Mass and heat transfer study in solids of revolution via numerical simulations using finite volume method and generalized coordinates for the Cauchy boundary condition

Wilton Pereira da Silva; Cleide M.D.P.S. e Silva; Diogo D.P.S. e Silva; Gelmires de Araujo Neves; Antonio Gilson Barbosa de Lima

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Mass and heat transfer study in solids of revolution via numerical simulations using finite volume method and generalized coordinates for the Cauchy boundary condition

机译：通过有限体积法和柯西边界条件的广义坐标的数值模拟研究旋转固体中的质量和传热

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摘要

This paper proposes a numerical solution for the diffusion equation with convective boundary condition applied to solids obtained through the revolution of arbitrary bi-dimensional geometries, using generalized coordinates. The diffusion equation was discretized using the finite volume method, with a fully implicit formulation. The solution exploits symmetry conditions and that decreases the computational effort demanded, in comparison to the traditional use of three-dimensional grids. The proposed solution was used to describe diffusion processes which have a well-known solution. There was a good agreement among the results obtained through the proposed solution and the correspondent analytical solutions, as well as the experimental data.

机译：本文提出了对流边界条件的扩散方程的数值解，该方程适用于通过任意二维几何体旋转而获得的固体，并使用广义坐标。扩散方程使用有限体积法离散化，并采用完全隐式表示。与传统使用三维网格相比，该解决方案利用对称条件，减少了所需的计算量。所提出的解决方案用于描述具有众所周知的解决方案的扩散过程。通过提出的解决方案和相应的分析解决方案以及实验数据获得的结果之间有很好的一致性。

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来源
《International Journal of Heat and Mass Transfer》 |2010年第6期|1183-1194|共12页
作者
Wilton Pereira da Silva; Cleide M.D.P.S. e Silva; Diogo D.P.S. e Silva; Gelmires de Araujo Neves; Antonio Gilson Barbosa de Lima;
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作者单位

Universidade Federal de Campina Grande, Centro de Ciencias e Tecnologia, Deparatmento de Fisica, Campina Grande, PB, CEP 58109-970, Brazil;

Universidade Federal de Campina Grande, Centro de Ciencias e Tecnologia, Deparatmento de Fisica, Campina Grande, PB, CEP 58109-970, Brazil;

Universidade Federal de Campina Grande, Centro de Ciencias e Tecnologia,, Departamento de Matematica e Estatistica, Campina Grande, PB, Brazil;

Universidade Federal de Campina Grande, CCT, DEMat, Campina Grande, PB, Brazil;

Universidade Federal de Campina Grande, CCT, DEM, C. Grande, PB, Brazil;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
complex geometries; drying; cooling; non-orthogonal grid; finite volumes; generalized coordinates;

机译：复杂的几何形状;烘干;冷却;非正交网格有限的体积广义坐标;

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1. Numerical simulation of diffusive processes in solids of revolution via the finite volume method and generalized coordinates [J] . Wilton Pereira da Silva, Juergen W. Precker, Diogo D.P.S. e Silva, International Journal of Heat and Mass Transfer . 2009,第21a22期

机译：旋转固体中扩散过程的有限体积法和广义坐标数值模拟
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机译：有限元法在传热问题中的应用。第一部分有限元法在非线性边界条件下的导热固体中的应用

Mass and heat transfer study in solids of revolution via numerical simulations using finite volume method and generalized coordinates for the Cauchy boundary condition

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