Added mass rigid spheres

Drops accelerated by an air stream may split, as described in Chapter 12. For drops which do not split, measured drag coefficients are larger than for rigid spheres under steady-state conditions (R2). The difference is probably associated more with shape deformations than with the history and added mass effects discussed above. For micron-size drops where there is no significant deformation, trajectories may be calculated using steady-state drag coefficients (SI). 

The Added mass or virtual mass force on a single rigid sphere in potential flow... 

The added mass and pressure gradient terms in Eq. (14) has the same form as that predicted by potential flow theory (see, e.g.. Ref. 142). Therefore these terms do not require modification. Finally, Odar [143] reported results for the memory term for rigid spheres at large Reynolds numbers. Thus one can develop an approximate equation of bubbles that should be reasonable for bubbles that are not highly deformed and which have Reynolds numbers that are O(IO ). Such an approach could, for example, be used to track small bubbles in turbulent channels or stirred tanks. 

The Added Mass or Virtual Mass Force on a Single Rigid Sphere in Potential Flow... 

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