Proceedings of the 2016 International Conference on Computer Engineering, Information Science & Application Technology (ICCIA 2016)

Numerical Method for Three-Dimensional Heat Conduction in Cylindrical and Spherical Coordinates

Authors
Xinxin Jia, Zongrui Hao, Hu Wang, Lei Wang, Xin Wang
Corresponding Author
Xinxin Jia
Available Online September 2016.
DOI
https://doi.org/10.2991/iccia-16.2016.48How to use a DOI?
Keywords
Differential equation of heat conduction; Spherical coordinate; Numerical heat transfer; the first mean value theorem for integral.
Abstract
According to the differential equations of heat conduction on cylindrical and spherical coordinate system, numerical solution of the discrete formula on cylindrical and spherical coordinate system with high accuracy were derived. Compared with the analytical solution, this discrete formula was verified with a high degree of accuracy. To make the complex dispersion coefficient of diffusion term more concrete in spherical coordinates, this paper derived the discretion coefficient of diffusion term by the first mean value theorem of integral. The accurate schemes provide a good reference for researchers whose work in solving the equation of heat conduction of three-dimensional cylindrical coordinates and spherical coordinates, and it will provide accurate numerical schemes and the theoretical basis for solving practical engineering problems.
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
2016 International Conference on Computer Engineering, Information Science & Application Technology (ICCIA 2016)
Part of series
Advances in Computer Science Research
Publication Date
September 2016
ISBN
978-94-6252-240-4
ISSN
2352-538X
DOI
https://doi.org/10.2991/iccia-16.2016.48How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Xinxin Jia
AU  - Zongrui Hao
AU  - Hu Wang
AU  - Lei Wang
AU  - Xin Wang
PY  - 2016/09
DA  - 2016/09
TI  - Numerical Method for Three-Dimensional Heat Conduction in Cylindrical and Spherical Coordinates
BT  - 2016 International Conference on Computer Engineering, Information Science & Application Technology (ICCIA 2016)
PB  - Atlantis Press
SP  - 260
EP  - 266
SN  - 2352-538X
UR  - https://doi.org/10.2991/iccia-16.2016.48
DO  - https://doi.org/10.2991/iccia-16.2016.48
ID  - Jia2016/09
ER  -