ON THE MOVEMENT OF SLENDER BODIES NEAR PLANE BOUNDARIES AT LOW REYNOLDS NUMBER.

Normal and tangential resistance coefficients are calculated for a rigid slender body close to a planar no-slip boundary or midway between and close to two such boundaries. The important length scale is found to be the separation distance from the boundaries, and the forces per unit length acting on the slender body are approximately constant along most of its length. Owing to the presence of the walls, the ratio of the normal and tangential resistance coefficients can be greater than 2, its maximum limiting value in the infinite-fluid case. Applications to the movements of flagellated microorganisms are discussed.

Duke Scholars

Author David F. Katz Biomedical Engineering