Navier-Stokes方程的球坐标列矢量变换  

Vector Transform of Spherical Coordinate Form of Navier-Stokes Equation

作　　者：林鑫[1] 豆中强[1] 陈永光[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《江汉大学学报（自然科学版）》2006年第3期11-13,29,共4页Journal of Jianghan University：Natural Science Edition

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.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.

关 键 词：NAVIER-STOKES方程 过渡矩阵 球坐标系 应力张量 

分 类 号：O351.1[理学—流体力学]