Unsteady Magnetohydrodynamic Hartmann Flow of a Casson Nanofluid Through a Non-Darcian Porous Medium Under an Exponential Decaying Pressure Gradient

被引:1
作者
El-Dabe, N. T. [1 ]
Attia, H. A. [2 ]
Essawy, M. A. I. [3 ]
Ramadan, A. A. [4 ]
Abdel-Hamid, A. H. [4 ]
机构
[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
[2] Fayoum Univ, Dept Engn Math & Phys, Fac Engn, Al Fayyum 63415, Egypt
[3] HTI, 3rd Zone,7th Sect,POB 4, Giza, Egypt
[4] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf 62511, Egypt
关键词
Non-Darcian Flow; Nanofluids; Hall Current; Casson Fluid; Parallel Plates; Forchheimer Equation; Finite Difference; Numerical Solution;
D O I
10.1166/jon.2016.1231
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The unsteady MHD Hartmann flow of an incompressible Casson nanofluid bounded by two stationery parallel horizontal plates in a porous medium is studied with heat and mass transfer. A non-Darcy model that obeys the Forchheimer extension is assumed for the characteristics of the porous medium. An exponential decaying pressure gradient is applied in the axial direction whereas a uniform suction and injection are applied in the direction normal to the plates. The two plates are kept at constant and different temperatures and the viscous and porous dissipations are not ignored in the energy equation. Moreover, the concentration of the nanoparticles at the lower plate level differs from that at the upper one, while, both are kept constants. The system of momentum, heat and concentration equations is solved numerically using the finite difference scheme under the appropriate initial and boundary conditions. The effects of the Hall current, the porosity of the medium, inertial damping force, the uniform (suction/injection) velocity, the non-Newtonian Casson parameter, Hartmann number, Eckert number, Prandtl number, Lewis number, Brownian motion parameter and thermophoretic parameter on the fluid velocity, temperature and nanoparticles concentration distributions are investigated.
引用
收藏
页码:384 / 398
页数:15
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