Analysis of three-dimensional boundary-layer nanofluid flow and heat transfer over a stretching surface by means of the homotopy analysis method

Boundary value problems

Tao Fan¹  Qingkai Zhao²  Hang Xu² 

[1] Post-Doctoral Research Station, Jiangnan Shipyard Group Co., Ltd, Shanghai, P.R. China;State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, P.R. China

关键词: boundary layer;    nanofluid flow;    stretching;    heat transfer;    explicit solution;   

DOI  :  10.1186/s13661-015-0327-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, an investigation is made of the three-dimensional flow and heat transfer of a nanofluid in the boundary-layer region over a flat sheet stretched continuously in two lateral directions. With the help of a series of similarity transformations, this problem is reduced to a set of three coupled differential equations. The homotopy analysis method (HAM) is then applied to derive the explicit solutions for both the velocity and the temperature distributions. A mathematical analysis shows that these solutions decay exponentially at far field. Besides, the influences of the nanoparticle volume fraction ϕ on the velocity and temperature profiles, as well as the reduced local skin friction coefficients and the reduced local Nusselt numbers are studied. It is found that the heat transfer conductivity of the nanofluid is superior to that of the pure fluids.

【 授权许可】

CC BY