DTM-BF method and dual solutions for unsteady MHD flow over permeable shrinking sheet with velocity slip  

作　　者：苏晓红 郑连存 张欣欣 

机构地区：[1]Department of Mathematics and Mechanics,University of Science and Technology Beijing [2]Department of Mathematics and Physics,North China Electric Power University [3]Mechanical Engineering School,University of Science and Technology Beijing

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第12期1555-1568,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 50936003 and 51076012)

摘　　要：An unsteady magnetohydrodynamic （MHD） boundary layer flow over a shrinking permeable sheet embedded in a moving viscous electrically conducting fluid is investigated both analytically and numerically. The velocity slip at the solid surface is taken into account in the boundary conditions. A novel analytical method named DTM- BF is proposed and used to get the approximate analytical solutions to the nonlinear governing equation along with the boundary conditions at infinity. All analytical results are compared with those obtained by a numerical method. The comparison shows good agreement, which validates the accuracy of the DTM-BF method. Moreover, the existence ranges of the dual solutions and the unique solution for various parameters are obtained. The effects of the velocity slip parameter, the unsteadiness parameter, the magnetic parameter, the suction/injection parameter, and the velocity ratio parameter on the skin friction, the unique velocity, and the dual velocity profiles are explored, respectively.An unsteady magnetohydrodynamic （MHD） boundary layer flow over a shrinking permeable sheet embedded in a moving viscous electrically conducting fluid is investigated both analytically and numerically. The velocity slip at the solid surface is taken into account in the boundary conditions. A novel analytical method named DTM- BF is proposed and used to get the approximate analytical solutions to the nonlinear governing equation along with the boundary conditions at infinity. All analytical results are compared with those obtained by a numerical method. The comparison shows good agreement, which validates the accuracy of the DTM-BF method. Moreover, the existence ranges of the dual solutions and the unique solution for various parameters are obtained. The effects of the velocity slip parameter, the unsteadiness parameter, the magnetic parameter, the suction/injection parameter, and the velocity ratio parameter on the skin friction, the unique velocity, and the dual velocity profiles are explored, respectively.

关 键 词：unsteady magnetohydrodynamic （MHD） flow shrinking sheet analyticalsolution slip condition dual solutions 

分 类 号：O361.3[理学—流体力学]