Asian Basic and Applied Research Journal

The study investigated the unsteady laminar flow of a heat-conducting dusty fluid between two parallel Riga plates. The upper plate is in continuous motion at a constant velocity, while the lower plate remains stationary. A similarity transformation is employed to convert the derived governing equations into their dimensionless form. Subsequently, the explicit finite difference method is utilized to obtain numerical solutions. Key analytical quantities, including the velocity of dust particles, the pressure distribution among others are examined. The impact of magnetic field inclination and concentration on the velocity and temperature distributions of both fluid and dust particles is analyzed and discussed. It was established that increasing the magnetic field intensity decreases the velocity of the fluid flow. It is also observed that flow temperature increases since kinetic energy is dissipated as heat. These findings offer a basis under which experimental validation and further analytical or numerical exploration can be undertaken. Furthermore the findings provide perspective to heat and mass transfer in electrically conducting fluids with suspended dust particles which are applicable in such systems as cooling technologies, chemical reactors and geothermal processes.