Magnetoydrodynamic Flow of a Dusty Fluid through an Equilateral Triangular Channel

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.