轴对称的不可压缩Stokes流动问题在球坐标系下的古典解  

Classical solution of the axi-symmetric incompressible Stokes flow problems in the spherical coordinate system

作　　者：葛玉丽[1] 

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《南阳师范学院学报》2015年第9期5-9,18,共6页Journal of Nanyang Normal University

基　　金：河南省自然科学基金(132300410211;112300410440)资助

摘　　要：利用直接微分方法,结合笛卡尔坐标系下的Navier-Stokes方程的数学形式,通过计算建立了球坐标系下Navier-Stokes方程的完整表示形式.同时,考虑不可压缩Stokes流体流动的特点,略去Navier-Stokes方程中的惯性力项,采用分离变量法得到了Stokes流动问题的古典解.This paper establishes a complete representation of Navier-Stokes equations in the spherical coordinate system by calculating, and direct differential method combining with mathematical form of the Navier-Stokes equations in the Cartesian coordinate system are used as well. Meanwhile, considering the characteristics of the incompressible fluid flow, omitting inertial force term of the Navier-Stokes equations, the author gets the classical solutions of the Stokes flow using separation of variables.

关 键 词：Navier—Stokes方程 球面坐标 轴对称 分离变量法 古典解 

分 类 号：O174.55[理学—数学]