title: Slow viscous flow in a syringe.
abstract: The slow viscous flow in a syringe is modeled by the quasi-steady axisymmetric Stokes equation with a point sink for the needle hole. The governing equations are approximated using nonstandard finite difference formulas optimized for the boundary conditions, and solved numerically using a SOR technique. Streamlines and pressure profiles are computed for a variety of syringe configurations.
mesh_terms: D001698:Biomedical Engineering; D008962:Models, Theoretical; D011312:Pressure; D013594:Syringes; D014783:Viscosity