A specific slip length model for the Maxwell slip boundary conditions in the Navier–Stokes solution of flow around a microparticle in the no-slip and slip flow regimes

Abstract In the case of microscopic particles, momentum exchange between particle and gas flow starts to deviate from standard macroscopic case, i.e. no-slip with slip occurring in low moderate Knudsen numbers. order derive new drag force models that are valid also regime for non-spherical particles arbitrary shapes using computational fluid dynamics, conditions at surface have be modified account velocity surface, mostly form Maxwell’s model. To allow a continuous transition boundary condition wall cases various (Kn) number value regimes, novel specific length model use Maxwell is proposed. The derived based on data published experimental studies spherical microparticle correlations Cunningham-based correction factors uses detailed CFD study dynamics determine correct values selected Kn conditions. obtained correlated polynomial function, resulting regimes can applied convex shapes. Graphic abstract