MHD Stokes flow over a slip-stick liquid drop within a porous region

A steady, uniform, viscous Stokes flow around a slip-stick liquid drop within a porous region under magnetic influence is considered. the rear end of the drop is considered a no-slip region and an interfacial slip is assumed at the front end of its surface. The stream functions of the flow and the drag force on the drop are obtained analytically. The results of the special case align with existing literature findings. It has been noticed that coefficient of drag values rise with increases in Hartmann number and viscosity ratio. Graphical analysis illustrated that drag is greater under no-slip condition. The streamline graphs are analyzed using varying Hartmann number, slip parameter, and viscosity ratio. Streamline graphs show magnetic damping suppresses circulation, slip weakens internal flow, and a higher viscosity ratio rigidifies the drop with smoother streamlines.