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.
| Language | English |
|---|---|
| Pages | 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 | |
| Publication status | Published - 1 Apr 2016 |
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Keywords
- bioconvection
- gyrotactic microorganisms, homotopy analysis method (HAM)-finite difference method (FDM)
- nanofluid
- stagnation point
Cite this
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Three-dimensional free bio-convection of nanofluid near stagnation point on general curved isothermal surface. / Zhao, Qingkai; Xu, Hang; Tao, Longbin; Raees, A.; Sun, Qiang.
In: Applied Mathematics and Mechanics (English Edition), Vol. 37, No. 4, 01.04.2016, p. 417-432.Research output: Contribution to journal › Article
TY - JOUR
T1 - Three-dimensional free bio-convection of nanofluid near stagnation point on general curved isothermal surface
AU - Zhao, Qingkai
AU - Xu, Hang
AU - Tao, Longbin
AU - Raees, A.
AU - Sun, Qiang
PY - 2016/4/1
Y1 - 2016/4/1
N2 - 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.
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.
KW - bioconvection
KW - gyrotactic microorganisms, homotopy analysis method (HAM)-finite difference method (FDM)
KW - nanofluid
KW - stagnation point
UR - http://www.scopus.com/inward/record.url?scp=84960089466&partnerID=8YFLogxK
U2 - 10.1007/s10483-016-2046-9
DO - 10.1007/s10483-016-2046-9
M3 - Article
VL - 37
SP - 417
EP - 432
JO - Applied Mathematics and Mechanics (English Edition)
T2 - Applied Mathematics and Mechanics (English Edition)
JF - Applied Mathematics and Mechanics (English Edition)
SN - 0253-4827
IS - 4
ER -