Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Lie point symmetry analysis is performed for an unsteady nonlinear heat diffusion problem modeling thermal energy storage in a medium with a temperature-dependent power law thermal conductivity and subjected to a convective heat transfer to the surrounding environment at the boundary through a variable heat transfer coefficient.
Large symmetry groups are admitted even for special choices of the constants appearing in the governing equation.
We construct one-dimensional optimal systems for the admitted Lie algebras.
Following symmetry reductions, we construct invariant solutions.
American Psychological Association (APA)
Moitsheki, Raseelo Joel. 2008. Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-464657
Modern Language Association (MLA)
Moitsheki, Raseelo Joel. Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient. Mathematical Problems in Engineering No. 2008 (2008), pp.1-9.
https://search.emarefa.net/detail/BIM-464657
American Medical Association (AMA)
Moitsheki, Raseelo Joel. Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-464657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464657