Thermal radiation effects on flow of Jeffery fluid in converging and diverging stretchable channels

被引:23
作者
Ahmed, Naveed [1 ]
Abbasi, Adnan [2 ]
Khan, Umar [3 ]
Mohyud-Din, Syed Tauseef [1 ]
机构
[1] HITEC Univ, Dept Math, Fac Sci, Taxila Cantt, Pakistan
[2] Mohi Ud Din Islamic Univ, Dept Math, Narian Sharif, Azad Jammu & Ka, Pakistan
[3] COMSATS Inst Informat Technol, Dept Math, Abbottabad, Pakistan
关键词
Jeffery fluid; Converging and diverging channel; Adomian decomposition method; Nonlinear differential equations; Stretching; shrinking Runge-Kutta scheme; VARIATIONAL ITERATION METHOD; ADOMIAN DECOMPOSITION METHOD; HOMOTOPY PERTURBATION METHOD; BOUNDARY-VALUE-PROBLEMS; CONVERGENT/DIVERGENT CHANNELS; DIFFERENTIAL-EQUATIONS; NONLINEAR PROBLEMS; CHEMICAL-REACTION; VISCOUS-FLUID; MHD FLOW;
D O I
10.1007/s00521-016-2831-5
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper investigates the flow of Jeffery fluid between converging and diverging channels. The walls of the channel are assumed to be capable for stretching or shrinking. Also, the influence of thermal radiations on flow field is under consideration in stretchable converging and diverging channels. The set of highly nonlinear and dimensional flow model is transformed into a dimensionless system of ordinary differential equations. For said purpose, we utilized feasible similarity variables. Solution of the said system is then obtained with the help of Adomian decomposition method. For the sake of comparison, numerical solution is also calculated by using Runge-Kutta scheme of fourth-order coupled with shooting technique. The influence of ingrained nondimensional physical quantities is also investigated graphically for velocity and temperature fields. The comparison between the velocity fields of non-Newtonian and Newtonian cases are also portrayed graphically. Furthermore, some values for unknown constants that appeared in analytical solution are calculated for different values of dimensionless physical quantities.
引用
收藏
页码:2371 / 2379
页数:9
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