| Navier-Stokes方程的球坐标列矢量变换 |
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| 引用本文： | 林鑫,豆中强,陈永光.Navier-Stokes方程的球坐标列矢量变换[J].江汉大学学报(自然科学版),2006,34(3):11-13,29. |
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| 作者姓名： | 林鑫 豆中强 陈永光 |
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| 作者单位： | 重庆大学,数理学院,重庆,400044 |
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| 摘 要： | 流体力学中Navier-Stokes方程的坐标表示一般都比较复杂,计算过程十分烦琐,因此众多的书刊上都没有求解过程.本文利用过渡矩阵,先把Navier-Stokes方程中的粘滞应力张量由笛卡儿坐标系变换到球坐标系,然后对Navier-Stokes方程进行球坐标列矢量变换.推导结果和经典方法相同,证明了此方法的正确性.
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| 关 键 词： | Navier-Stokes方程 过渡矩阵 球坐标系 应力张量 |
| 文章编号： | 1673-0143（2006）03-0011-03 |
| 收稿时间： | 2006-03-16 |
| 修稿时间： | 2006年3月16日 |
Vector Transform of Spherical Coordinate Form of Navier-Stokes Equation |
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| LIN Xin,DOU Zhong-qiang,CHEN Yong-guang.Vector Transform of Spherical Coordinate Form of Navier-Stokes Equation[J].Journal of Jianghan University:Natural Sciences,2006,34(3):11-13,29. |
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| Authors: | LIN Xin DOU Zhong-qiang CHEN Yong-guang |
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| Abstract: | It is very complex to figure the spherical coordinate form of Navier-Stokes equation in fluid mechanics, so there are no solution process in many books and periodicals. Puts forward a simple method using the transitional matrix. Firstly transforms Cartesian coordinates of stress tensor, which in Navier-Stokes equation, to spherical coordinate, then does vector transform of spherical coordinate to Navier-Stokes equation. The results are the same comparing with the classical method. |
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| Keywords: | Navier-Stokes equation transitional matrix spherical coordinate stress tensor |
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