Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An analytical solution for the heat transfer in hollow cylinders with time-dependent boundary condition and time-dependent heat transfer coefficient at different surfaces is developed for the first time.
The methodology is an extension of the shifting function method.
By dividing the Biot function into a constant plus a function and introducing two specially chosen shifting functions, the system is transformed into a partial differential equation with homogenous boundary conditions only.
The transformed system is thus solved by series expansion theorem.
Limiting cases of the solution are studied and numerical results are compared with those in the literature.
The convergence rate of the present solution is fast and the analytical solution is simple and accurate.
Also, the influence of physical parameters on the temperature distribution of a hollow cylinder along the radial direction is investigated.
American Psychological Association (APA)
Tu, Te-Wen& Lee, Sen-Yung. 2015. Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1067053
Modern Language Association (MLA)
Tu, Te-Wen& Lee, Sen-Yung. Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient. Journal of Applied Mathematics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1067053
American Medical Association (AMA)
Tu, Te-Wen& Lee, Sen-Yung. Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1067053
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067053