Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model

The Buongiorno model is used in the study which takes into account the effects of Brownian motion and thermophoresis on free and mixed convections boundary layer problem. The governing partial differential equations are transformed into a nonlinear ordinary differential equations using similarity...

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Main Author: Abu Bakar, Nor Ashikin
Format: Thesis
Language:English
Published: 2018
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Online Access:http://psasir.upm.edu.my/id/eprint/83669/1/FS%202019%2020%20-%20ir.pdf
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spelling my-upm-ir.836692022-01-05T04:38:58Z Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model 2018-10 Abu Bakar, Nor Ashikin The Buongiorno model is used in the study which takes into account the effects of Brownian motion and thermophoresis on free and mixed convections boundary layer problem. The governing partial differential equations are transformed into a nonlinear ordinary differential equations using similarity transformations. These ordinary differential equations are then solved numerically using shooting method with the help of Maple software and bvp4c codes in Matlab software. Numerical results for the skin friction coefficient, local Nusselt number and local Sherwood number as well as velocity, temperature and nanoparticle concentration profiles are presented graphically. The governing parameters in this study are Brownian motion parameter Nb, thermophoresis parameter Nt, suction parameter S, mixed convection parameter l, stretching or shrinking parameter e, velocity ratio parameter v, velocity slip parameter s, Biot number Bi, nonlinear parameter n, curvature parameter g, Soret number Sr and Dufour number Du. It is observed that the skin friction coefficient and local Nusselt and Sherwood numbers both represent the heat and mass transfer rate are significantly controlled by these parameters. Brownian motion and thermophoresis parameters are able to enhance the heat transfer rate when both have small values. An increment of the heat transfer rate increases the cooling process, while the decrement of heat transfer rate enhanced the heating process at the surface. Dual solutions are found exists for a certain range of suction, stretching or shrinking, mixed convection and moving parameters. It is noticed that suction and partial slip widens the range in which the dual solutions exist. Furthermore, the first solution is found stable meanwhile the second solution is unstable and it is obtained by performing a stability analysis. Boundary value problems Difference equations - Numerical solutions 2018-10 Thesis http://psasir.upm.edu.my/id/eprint/83669/ http://psasir.upm.edu.my/id/eprint/83669/1/FS%202019%2020%20-%20ir.pdf text en public doctoral Universiti Putra Malaysia Boundary value problems Difference equations - Numerical solutions Bachok @ Lati, Norfifah
institution Universiti Putra Malaysia
collection PSAS Institutional Repository
language English
advisor Bachok @ Lati, Norfifah
topic Boundary value problems
Difference equations - Numerical solutions

spellingShingle Boundary value problems
Difference equations - Numerical solutions

Abu Bakar, Nor Ashikin
Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
description The Buongiorno model is used in the study which takes into account the effects of Brownian motion and thermophoresis on free and mixed convections boundary layer problem. The governing partial differential equations are transformed into a nonlinear ordinary differential equations using similarity transformations. These ordinary differential equations are then solved numerically using shooting method with the help of Maple software and bvp4c codes in Matlab software. Numerical results for the skin friction coefficient, local Nusselt number and local Sherwood number as well as velocity, temperature and nanoparticle concentration profiles are presented graphically. The governing parameters in this study are Brownian motion parameter Nb, thermophoresis parameter Nt, suction parameter S, mixed convection parameter l, stretching or shrinking parameter e, velocity ratio parameter v, velocity slip parameter s, Biot number Bi, nonlinear parameter n, curvature parameter g, Soret number Sr and Dufour number Du. It is observed that the skin friction coefficient and local Nusselt and Sherwood numbers both represent the heat and mass transfer rate are significantly controlled by these parameters. Brownian motion and thermophoresis parameters are able to enhance the heat transfer rate when both have small values. An increment of the heat transfer rate increases the cooling process, while the decrement of heat transfer rate enhanced the heating process at the surface. Dual solutions are found exists for a certain range of suction, stretching or shrinking, mixed convection and moving parameters. It is noticed that suction and partial slip widens the range in which the dual solutions exist. Furthermore, the first solution is found stable meanwhile the second solution is unstable and it is obtained by performing a stability analysis.
format Thesis
qualification_level Doctorate
author Abu Bakar, Nor Ashikin
author_facet Abu Bakar, Nor Ashikin
author_sort Abu Bakar, Nor Ashikin
title Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
title_short Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
title_full Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
title_fullStr Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
title_full_unstemmed Free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
title_sort free and mixed convection boundary layer flow, heat and mass transfer in nanofluid using buongiorno model
granting_institution Universiti Putra Malaysia
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/83669/1/FS%202019%2020%20-%20ir.pdf
_version_ 1747813406838095872