Numerical study of unsteady flow and heat transfer CNT-based MHD nanofluid with variable viscosity over a permeable shrinking surface

被引:103
作者
Ahmed, Zahid [1 ]
Nadeem, Sohail [1 ]
Saleem, Salman [2 ]
Ellahi, Rahmat [3 ,4 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia
[3] King Fahd Univ Petr & Minerals, Res Inst, Ctr Modeling & Comp Simulat, Dhahran, Saudi Arabia
[4] IIUI, FBAS, Dept Math & Stat, Islamabad, Pakistan
关键词
Nanofluids; MHD; Variable viscosity; Shrinking sheet; Keller box method; Carbon nanotubes; MHD flow; THERMAL-CONDUCTIVITY; POISEUILLE FLOW; POROUS-MEDIUM; FLUID; CONVECTION; LAYER; SLIP; INSTABILITY; FERROFLUID; RADIATION;
D O I
10.1108/HFF-04-2019-0346
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 present a novel model on the unsteady MHD flow of heat transfer in carbon nanotubes with variable viscosity over a shrinking surface. Design/methodology/approach The temperature-dependent viscosity makes the proposed model non-linear and coupled. Consequently, the resulting non-linear partial differential equations are first reformed into set of ordinary differential equations through appropriate transformations and boundary layer approximation and are then solved numerically by the Keller box method. Findings Graphical and numerical results are executed keeping temperature-dependent viscosity of nanofluid. It is noted that, for diverse critical points, it is found that at one side of these critical values, multiple solutions exist; on the other side, no solution exists. A comparison is also computed for the special case of existing study. The temperature and pressure profiles are also plotted for various effective parameters. Originality/value The work is original.
引用
收藏
页码:4607 / 4623
页数:17
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