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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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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.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第9期43-53,共11页 中国物理B(英文版)
关键词 non-Newtonian fluid stagnation point two-parameter group method variable viscosity non-Newtonian fluid, stagnation point, two-parameter group method, variable viscosity
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参考文献27

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