Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem
Joint Authors
Moitsheki, Raseelo Joel
Mhlongo, M. D.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider the one-dimensional steady fin problem with the Dirichlet boundary condition at one end and the Neumann boundary condition at the other.
Both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature.
We perform preliminary group classification to determine forms of the arbitrary functions appearing in the considered equation for which the principal Lie algebra is extended.
Some invariant solutions are constructed.
The effects of thermogeometric fin parameter and the exponent on temperature are studied.
Also, the fin efficiency is analyzed.
American Psychological Association (APA)
Moitsheki, Raseelo Joel& Mhlongo, M. D.. 2011. Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1028965
Modern Language Association (MLA)
Moitsheki, Raseelo Joel& Mhlongo, M. D.. Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1028965
American Medical Association (AMA)
Moitsheki, Raseelo Joel& Mhlongo, M. D.. Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1028965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028965