Added mass of a spherical cap body

• Dispersed flow modeling.
• Added mass coefficient for a cap-body.
• Collective added mass in a swarm of cap bodies.

The added mass coefficient C was determined for a single spherical-cap body moving in a uniform unbounded fluid. An approximate simple physical model for C was suggested and was well compared with the analytical result of Kendoush, which likely is the only available theoretical result in the literature, up to date. The correct result for C was obtained via direct numerical flow simulation with CFD. Both the rigid and deformable (bubble, drop) cap body was considered. An approximate model was suggested for the collective added mass in a swarm of spherical cap bodies. A relation was found between the added mass of an unbounded cap body and a bounded spherical body. Practical explicit correlation formulas for C were obtained, suitable for engineering modelling of multiphase flow systems with bubbles, drops and solids. A relation between the added mass, Darwin drift, and fluid mixing was also noted.

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