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Research Papers: Porous Media

Steady Mixed Convection Flow on a Horizontal Circular Cylinder Embedded in a Porous Medium Filled by a Nanofluid Containing Gyrotactic Micro-Organisms

[+] Author and Article Information
L. Tham

Faculty of Agro Based Industry,
Universiti Malaysia Kelantan,
17600 Jeli,
Kelantan, Malaysia
e-mail: leonytham@gmail.com

R. Nazar

School of Mathematical Sciences,
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
43600 UKM Bangi,
Selangor, Malaysia
e-mail: rmn72my@yahoo.com

I. Pop

Department of Mathematics,
Babeş-Bolyai University,
R-400084 Cluj-Napoca, Romania
e-mail: popm.ioan@yahoo.co.uk

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received November 9, 2012; final manuscript received April 30, 2013; published online August 19, 2013. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 135(10), 102601 (Aug 19, 2013) (8 pages) Paper No: HT-12-1603; doi: 10.1115/1.4024387 History: Received November 09, 2012; Revised April 30, 2013

In this paper, the steady mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature embedded in a porous medium saturated by a nanofluid containing both nanoparticles and gyrotactic micro-organisms in a stream flowing vertically upwards for both cases of a heated and cooled cylinder is numerically studied. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme. By considering the governing parameters, namely, the mixed convection parameter λ, the bioconvection Lewis number Lb, the traditional Lewis number Le, the bioconvection Péclet number Pb, the buoyancy ratio Nr, the bioconvection Rayleigh number Rb, the Brownian motion Nb, and the thermophoresis Nt, the numerical results are obtained and discussed for the skin friction coefficient, the local Nusselt number, the local Sherwood number, the local density number of the motile micro-organisms as well as the velocity, temperature, nanoparticle volume fraction, and density motile micro-organisms profiles.

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References

Figures

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Fig. 1

Physical model and co-ordinate system

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Fig. 2

Effect of nanofluid and bioconvection parameters on the velocity and temperature profiles, with σ = 1

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Fig. 3

Effect of bioconvection Rayleigh number and buoyancy ratio parameter on the velocity profile, for assisting and opposing flows, with σ = 1

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Fig. 4

Effect of bioconvection Rayleigh and Lewis numbers on the velocity profile, for assisting and opposing flows, with σ = 1

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Fig. 5

Effect of bioconvection Rayleigh and Péclet numbers on the velocity profile, for assisting and opposing flows, with σ = 1

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Fig. 6

Effect of bioconvection Rayleigh number and buoyancy ratio parameter on the density of motile micro-organism profile, for assisting and opposing flows, with σ = 1

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Fig. 7

Effect of bioconvection Rayleigh and Lewis numbers on the density of motile micro-organism profile, for assisting and opposing flows, with σ = 1

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Fig. 8

Effect of bioconvection Rayleigh and Péclet numbers on the density of motile micro-organism profile, for assisting and opposing flows, with σ = 1

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Fig. 9

Effect of bioconvection Rayleigh number and buoyancy ratio parameter on local density number of the motile micro-organisms Pex−1/2Nnx, for assisting and opposing flows, with σ = 1

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Fig. 10

Effect of bioconvection Rayleigh and Lewis numbers on local density number of the motile micro-organisms Pex−1/2 Nnx, for assisting and opposing flows, with σ = 1

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Fig. 11

Effect of bioconvection Rayleigh and Péclet numbers on local density number of the motile micro-organisms Pex−1/2 Nnx, for assisting and opposing flows, with σ = 1

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