Hydrodynamic forces on an oblate spheroid in contact with a smooth surface in a linear shear flow

In this work, a computational fluid dynamics of a linear shear flow past an oblate spheroid resting on a surface was conducted. The present study aims to compute the hydrodynamic forces experienced by oblate spheroids in contact with a smooth surface. Using the computational results, we derive correlations for the hydrodynamic drag, lift, and drift coefficients. These correlations are provided for an aspect ratio ranging from 0.2 to 1, for particle Reynolds numbers up to 7. In addition, it is found that the Stokesian evolution of the drag coefficient as a function of the orientation remains valid in the considered configuration; that is, the drag coefficient evolves as a so-called "square-sine" profile. Surprisingly, it was found that the lift induced by shear was also found to evolve as "square-sine" with respect to the spheroid orientation. Furthermore, we found that the drift coefficient evolves as a so-called cosine-sine profile with respect to the spheroid orientation.