TY - EJOU
AU - Khechiba, A.
AU - Benakcha, Y.
AU - Ghezal, A.
AU - Spetiri, P.
TI - Combined MHD and Pulsatile Flow on Porous Medium
T2 - Fluid Dynamics \& Materials Processing
PY - 2018
VL - 14
IS - 2
SN - 1555-2578
AB - This work investigates the dynamic behavior of a pulsatile flow electrically conducting through porous medium in a cylindrical conduit under the influence of a magnetic field. The imposed magnetic field is assumed to be uniform and constant. An exact solution of the equations governing magneto hydro-dynamics (MHD) flow in a conduit has been obtained in the form of Bessel functions. The analytical study has been used to establish an expression between the Hartmann number, Darcy number and the stress coefficient. The numerical method is based on an implicit finite difference time marching scheme using the Thomas algorithm and Gauss Seidel iterative method for solving the resulting algebraic system of equations. The results show that the flow behavior is strongly affected by the permeability parameter of medium porosity and the Hartmann number. It has also shown that the stress coefficient has a sinusoidal aspect and it increases with decreasing Darcy number.
KW - Pulsatile flow
KW - stress coefficient
KW - permeability
KW - magnetic field
KW - analytical solution
KW - finite difference
DO - 10.3970/fdmp.2018.04054