Dorrepaal, J. M. The resistance tensors for a spherical cap in Stokes flow. (English) Zbl 0567.76011 Q. J. Mech. Appl. Math. 37, 355-371 (1984). Under Stokesian assumptions, the resistance experienced by an arbitrary particle undergoing translational and rotational motions in a linear shear flow can be described in terms of six independent tensors whose components depend only on the geometry of the particle and the origin about which the torque is calculated. The spherical cap is a body of revolution which lacks fore-aft symmetry. Five of the tensors have been calculated for the cap and in this paper a method is presented for determining the sixth analytically for arbitrary cap angle. Cited in 1 Document MSC: 76A02 Foundations of fluid mechanics 70E99 Dynamics of a rigid body and of multibody systems 76T99 Multiphase and multicomponent flows 76D07 Stokes and related (Oseen, etc.) flows Keywords:resistance tensor; particle undergoing translational and rotational motions; linear shear flow; spherical cap PDFBibTeX XMLCite \textit{J. M. Dorrepaal}, Q. J. Mech. Appl. Math. 37, 355--371 (1984; Zbl 0567.76011) Full Text: DOI