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Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions
Joint Authors
Lee, Sen-Yung
Huang, Chih-Cheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
An analytic solution method, without integral transformation, is developed to find the exact solutions for transient heat conduction in functionally graded (FG) circular hollow cylinders with time-dependent boundary conditions.
By introducing suitable shifting functions, the governing second-order regular singular differential equation with variable coefficients and time-dependent boundary conditions is transformed into a differential equation with homogenous boundary conditions.
The exact solution of the system with thermal conductivity and specific heat in power functions with different orders is developed.
Finally, limiting studies and numerical analyses are given to illustrate the efficiency and the accuracy of the analysis.
American Psychological Association (APA)
Lee, Sen-Yung& Huang, Chih-Cheng. 2013. Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1010832
Modern Language Association (MLA)
Lee, Sen-Yung& Huang, Chih-Cheng. Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1010832
American Medical Association (AMA)
Lee, Sen-Yung& Huang, Chih-Cheng. Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1010832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010832