A mathematical model is presented for viscous hydromagnetic flow through a
hybrid non-Darcy porous media rotating generator. The system is simulated as
steady, incompressible flow through a nonlinear porous regime intercalated
between parallel plates of the generator in a rotating frame of reference in
the presence of a strong, inclined magnetic field A pressure gradient term
is included which is a function of the longitudinal coordinate. The general
equations for rotating viscous magnetohydrodynamic flow are presented and
neglecting convective acceleration effects, the two-dimensional viscous flow
equations are derived incorporating current density components, porous media
drag effects, Lorentz drag force components and Hall current effects. Using
an appropriate group of dimensionless variables, the momentum equations for
primary and secondary flow are rendered nondimensional and shown to be
controlled by six physical parameters-Hartmann number (Ha), Hall current
parameter (Nh), Darcy number (Da), Forchheimer number (Fs), Ekman number
(Ek) and dimensionless pressure gradient parameter (Np), in addition to one
geometric parameter-the orientation of the applied magnetic field (? ).
Several special cases are extracted from the general model, including the
non-porous case studied earlier by Ghosh and Pop (2006). A numerical
solution is presented to the nonlinear coupled ordinary differential
equations using both the Network Simulation Method and Finite Element
Method, achieving excellent agreement. Additionally very good agreement is
also obtained with the earlier analytical solutions of Ghosh and Pop (2006).
for selected Ha, Ek and Nh values. We examine in detail the effects of
magnetic field, rotation, Hall current, bulk porous matrix drag, second
order porous impedance, pressure gradient and magnetic field inclination on
primary and secondary velocity distributions and also frictional shear
stresses at the plates. Primary velocity is seen to decrease with an
increase in Hall current parameter (Nh) with the converse observed for the
secondary velocity.
Numerical Study of the Effect of Magnetic Field on Nanofluid Heat Transfer in Metal Foam Environment
