Computational analysis of three layer fluid model including a nanomaterial layer

被引:29
作者
Lu, D. C. [1 ]
Farooq, U. [1 ,2 ]
Hayat, T. [3 ,4 ]
Rashidi, M. M. [5 ]
Ramzan, M. [6 ,7 ]
机构
[1] Jiangsu Univ, Sch Sci, Zhenjiang, Peoples R China
[2] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad 44000, Pakistan
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[5] Univ Birmingham, Dept Civil Engn, Birmingham B15 2TT, W Midlands, England
[6] Bahria Univ, Dept Comp Sci, Islamabad Campus, Islamabad 44000, Pakistan
[7] Sejong Univ, Dept Mech Engn, Seoul 143747, South Korea
关键词
BVPh2.0; Multi-layer flow; Optimal homotopy analysis method; Nanofluids; Nonlinear heat transfer; Reversed flow; MIXED CONVECTION FLOW; 2ND-ORDER VELOCITY SLIP; HEAT-TRANSFER; STRETCHING SURFACE; NATURAL-CONVECTION; CHEMICAL-REACTION; VERTICAL CHANNEL; UNSTEADY-FLOW; MASS-TRANSFER; POROUS-MEDIA;
D O I
10.1016/j.ijheatmasstransfer.2018.01.080
中图分类号
O414.1 [热力学];
学科分类号
摘要
Multi-layer flows regime occurs in many industrial processes such as petroleum and chemical industry, therefore the study of multi-layer flow in the presence of nanoparticles can be used to obtain desired qualities. This article investigates a vertical three-layer fluid model which incorporates two clear fluid layers and a nanofluid layer which is squeezed between them. A fully developed laminar, incompressible flow field is considered including viscous dissipation effects. The present framework is formulated by capitalizing Buongiorno model which integrate the combined effects of thermophoresis and Brownian motion. The set of ordinary differential equations (ODEs) are non-dimensionalized under appropriate transformations and a nonlinear differential system is than solved by BVPh2.0 solver which is based on an analytical technique named as homotopy analysis method (HAM). Based on the average squared residual error, a procedure for the highly accurate approximation is developed in BVPh2.0. For generalized set of physical parameters it is demonstrated that our obtained solutions are convergent. The influences of governing parameters on the temperature, flow and concentration are analyzed. The result shows a reversed flow for higher values of mixed convection parameter. Furthermore the flow and temperature characteristics at the interface for thermophoresis and Brownian motion parameters are examined numerically. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:222 / 228
页数:7
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