Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity
Joint Authors
Mustafa, M. T.
Arif, A. F. M.
Masood, Khalid
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A new approach for generating approximate analytic solutions of transient nonlinear heat conduction problems is presented.
It is based on an effective combination of Lie symmetry method, homotopy perturbation method, finite element method, and simulation based error reduction techniques.
Implementation of the proposed approach is demonstrated by applying it to determine approximate analytic solutions of real life problems consisting of transient nonlinear heat conduction in semi-infinite bars made of stainless steel AISI 304 and mild steel.
The results from the approximate analytical solutions and the numerical solution are compared indicating good agreement.
American Psychological Association (APA)
Mustafa, M. T.& Arif, A. F. M.& Masood, Khalid. 2014. Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033755
Modern Language Association (MLA)
Mustafa, M. T.…[et al.]. Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033755
American Medical Association (AMA)
Mustafa, M. T.& Arif, A. F. M.& Masood, Khalid. Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033755
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033755