Finite Element Method Formulation in Polar Coordinates for Transient Heat Conduction Problems
文献类型：期刊论文
| 作者 | Duda, P. |
| 出版日期 | 2016 |
| 关键词 | FEM polar coordinate system numerical methods transient heat conduction power boilers system Thermodynamics Engineering |
| 中文摘要 | The aim of this paper is the formulation of the finite element method in polar coordinates to solve transient heat conduction problems. It is hard to find in the literature a formulation of the finite element method (FEM) in polar or cylindrical coordinates for the solution of heat transfer problems. This document shows how to apply the most often used boundary conditions. The global equation system is solved by the Crank-Nicolson method. The proposed algorithm is verified in three numerical tests. In the first example, the obtained transient temperature distribution is compared with the temperature obtained from the presented analytical solution. In the second numerical example, the variable boundary condition is assumed. In the last numerical example the component with the shape different than cylindrical is used. All examples show that the introduction of the polar coordinate system gives better results than in the Cartesian coordinate system. The finite element method formulation in polar coordinates is valuable since it provides a higher accuracy of the calculations without compacting the mesh in cylindrical or similar to tubular components. The proposed method can be applied for circular elements such as boiler drums, outlet headers, flux tubes. This algorithm can be useful during the solution of inverse problems, which do not allow for high density grid. This method can calculate the temperature distribution in the bodies of different properties in the circumferential and the radial direction. The presented algorithm can be developed for other coordinate systems. The examples demonstrate a good accuracy and stability of the proposed method. |
| 源URL | [http://ir.etp.ac.cn/handle/311046/113092]  |
| 专题 | 工程热物理研究所_Journal of Thermal Science_期刊论文 |
| 作者单位 | [Duda, Piotr] Cracow Univ Technol, Fac Mech Engn, Inst Thermal Power Engn, Al Jana Pawla 2 37, PL-31864 Krakow, Poland. |
| 推荐引用方式 GB/T 7714 | Duda, P.. Finite Element Method Formulation in Polar Coordinates for Transient Heat Conduction Problems[J],2016. |
| APA | Duda, P..(2016).Finite Element Method Formulation in Polar Coordinates for Transient Heat Conduction Problems.. |
| MLA | Duda, P.."Finite Element Method Formulation in Polar Coordinates for Transient Heat Conduction Problems".(2016). |
入库方式： OAI收割
来源：工程热物理研究所
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