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

Qingkai Zhao; Hang Xu; Longbin Tao; A. Raees; Qiang Sun

doi:10.1007/s10483-016-2046-9

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

Qingkai Zhao, Hang Xu, Longbin Tao, A. Raees, Qiang Sun

Naval Architecture, Ocean And Marine Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	417-432
Number of pages	16
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	37
Issue number	4
Early online date	9 Mar 2016
DOIs	https://doi.org/10.1007/s10483-016-2046-9
Publication status	Published - 1 Apr 2016

Keywords

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

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10.1007/s10483-016-2046-9

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

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.",

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AU - Zhao, Qingkai

AU - Xu, Hang

AU - Tao, Longbin

AU - Raees, A.

AU - Sun, Qiang

PY - 2016/4/1

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AB - 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.

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KW - gyrotactic microorganisms, homotopy analysis method (HAM)-finite difference method (FDM)

KW - nanofluid

KW - stagnation point

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JO - Applied Mathematics and Mechanics (English Edition)

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