To the question of the drag force of the ball at its vertical flowing around in the gravitational field

An analytical solution is given to the problem of calculating the drag force of a ball in a gravitational field when a viscous continuum flow flows around it exactly vertically. The general formula obtained for the drag force is analyzed in some limiting cases, and it is shown that it strongly depends on the height of the flow drop. A generalized expression is given for the drag force when the flow around the ball occurs in a flow whose velocity is directed at a certain angle α to the vertical. A physical condition is found for the possible runoff of liquid from the surface of the ball when the liquid flows around it horizontally. A criterion for the applicability of the Stokes formula is also found. A strictly substantiated condition is also given for the case, when the effect of hovering of finely dispersed phase particles is possible.

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