Magnetized plasma sheath with two positive ions where collision frequencies have a power law dependency on ions velocities

We study the dynamics of collisional magnetizedplasma sheath with two species of positive ions byusing the plasma fluid model. The basic equations of thefluid model are solved numerically where the sheath is inthe external magnetic field and the elastic collision betweenions and neutrals has been taken into account. In ourmodel, we assume that the collisional momentum transferringcross section has a power law dependency on ionflow velocity. Our analysis demonstrates that the sheathdynamics are sensitive to the power law dependency,especially for the ion with greater density.