Analytical solution of magnetohydrodynamic sink flow

作     者：章骥 方铁钢 钟永芳 

作者机构：Mechanical and Aerospace Engineering Department North Carolina State UniversityRaleigh NC 27695 USA School of Engineering Penn State Erie the Behrend CollegeErie PA 16563-1701 USA 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2011年第32卷第10期

页      面：1221-1230页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：similarity solution Falkner-Skan equation stretching surface magnetohydrodynamic (MHD) analytical solution sink flow 

摘      要：An analytical solution to the famous Falkner-Skan equation for the magnetohydrodynamic （MHD） flow is obtained for a special case, namely, the sink flow with a velocity power index of-1. The solution is given in a closed form. Multiple solution branches are obtained. The effects of the magnetic parameter and the wall stretching parameter are analyzed. Interesting velocity profiles are observed with reversal flow regions even for a stationary wall. These solutions provide a rare case of the Falkner-Skan MHD flow with an analytical closed form formula. They greatly enrich the analytical solution for the celebrated Falkner-Skan equation and provide better understanding of this equation.