  A low-pressure magnetized plasma is studied to find the dependency of sheath
properties on ion-neutral collisions in presence of an inhomogeneous magnetic
field. A self-consistent one-dimensional two-fluid hydrodynamic model is
considered, and the system of equations is solved numerically. The study
reveals that the width of the plasma sheath expands and space charge increases
with collisions. The ion-neutral collisions and the inhomogeneous magnetic
field restrict the ions to move towards the surface. The movement of the ions
towards the wall can be controlled by choosing a suitable configuration of the
magnetic field and ion-neutral collision frequency. A comparison between two
different magnetic field configurations has been presented alongside to
differentiate the commonly found scenarios in the field. The outcome of the
study is supposed to help in understanding the complex dynamics of ions in
plasma confinement and plasma processing of materials. Furthermore, the present
work seeks to create a framework for two-fluid modeling of magnetized plasmas
with any arbitrary magnetic field profiles. The analysis provided here is
supposed to act as a basis for any future work in the respective field.
