Numerical study of asymmetric flows of red blood cells in capillaries

Experimental studies have shown that red blood cells in capillaries may flow in single-file or multifile arrangements. To model multifile rheological behavior, the asymmetric flows of rigid circular cylinders in a two-dimensional channel are studied by numerical analysis. The rigid circular cylinders are arranged off-center in a channel in a row or two rows with equal spacings. The motion of the suspending fluid is analyzed by the finite element method applied to the Stokes equation, and the motions of the particles are simultaneously determined under the zero force and zero moment conditions appropriate to neutorally buoyant particles. The velocity difference between the particles and the bulk flow is significantly affected by the arrangement of the particles. The particle velocity is reduced as the particles are moved away from the centerline of the channel. At a constant concentration of the particles, the relative apparent viscosity of an off-center arrangement is considerably higher than that of a single-file flow of the particles located on the centerline of the channel. The present results suggest that changes of the radial distribution of red cells flowing through narrow vessels may lead to alterations of the Fahraeus and Fahraeus-Lindqvist effects.