Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation
A numerical investigation of two dimensional steady state laminar boundary layer flow of a viscous electrically-conducting nanofluid in the vicinity of a stretching/shrinking porous flat plate located in a Darcian porous medium is performed. The nonlinear Rosseland radiation effect is taken into...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Elsevier
2016
|
| Subjects: |
| _version_ | 1825833569937784832 |
|---|---|
| author | Uddin, M.J. Rana, Puneet Be´g, O. Anwar Md. Ismail, A.I. |
| author_facet | Uddin, M.J. Rana, Puneet Be´g, O. Anwar Md. Ismail, A.I. |
| author_sort | Uddin, M.J. |
| collection | USM |
| description | A numerical investigation of two dimensional steady state laminar boundary layer flow
of a viscous electrically-conducting nanofluid in the vicinity of a stretching/shrinking porous flat
plate located in a Darcian porous medium is performed. The nonlinear Rosseland radiation effect
is taken into account. Velocity slip and thermal slip at the boundary as well as the newly developed
zero mass flux boundary conditions are also implemented to achieve physically applicable results.
The governing transport equations are reduced to a system of nonlinear ordinary differential equations
using appropriate similarity transformations and these are then solved numerically using a
variational finite element method (FEM). The influence of the governing parameters (Darcy number,
magnetic field, velocity and thermal slip, temperature ratio, transpiration, Brownian motion,
thermophoresis, Lewis number and Reynolds number) on the dimensionless velocity, temperature,
nanoparticle volume fraction as well as the skin friction, the heat transfer rates and the mass transfer
rates are examined and illustrated in detail. The FEM code is validated with earlier studies for
non-magnetic non-slip flow demonstrating close correlation. The present study is relevant to hightemperature
nano-materials processing operations. |
| first_indexed | 2024-03-06T15:09:48Z |
| format | Article |
| id | usm.eprints-36962 |
| institution | Universiti Sains Malaysia |
| last_indexed | 2024-03-06T15:09:48Z |
| publishDate | 2016 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | usm.eprints-369622017-10-05T08:52:47Z http://eprints.usm.my/36962/ Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation Uddin, M.J. Rana, Puneet Be´g, O. Anwar Md. Ismail, A.I. QA1-939 Mathematics A numerical investigation of two dimensional steady state laminar boundary layer flow of a viscous electrically-conducting nanofluid in the vicinity of a stretching/shrinking porous flat plate located in a Darcian porous medium is performed. The nonlinear Rosseland radiation effect is taken into account. Velocity slip and thermal slip at the boundary as well as the newly developed zero mass flux boundary conditions are also implemented to achieve physically applicable results. The governing transport equations are reduced to a system of nonlinear ordinary differential equations using appropriate similarity transformations and these are then solved numerically using a variational finite element method (FEM). The influence of the governing parameters (Darcy number, magnetic field, velocity and thermal slip, temperature ratio, transpiration, Brownian motion, thermophoresis, Lewis number and Reynolds number) on the dimensionless velocity, temperature, nanoparticle volume fraction as well as the skin friction, the heat transfer rates and the mass transfer rates are examined and illustrated in detail. The FEM code is validated with earlier studies for non-magnetic non-slip flow demonstrating close correlation. The present study is relevant to hightemperature nano-materials processing operations. Elsevier 2016-06 Article PeerReviewed Uddin, M.J. and Rana, Puneet and Be´g, O. Anwar and Md. Ismail, A.I. (2016) Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation. Alexandria Engineering Journal, 55 (2). pp. 1305-1319. ISSN 1110-0168 https://doi.org/10.1016/j.aej.2016.04.021 |
| spellingShingle | QA1-939 Mathematics Uddin, M.J. Rana, Puneet Be´g, O. Anwar Md. Ismail, A.I. Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| title | Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| title_full | Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| title_fullStr | Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| title_full_unstemmed | Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| title_short | Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| title_sort | finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation |
| topic | QA1-939 Mathematics |
| work_keys_str_mv | AT uddinmj finiteelementsimulationofmagnetohydrodynamicconvectivenanofluidslipflowinporousmediawithnonlinearradiation AT ranapuneet finiteelementsimulationofmagnetohydrodynamicconvectivenanofluidslipflowinporousmediawithnonlinearradiation AT begoanwar finiteelementsimulationofmagnetohydrodynamicconvectivenanofluidslipflowinporousmediawithnonlinearradiation AT mdismailai finiteelementsimulationofmagnetohydrodynamicconvectivenanofluidslipflowinporousmediawithnonlinearradiation |