Applied Mathematics & Information Sciences
Unsteady MHD Non-Darcian Flow of a Casson Nanoﬂuid Between Two Parallel Plates with Heat and Mass Transfer
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. A uniform and constant 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
Digital Object Identifier (DOI)
T. M. El-dabe, Nabil; A. Attia, H.; A. I. Essawy, M.; A. Ramadan, A.; and H. Abdel-Hamid, A.
"Unsteady MHD Non-Darcian Flow of a Casson Nanoﬂuid Between Two Parallel Plates with Heat and Mass Transfer,"
Applied Mathematics & Information Sciences: Vol. 11:
6, Article 13.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/13