EXACT SOLUTIONS OF AN UNSTEADY CONDUCTING DUSTY FLUID FLOW BETWEEN NON-TORSIONAL OSCILLATING PLATE AND A LONG WAVY WALL

Frenet frames are a central construction in modern differential geometry, in which the structure is described with respect to an object of interest rather than with respect to external coordinate systems. In the present paper we have study the geometry of laminar flow of an incompressible viscous unsteady MHD dusty fluid with uniform distribution of dust particles between a parallel flat wall and a long wavy wall in Frenet frame field system. The flow is due to the presence of a uniform transverse magnetic field, non-torsional oscillations of the plate and time dependent pressure gradient. Velocities of both fluid and dust phases are obtained using Laplace transform technique. Further the shear stress (skin friction) is obtained at the boundaries