Articles

Mixed convection in gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms

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  • 1. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
    2. Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent 119260, Singapore;
    3. Department of Mathematics, Babe?-Bolyai University, Cluj-Napoca R-400084, Romania

Received date: 2014-05-13

  Revised date: 2014-06-13

  Online published: 2015-02-01

Supported by

Project supported by the Program for New Century Excellent Talents in University (No.NCET-12-0347)

Abstract

Analysis of a gravity-induced film flow of a fluid containing both nanoparticles and gyrotactic microorganisms along a convectively heated vertical surface is presented. The Buongiorno model is applied. Two kinds of boundary conditions, the passive and the active boundary conditions, are considered to investigate this film flow phenomenon. Through a set of similarity variables, the ordinary differential equations that describe the conservation of the momentum, the thermal energy, the nanoparticles, and the microorganisms are derived and then solved numerically by an efficient finite difference technique. The effects of various physical parameters on the profiles of momentum, thermal energy, nanoparticles, microorganisms, local skin friction, local Nusselt number, local wall mass flux, and local wall motile microorganisms flux are investigated. It is expected that the passively controlled nanofluid model can be much more easily achieved and applied in real circumstances than the actively controlled model.

Cite this article

A. RAEES;Hang XU;Qiang SUN;I. POP . Mixed convection in gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms[J]. Applied Mathematics and Mechanics, 2015 , 36(2) : 163 -178 . DOI: 10.1007/s10483-015-1901-7

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