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

DOI

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.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/iccia-16.2016.48
ID  - Jia2016/09
ER  -