4.7 Article

Three-dimensional stagnation flow of a nanofluid containing both nanoparticles and microorganisms on a moving surface with anisotropic slip

期刊

APPLIED MATHEMATICAL MODELLING
卷 40, 期 5-6, 页码 4136-4150

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.11.022

关键词

Stagnation flow; Bioconvection; Passively controlled nanofluid model; Anistropic slip

资金

  1. Program for New Century Excellent Talents in University [NCET-12-0347]

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In this paper, we have extended Wang's (2013) problem of the three-dimensional stagnation flow of a Newtonian fluid on a moving plate with anistropic slip to the case of a nanofluid in suspension of both the nanoparticles and microorganisms. The passively controlled nanofluid model is taken into account to describe this problem, which is believed to be physically more realistic than previously commonly used models. The problem is then reduced by a set of similarity transformations to seven coupled nonlinear ordinary equations with coupled boundary conditions. Numerical solutions are given by means of a very efficient finite difference method. The influences of various physical parameters on the distributions of the velocity, the temperature, the nanoparticle volumetric fraction, the density of motile microorganisms profiles, as well as the local skin friction coefficient, the local Nusselt number, the local wall mass flux and the local density of the motile microorganisms are presented and discussed. (C) 2015 Elsevier Inc. All rights reserved.

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