Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet  

作　　者：T.HAYAT M.IMTIAZ A.ALSAEDI 

机构地区：[1]Department of Mathematics, Quaid-i-Azam University [2]Department of Mathematics, Faculty of Science, King Abdulaziz University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2016年第5期573-582,共10页应用数学和力学（英文版）

摘　　要：The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transformations reduce a system of nonlinear partial differential equations to a system of ordinary dif- ferential equations. Convergence of series solution is discussed explicitly by a homotopy analysis method （HAM）. Velocity, temperature and heat transfer rates are examined for different involved parameters through graphs. It is revealed that for a larger retardation time constant, the velocity is enhanced and the temperature is lowered. It is noted that relaxation time constant and the Prandtl number enhance the heat transfer rate.The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transformations reduce a system of nonlinear partial differential equations to a system of ordinary dif- ferential equations. Convergence of series solution is discussed explicitly by a homotopy analysis method （HAM）. Velocity, temperature and heat transfer rates are examined for different involved parameters through graphs. It is revealed that for a larger retardation time constant, the velocity is enhanced and the temperature is lowered. It is noted that relaxation time constant and the Prandtl number enhance the heat transfer rate.

关 键 词：Oldroyd-B fluid homotopy analysis method （HAM） exponentially stretch-ing sheet 

分 类 号：O357.4[理学—流体力学]