Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods
Joint Authors
Torabi, Mohsen
Colantoni, Andrea
Yaghoobi, Hessameddin
Boubaker, Karem
Biondi, Paolo
Source
Chinese Journal of Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Engineering Sciences and Information Technology
Abstract EN
Radiative radial fin with temperature-dependent thermal conductivity is analyzed.
The calculations are carried out by using differential transformation method (DTM), which is a seminumerical-analytical solution technique that can be applied to various types of differential equations, as well as the Boubaker polynomials expansion scheme (BPES).
By using DTM, the nonlinear constrained governing equations are reduced to recurrence relations and related boundary conditions are transformed into a set of algebraic equations.
The principle of differential transformation is briefly introduced and then applied to the aforementioned equations.
Solutions are subsequently obtained by a process of inverse transformation.
The current results are then compared with previously obtained results using variational iteration method (VIM), Adomian decomposition method (ADM), homotopy analysis method (HAM), and numerical solution (NS) in order to verify the accuracy of the proposed method.
The findings reveal that both BPES and DTM can achieve suitable results in predicting the solution of such problems.
After these verifications, we analyze fin efficiency and the effects of some physically applicable parameters in this problem such as radiation-conduction fin parameter, radiation sink temperature, heat generation, and thermal conductivity parameters.
American Psychological Association (APA)
Torabi, Mohsen& Yaghoobi, Hessameddin& Colantoni, Andrea& Biondi, Paolo& Boubaker, Karem. 2013. Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods. Chinese Journal of Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-474085
Modern Language Association (MLA)
Torabi, Mohsen…[et al.]. Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods. Chinese Journal of Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-474085
American Medical Association (AMA)
Torabi, Mohsen& Yaghoobi, Hessameddin& Colantoni, Andrea& Biondi, Paolo& Boubaker, Karem. Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods. Chinese Journal of Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-474085
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474085