Free Convective Flow of Non-Newtonian Nanofluids in Porous Media with Gyrotactic Microorganism

The two-dimensional steady laminar boundary-layer free convective flows along an isothermal solid horizontal flat plate located in a porous quiescent medium filled with non-Newtonian power law nanofluids that contain both nanoparticles and gyrotactic microorganisms are investigated numerically. The...

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Bibliographic Details
Published in:Journal of thermophysics and heat transfer 2013-04, Vol.27 (2), p.326-333
Main Authors: Uddin, Md. Jashim, Khan, W. A, Ismail, A. I. Md
Format: Article
Language:English
Subjects:
Applied fluid mechanics
Convective flow
Density
Dimensionless numbers
Exact sciences and technology
Flat plates
Flows through porous media
Fluid dynamics
Fluidics
Fundamental areas of phenomenology (including applications)
Heat transfer
Laminar boundary layers
Laminar flow
Laminar flows
Mass transfer
Microorganisms
Nanofluids
Nanomaterials
Nanoparticles
Nanostructure
Non-newtonian fluid flows
Nonhomogeneous flows
Nonlinear differential equations
Ordinary differential equations
Parameters
Partial differential equations
Physics
Porous media
Similarity
Transformations
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Summary:The two-dimensional steady laminar boundary-layer free convective flows along an isothermal solid horizontal flat plate located in a porous quiescent medium filled with non-Newtonian power law nanofluids that contain both nanoparticles and gyrotactic microorganisms are investigated numerically. The horizontal plate has uniform surface temperature, solute, nanoparticle concentrations and density of the motile microorganism. The governing partial differential equations are nondimensionalized, and then similarity transformations are developed using a linear group of transformations. Using similarity transformation, the governing equations are reduced to a system of nonlinear ordinary differential equations, which are solved numerically. The influence of controlling parameters on the dimensionless velocity, temperature, nanoparticle concentration, and density of motile microorganisms, as well as the local Nusselt, Sherwood, and motile microorganism numbers, are studied. It is found that the bioconvection parameters have strong effects on the flow, heat and mass transfer, and motile microorganism numbers. An excellent agreement is found between numerical results of the study with published results in the open literature for special cases.
ISSN:0887-8722
1533-6808
DOI:10.2514/1.T3983