Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection  

作　　者：H.M.El-Hawary Mostafa A.A.Mahmoud Reda G.Abdel-Rahman Abeer S.Elfeshawey 

机构地区：[1]Department of Mathematics,Faculty of Science,Assuit University [2]Department of Mathematics,Faculty of Science,Benha University

出　　处：《Chinese Physics B》2014年第9期43-53,共11页中国物理B（英文版）

摘　　要：The theoretic transformation group approach is applied to address the problem of unsteady boundary layer flow of a non-Newtonian fluid near a stagnation point with variable viscosity and thermal conductivity. The application of a two- parameter group method reduces the number of independent variables by two, and consequently the governing partial differential equations with the boundary conditions transformed into a system of ordinary differential equations with the appropriate corresponding conditions. Two systems of ordinary differential equations have been solved numerically using a fourth-order Runge-Kutta algorithm with a shooting technique. The effects of various parameters governing the problem are investigated.The theoretic transformation group approach is applied to address the problem of unsteady boundary layer flow of a non-Newtonian fluid near a stagnation point with variable viscosity and thermal conductivity. The application of a two- parameter group method reduces the number of independent variables by two, and consequently the governing partial differential equations with the boundary conditions transformed into a system of ordinary differential equations with the appropriate corresponding conditions. Two systems of ordinary differential equations have been solved numerically using a fourth-order Runge-Kutta algorithm with a shooting technique. The effects of various parameters governing the problem are investigated.

关 键 词：non-Newtonian fluid stagnation point two-parameter group method variable viscosity 

分 类 号：O373[理学—流体力学] P618.130.2[理学—力学]