Flow Development of a Train of Particles in Capillaries

by Alfred Perlin, (A.M.ASCE), Sr. Research Scientist; Kendall Research Center, Barrington, Ill.; formerly, Research Asst., Biotechnology Program, Carnegie-Mellon Univ., Pittsburgh, Pa.,
Tin-Kan Hung, (M.ASCE), Research Prof. of Civ. Engrg. and Biomedical Engrg.; Dept. of Civ. Engrg., Research Prof. of Neurological Surgery, Dept. of Neurological Surgery, Univ. of Pittsburgh, Pittsburgh, Pa.,

Serial Information: Journal of the Engineering Mechanics Division, 1978, Vol. 104, Issue 1, Pg. 49-66

Document Type: Journal Paper


The fluid flow and particle motion in a tube are solved numerically by coupling the Navier-Stokes equations with the dynamic equation of a particle. The particulate flow is simulated from rest under a prescribed pressure drop. The symptotic steady state solution is in good agreement with the analytical solution of creeping flow and with the experimental data reported in the literature. The present computational analysis explores the Reynolds numbers effects on the flow processes and gives some insight into qualitative similarities of the kinematics and dynamics of particulate flows. The resistant coefficient, the apparent viscosity, the tube hemotocrit, and the distribution of viscous stresses and pressure on the particle and on the capillary wall are considered along with the curvilinear flow patterns.

Subject Headings: Particles | Fluid flow | Pressurized flow | Flow resistance | Solids flow | Navier-Stokes equations | Flow simulation | Stress distribution

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