Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition

被引:120
作者
Ellahi, R. [1 ,2 ]
Shivanian, E. [3 ]
Abbasbandy, S. [3 ]
Hayat, T. [4 ,5 ]
机构
[1] IIUI, Dept Math & Stat, Islamabad, Pakistan
[2] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA
[3] Imam Khomeini Int Univ, Dept Math, Ghazvin, Iran
[4] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[5] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
关键词
Heat transfer; Chebyshev-Gauss-Lobatto points; Eyring-Powell fluid; MHD generalized Couette flow; Newton iteration method; Pseudo-spectral collocation method; Least square method; MHD;
D O I
10.1108/HFF-04-2015-0131
中图分类号
O414.1 [热力学];
学科分类号
摘要
Purpose - The purpose of this paper is to study the generalized Couette flow of Eyring-Powell fluid. The paper aims to discuss diverse issues befell for the heat transfer, magnetohydrodynamics and slip. Design/methodology/approach - A hybrid technique based on pseudo-spectral collocation is applied for the solution of nonlinear resulting system. Findings - Viscous fluid results which are yet not available can be taken as a limiting case of presented problem. The results for the case of Hartmann flow can be obtained as a special case when plate velocity is zero, i.e. pressure gradient induced flow. The results for the zero fluid slip and no thermal slip also become special cases of this work, and the results can be recovered by setting, and to zero. These solutions are valid not only for small but also for large values of all emerging parameters. Originality/value - This model is investigated for the first time, as the authors know.
引用
收藏
页码:1433 / 1445
页数:13
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