Three-dimensional free bio-convection of nanofluid near stagnation point on general curved isothermal surface

doi:10.1007/s10483-016-2046-9

Abstract

Abstract:

In this paper, the three-dimensional nanofluid bio-convection near a stagnation attachment is studied. With a set of similarity variables, the governing equations embodying the conservation of total mass, momentum, thermal energy, nanoparticles and microorganisms are reduced to a set of fully coupled nonlinear differential equations. The homotopy analysis method (HAM)-finite difference method (FDM) technique is used to obtain exact solutions. The effect of various physical parameters on distribution of the motile microorganisms and the important physical quantities of practical interests are presented and discussed.

Key words: gyrotactic microorganisms, bioconvection, nanofluid, stagnation point, homotopy analysis method (HAM)-finite difference method (FDM)

2010 MSC Number:

76D05
76M99

Qingkai ZHAO, Hang XU, Longbin TAO, A. RAEES, Qiang SUN. Three-dimensional free bio-convection of nanofluid near stagnation point on general curved isothermal surface. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 417-432.

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