ABSTRACT

Substituting u 0 into Equation 3.15 from 2.3 gives the equation of particle motion in a quiescent fl uid:

d dt

C D

gn n r r

r r

r

3 4

( )

(4.1)

When the fi rst term (the hydrodynamic resistance force) on the right-hand side of Equation 3.15 from 2.3 is counterbalanced by the second term (the hydrodynamic resistance force), the spherical particle settling under the gravity attains a uniform velocity. It is called the terminal settling velocity.