Magnetoydrodynamic Flow of a Dusty Fluid through an Equilateral Triangular Channel

Abstract

In this paper, the motion of an incompressible dusty fluid
through an equilateral triangular channel placed under a transverse
magnetic field has been studied by using the concerned equations of a
straight channel after their modification for triangular channel with
suitable conditions and then through Fourier series method, an analytical
solution for the velocity distributions has been obtained for both the fluid
and particle phase. The effects of various parameters associated with this
flow problem such as magnetic field, dust-concentration, frequency of
oscillations and dust-relaxation on the steady and unsteady part of
velocity distributions are analyzed by plotting the graphs. Especially for
transverse magnetic field, it has been found that steady and unsteady part
of velocity distributions for both fluid and particle phase decrease with
the increase of the Hartman number.