Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel

被引：97

作者：

Farooq, U. ^{[1
]}

Hayat, T. ^{[3
,4
]}

Alsaedi, A. ^{[4
]}

Liao, Shijun ^{[1
,2
,4
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China

[2] Shanghai Jiao Tong Univ, MOE Key Lab Sci Comp, Shanghai 200240, Peoples R China

[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[4] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 242卷

基金：

中国国家自然科学基金;

关键词：

Two-layer flow; Third grade nano-fluid; Homotopy analysis method; BVPh; 2.0; DEVELOPED MIXED CONVECTION; 3RD GRADE FLUID; TRANSPORT; REVERSAL; PLATE;

D O I：

10.1016/j.amc.2014.05.126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The heat and mass transfer of two-layer flows of non-Newtonian (third-grade) fluid in a vertical channel is investigated in details, when one layer of water is nano-fluid and the other is clear, with the viscous dissipation. In each layer, the boundary-layer flow is governed by coupled nonlinear ordinary differential equations (ODEs). The systems of coupled nonlinear ODEs are solved analytically by means of a Mathematica package BVPh 2.0 based on the homotopy analysis method (HAM), an analytic approximation method for highly nonlinear problems. The influence of the physical parameters is studied in detailed. It is found that the layer of nano-fluid has many different properties from that of clear fluid. This paper also illustrates the validity and power of the HAM-based Mathematica package BVPh 2.0 for some complicated boundary-layer flows. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：528 / 540

页数：13