Abstract

The equations of motion for spherical and geometric particles were integrated assuming that the drag coefficient on the particles during unsteady state motion was of a similar functional form as for steady state. Charts are presented which predict the distance travelled by an object, falling vertically downward in a fluid, in order to reach 90% of its terminal velocity. Correlation equations are also given which predict the distance travelled as a function of the drag coefficient at terminal velocity and the sphericity of the particle. The analysis presented is restricted to dense objects falling in less dense fluids and ignores the effects of the accelerating motion of the fluid surrounding the object, namely the effect of apparent mass. The case when such effects may influence the motion of the particles is discussed and a modification to the procedure is suggested.

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