COMPRESSIBLE SLIP FLOW THROUGH CONSTRICTED CYLINDERS WITH DENSITY-DEPENDENT VISCOSITY

摘要

A second-order non-linear differential equation for pressure/density is derived for a weakly compressible fluid with density-dependent viscosity and slip, through a local constriction. Solution curves are presented for scaled pressure/density curves, for scaled pressure/density gradient, and for the scaled centerline velocity. The effect of the viscosity- density parameter is explored for large vessels where compressibility and slip values are relatively small, and for small vessels where compressibility and slip effects can be more substantial. Results for solution curves for large vessels have physiological relevance to blood flows, while small vessel results apply to particle-based numerical simulations with applications to microchannel flows.