Volume effect for particles transported in highly viscous fluids

For various shapes and sizes, particles are treated differently in the fluid system. The level complexity of models needs to be determined to capture the sufficient physical phenomena and such a decisions is based on the assessment of the volume effect. This study is to measure the effect of a non-zero volume spherical particle transported in highly viscous flows. Utilizing the regularized Stokeslet method, particles are studied in three different approaches: a passive fluid tracer at the center of the particle, a sphere with Fax\'{e}n's correction, and a detailed non-zero volume particle. We compare the discrepancies in velocity field, Lagrangian trajectory and force exerted on the particle with three approaches and provide qualitative information for future studies.