Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles
Joint Authors
Moitsheki, Raseelo Joel
Mhlongo, M. D.
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
One-dimensional steady-state heat transfer in fins of different profiles is studied.
The problem considered satisfies the Dirichlet boundary conditions at one end and the Neumann boundary conditions at the other.
The thermal conductivity and heat coefficients are assumed to be temperature dependent, which makes the resulting differential equation highly nonlinear.
Classical Lie point symmetry methods are employed, and some reductions are performed.
Some invariant solutions are constructed.
The effects of thermogeometric fin parameter, the exponent on temperature, and the fin efficiency are studied.
American Psychological Association (APA)
Mhlongo, M. D.& Moitsheki, Raseelo Joel. 2014. Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-510446
Modern Language Association (MLA)
Mhlongo, M. D.& Moitsheki, Raseelo Joel. Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles. Advances in Mathematical Physics No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-510446
American Medical Association (AMA)
Mhlongo, M. D.& Moitsheki, Raseelo Joel. Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-510446
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510446