Stokes resistance, added mass, and Basset force for arbitrarily oriented, finite-length cylinders

The Stokes resistance, added mass, and Basset force are numerically computed for finite-length, circular cross-section cylinders using a boundary integral formulation. Numerical results are presented for cylinders translating parallel and perpendicular to their symmetry axes with length-to-width ratios in the range: 0.01≤a/b≤100. There is good agreement with the limited experimental and numerical results of previous studies and slender-body theory. Simple, analytical formulas for the Stokes force, added mass, and Basset force of spheroids are contrasted with the numerical results for cylinders of the same aspect ratio. For some of these parameters, significant differences persist for disk- and rod-shaped particles.