| 用广义矩阵法求任意正交曲线坐标系中的导热方程 |
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| 引用本文： | 朱菊香,叶勤兴. 用广义矩阵法求任意正交曲线坐标系中的导热方程[J]. 浙江工业大学学报, 2000, 0(Z1) |
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| 作者姓名： | 朱菊香 叶勤兴 |
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| 作者单位： | [1]浙江工业大学化工学院 [2]浙江省劳动厅 |
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| 摘 要： | 本文基于非笛卡儿张量分析的广义矩阵法 ,导出求任意正交曲线坐标系导热方程的张量表达式 ,并将它转化为矩阵式 ,借以得出任意正交曲线坐标系的导热方程 ,并用示例加以说明。实践证明 ,这种方法是准确的、简便的 ,从而拓宽了非笛卡儿张量的应用领域
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| 关 键 词： | 非笛卡儿张量 曲线坐标系 导热方程 广义矩阵法 |
With generalized matrix method solve heat conduction equations in an arbitrary coordinates |
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| ZHU Ju xiang ,YE Qin xing. With generalized matrix method solve heat conduction equations in an arbitrary coordinates[J]. Journal of Zhejiang University of Technology, 2000, 0(Z1) |
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| Authors: | ZHU Ju xiang YE Qin xing |
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| Affiliation: | ZHU Ju xiang 1,YE Qin xing 2 |
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| Abstract: | By means of the generalized matrix method based on non-Cartesian tensor analysis, in an arbitrary coordinates the heat conduction equations are derived. And according to the boundary geometric figure of a given problem it proves to be simple and convenient . To find the analytic Expressions in a selected 3-D space system by this method. An example of deriving basic formulae of heat conduction equations in an arbitrary coordinates system is presented . This method can be further used to derive the expressions of other mathematical models, etc. |
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| Keywords: | non-Cartesian tensor arbitrary curvilinear coordinates heat conduction equations generalized matrix method |
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