Abstract
The aim of this paper is to present a continuum model for bioconvection of oxytactic micro-organisms in a non-Darcy porous medium and to investigate the effects of bioconvection and mixed convection on the steady boundary layer flow past a horizontal plate embedded in a porous medium filled with a water-based nanofluid. The governing partial differential equations for momentum, heat, oxygen and micro-organism conservation are reduced to a set of nonlinear ordinary differential equations using similarity transformations that are numerically solved using a built-in MATLAB ODE solver. The effects of the bioconvection parameters on the nanofluid fluid properties, nanoparticle concentration and the density of the micro-organism are analyzed. A comparative analysis of our results with those previously reported in the literature is given. Among the significant findings in this study is that bioconvection parameters highly influence heat, mass and motile micro-organism transfer rates.
| Original language | English |
|---|---|
| Article number | 1450005 |
| Journal | International Journal of Biomathematics |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1 2014 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Applied Mathematics
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Bioconvection in a non-Darcy porous medium saturated with a nanofluid and oxytactic micro-organisms. / Shaw, S.; Kameswaran, P. K.; Narayana, M.; Sibanda, P.
In: International Journal of Biomathematics, Vol. 7, No. 1, 1450005, 01.01.2014.Research output: Contribution to journal › Article
TY - JOUR
T1 - Bioconvection in a non-Darcy porous medium saturated with a nanofluid and oxytactic micro-organisms
AU - Shaw, S.
AU - Kameswaran, P. K.
AU - Narayana, M.
AU - Sibanda, P.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - The aim of this paper is to present a continuum model for bioconvection of oxytactic micro-organisms in a non-Darcy porous medium and to investigate the effects of bioconvection and mixed convection on the steady boundary layer flow past a horizontal plate embedded in a porous medium filled with a water-based nanofluid. The governing partial differential equations for momentum, heat, oxygen and micro-organism conservation are reduced to a set of nonlinear ordinary differential equations using similarity transformations that are numerically solved using a built-in MATLAB ODE solver. The effects of the bioconvection parameters on the nanofluid fluid properties, nanoparticle concentration and the density of the micro-organism are analyzed. A comparative analysis of our results with those previously reported in the literature is given. Among the significant findings in this study is that bioconvection parameters highly influence heat, mass and motile micro-organism transfer rates.
AB - The aim of this paper is to present a continuum model for bioconvection of oxytactic micro-organisms in a non-Darcy porous medium and to investigate the effects of bioconvection and mixed convection on the steady boundary layer flow past a horizontal plate embedded in a porous medium filled with a water-based nanofluid. The governing partial differential equations for momentum, heat, oxygen and micro-organism conservation are reduced to a set of nonlinear ordinary differential equations using similarity transformations that are numerically solved using a built-in MATLAB ODE solver. The effects of the bioconvection parameters on the nanofluid fluid properties, nanoparticle concentration and the density of the micro-organism are analyzed. A comparative analysis of our results with those previously reported in the literature is given. Among the significant findings in this study is that bioconvection parameters highly influence heat, mass and motile micro-organism transfer rates.
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U2 - 10.1142/S1793524514500053
DO - 10.1142/S1793524514500053
M3 - Article
VL - 7
JO - International Journal of Biomathematics
JF - International Journal of Biomathematics
SN - 1793-5245
IS - 1
M1 - 1450005
ER -