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Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate

We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial di...

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Autores principales: Mutuku-Njane, Winifred Nduku, Makinde, Oluwole Daniel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3814100/
https://www.ncbi.nlm.nih.gov/pubmed/24222749
http://dx.doi.org/10.1155/2013/725643
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author Mutuku-Njane, Winifred Nduku
Makinde, Oluwole Daniel
author_facet Mutuku-Njane, Winifred Nduku
Makinde, Oluwole Daniel
author_sort Mutuku-Njane, Winifred Nduku
collection PubMed
description We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically by employing fourth-order Runge-Kutta with a shooting technique. Three different water-based nanofluids containing copper (Cu), aluminium oxide (Al(2)O(3)), and titanium dioxide (TiO(2)) are taken into consideration. Graphical results are presented and discussed quantitatively with respect to the influence of pertinent parameters, such as solid volume fraction of nanoparticles (φ), magnetic field parameter (Ha), buoyancy effect (Gr), Eckert number (Ec), suction/injection parameter (f (w)), Biot number (Bi), and slip parameter (β), on the dimensionless velocity, temperature, skin friction coefficient, and heat transfer rate.
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spelling pubmed-38141002013-11-11 Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate Mutuku-Njane, Winifred Nduku Makinde, Oluwole Daniel ScientificWorldJournal Research Article We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically by employing fourth-order Runge-Kutta with a shooting technique. Three different water-based nanofluids containing copper (Cu), aluminium oxide (Al(2)O(3)), and titanium dioxide (TiO(2)) are taken into consideration. Graphical results are presented and discussed quantitatively with respect to the influence of pertinent parameters, such as solid volume fraction of nanoparticles (φ), magnetic field parameter (Ha), buoyancy effect (Gr), Eckert number (Ec), suction/injection parameter (f (w)), Biot number (Bi), and slip parameter (β), on the dimensionless velocity, temperature, skin friction coefficient, and heat transfer rate. Hindawi Publishing Corporation 2013-10-03 /pmc/articles/PMC3814100/ /pubmed/24222749 http://dx.doi.org/10.1155/2013/725643 Text en Copyright © 2013 W. N. Mutuku-Njane and O. D. Makinde. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Mutuku-Njane, Winifred Nduku
Makinde, Oluwole Daniel
Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate
title Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate
title_full Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate
title_fullStr Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate
title_full_unstemmed Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate
title_short Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate
title_sort combined effect of buoyancy force and navier slip on mhd flow of a nanofluid over a convectively heated vertical porous plate
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3814100/
https://www.ncbi.nlm.nih.gov/pubmed/24222749
http://dx.doi.org/10.1155/2013/725643
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