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

doi:10.1088/1674-1056/23/9/090203

›› 2014, Vol. 23 ›› Issue (9): 90203-090203.doi: 10.1088/1674-1056/23/9/090203

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

H. M. El-Hawary^a, Mostafa A. A. Mahmoud^b, Reda G. Abdel-Rahman^b, Abeer S. Elfeshawey^b

a Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt;
b Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

收稿日期:2013-10-28 修回日期:2014-03-28 出版日期:2014-09-15 发布日期:2014-09-15

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

H. M. El-Hawary^a, Mostafa A. A. Mahmoud^b, Reda G. Abdel-Rahman^b, Abeer S. Elfeshawey^b

a Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt;
b Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

Received:2013-10-28 Revised:2014-03-28 Online:2014-09-15 Published:2014-09-15
Contact: Abeer S. Elfeshawey E-mail:abeer_elfeshawey@yahoo.com

摘要/Abstract

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.

关键词: non-Newtonian fluid, stagnation point, two-parameter group method, variable viscosity

Abstract: 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.

Key words: non-Newtonian fluid, stagnation point, two-parameter group method, variable viscosity

中图分类号: (Ordinary and partial differential equations; boundary value problems)

02.60.Lj

02.60.Cb (Numerical simulation; solution of equations) 31.15.xh (Group-theoretical methods)

H. M. El-Hawary, Mostafa A. A. Mahmoud, Reda G. Abdel-Rahman, Abeer S. Elfeshawey. Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection[J]. , 2014, 23(9): 90203-090203.

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

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

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