Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces

被引：43

作者：

Farooq, U. ^{[1
]}

Hayat, T. ^{[2
,3
]}

Alsaedi, A. ^{[3
]}

Liao, S. J. ^{[1
,3
]}

机构：

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

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

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

来源：

NUMERICAL ALGORITHMS | 2015年 / 70卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Non-similarity flow; Nanofluid; Convergent analytic solution; Homotopy analysis method (HAM); HOMOTOPY ANALYSIS METHOD; SHEET;

D O I：

10.1007/s11075-014-9934-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the convergent series solutions for the non-similarity flow of viscous fluid with nanoparticles are given. Fundamental equations employed in the mathematical modelling include the novel aspects of Brownian motion and thermophoresis. Non-similarity flow is induced by a stretching sheet with arbitrary velocity. The so-called homotopy analysis method (HAM) is applied to gain the convergent series solutions of the nonlinear partial differential equation. It is noticed that flow field, temperature and nanoparticle volume fraction profile are greatly influenced by the physical parameters such as Prandtl number, Brownian motion parameter, thermophoresis parameter and Lewis number. To the best of our knowledge, the present analysis seems to be a first attempt to non-similarity boundary layer flows of viscous fluids with nanoparticles.

引用

页码：43 / 59

页数：17

共 34 条

[21] Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation [J].