Inertial Deposition of Particles on the Obstacles

Consider now the effect of inertial deposition, which plays a noticeable role in deposition on obstacles of rather large particles whose density differs strongly from that of the ambient liquid. 

If inertia of particles is neglected, the limiting trajectory passes at a distance Up from the body. In Ref [58] this effect is called the effect of hooking. It has been shown in the same work that, for a potential flow around the sphere we have 

In another limiting case of highly inertial particles, it is possible to assume that particles move along straight trajectories. Then the cross section of collision can be found from simple geometrical arguments  

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