Poiseuille 流中における円孤状粒子のRadial Migration (II)

概要

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A theoretical investigation has been made of the deformation of an elastic prolate spheroidal particle in Poiseuille flow by taking the deformation velocity into account. Although the elongational deformation is also considered, the leading deformation is the bending due to the buckling under the present condition in which the short-/long-axis ratio of the particle is considerably small. It is well known that deformation due to the bucking is unstable. However, as long as the particle exists in the viscous fluid, the deflection can be determined as a function of time or of velocity of the particle. In this treatment, the deflection, which is here represented in terms of curvature, is given as a special case in which the particle is much shorter than tube radius, since otherwise the numerical method of integration must be used to solve the differential equations. The results obtained, however, are not capable of theoretcal interpretation of the radial migration, which occurrs from the wall toward the tube axis.
社団法人日本材料学会の論文
1971-05-15