非线性拉伸片上粘性流体MHD流动的数值解  

Numerical solution to the MHD flow of a viscous fluid over a nonlinear stretching sheet

作　　者：胡敏[1] 

机构地区：[1]攀枝花学院数学与计算机学院,四川攀枝花617000

出　　处：《重庆文理学院学报（社会科学版）》2015年第5期26-29,54,共5页Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)

基　　金：攀枝花市自然科学基金项目(2014CY-G-22);攀枝花学院项目(2014YB40)

摘　　要：研究流经非线性拉伸片的粘性磁流体的边界层流动.在前人获得的常微分初边值问题的基础上,利用适当替换将其进一步简化,再利用Galerkin有限元方法将其化成非线性方程组,然后利用Newton迭代法求出此问题的数值解.最后在表格中列出数值结果,并与已知数值结果做比较.比较结果显示:该数值结果与已知数值结果基本吻合.这说明Galerkin有限元方法的可靠性和有效性.The magneto - hydrodynamic （MHD） boundary layer of a viscous fluid towards a nonlinear stretc- hing sheet is studied. Based on the problem of initial boundary value of ordinary differential obtained by the former expert, it was further simplified with proper replacement, and using Galerkin finite element method the nonlinear equations are obtained, then the reduced problem is solved by the Galerkin finite element method and Newton iterative method. The numerical solution is tabulated for the values of various parameters and compared with the known solutions. It is found that the numerical solution agrees with the known solu- tions, showing the reliability and validity of the Galerkin finite element method.

关 键 词：MHD流 非线性拉伸片 GALERKIN有限元方法 数值解 

分 类 号：O361.3[理学—流体力学]