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

Mathematics

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