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The resistance tensors for a spherical cap in Stokes flow. (English) Zbl 0567.76011

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.

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
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