r] is the Prandtl number, M is the Hartmann number
The influences of various relevant parameters such as unsteadiness parameter S, Hartmann number
Ma, the Prandtl number Pr, the Schmidt number Sc, the thermocapillary number [M.
Numerical results have been computed and presented for different values of the parameters of interest involved in present study namely stretching velocity ratio parameter, Hartmann number
, Grashof number, heat source parameter and Prandtl number.
Figures 12 and 13 show the effect of Hartmann number
M on primary and secondary velocities, respectively.
Note that when the Hartmann number
grows, that means, the magnetic field becomes stronger ([M.
0] [square root of ([sigma] / [mu])] is the Hartmann number
, Gr = [rho]g[beta][R.
m] is the Grashof number for mass transfer, E is the Eckert number, M is the Hartmann number
, P is the Prandtl number, [S.
When the frequency of oscillation is less than, equal to, and larger than the angular velocity of the disks, the effect of the Hartmann number
on the shear stresses corresponding to the components of the horizontal force is examined through the graphs.
This study has been carried out to show the effects of the Hartmann number
and micropolar parameter on the velocity and microrotation parameter.
Here we observe that the retardation due to an increase in the porous parameter is more rapid than that due to increase in the Hartmann number
Terrill and Shrestha  considered the laminar incompressible flow of an electrically conducting viscous fluid through a porous channel and gave a solution for a large suction Reynolds number and Hartmann number
The figure 1 illustrates the behavior of pressure gradient with increase in stenosis size for different values of Hartmann number