid after blow-up. These solutions have multiple singularities. Solutions are plotted and analyzed.",

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AB - New solutions to the Frank-Kamenetskii partial differential equation modeling a thermal explosion in a cylindrical vessel are obtained. The classical Lie group method is used to determine an approximate solution valid in a small interval around the axis of the cylinder. Non-classical symmetries are used to determine solutions valid after blow-up. These solutions have multiple singularities. Solutions are plotted and analyzed.

KW - Blow-up

KW - Lie point symmetries

KW - Non-classical symmetries

KW - Nonlinear diffusion equation

UR - https://www.scopus.com/pages/publications/67650263681

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DO - 10.1142/S0217979209052790

M3 - Article

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JO - International Journal of Modern Physics B

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ER -

A thermal explosion in a cylindrical vessel: A non-classical symmetry approach

Abstract

Keywords

ASJC Scopus subject areas

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