(2-4) are exposed to see the influences of average rise in pressure for various values of the non-uniform parameter (m), Hartmann number
(M), Jeffrey parameter ([[lambda].sub.1]).
The results obtained are evaluated for various dimensionless parameters such as suction/injection parameter a, the Deborah number p, Hartmann number
M, and Reynolds number Re.
where Re is the Reynolds number and H is the Hartmann number
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.
By decreasing Hartmann number
with Me [greater than or equal to] Re, we observe from Figure 2 that the velocity of the fluid decreases.
where Pr is the Prandtl number, M = [RB.sub.0] [square root of ([sigma] / [mu])] is the Hartmann number
, Gr = [rho]g[beta][R.sup.2] ([T.sub.w] - [T.sub.[infinity]]) / [w.sub.0][mu] is the Grashoff number and Re is the Reynolds number.
where [G.sub.r] is the Grashof number for heat transfer, [G.sub.m] is the Grashof number for mass transfer, E is the Eckert number, M is the Hartmann number
, P is the Prandtl number, [S.sub.c] is the Schmidt number, [S.sub.0] is the Soret number, [alpha] is the permeability parameter, [omega] is the frequency parameter and the other symbols have their usual meanings.
An analytical solution in the complex form for the dimensionless shear stresses in the fluid is presented in terms of the Hartmann number
, the suction/injection velocity parameter, the Reynolds number, the dimensionless velocity amplitude of oscillation in the x- and y- directions, the ratio of the frequency of oscillation to the angular velocity of the disks, and the dimensionless time.
Roles of melting parameter ([delta]), CuO-[H.sub.2]O volume fraction ([phi]), Hartmann number
(Ha), and Rayleigh (Ra) number are depicted in outputs.
This study has been carried out to show the effects of the Hartmann number
and micropolar parameter on the velocity and microrotation parameter.