The settling velocity of spherical particles of diameter (d) less than 0.1 mm is proportional to

Explanation:

Stokes Law

Assumptions

• It is assumed that particles show discrete settling (i.e. grains of different sizes fall through a liquid at different velocities).
• Particles are assumed spherical in shape.
• Medium is assumed infinite.
• Particle size ranges from 0.2 mm to 0.0002 mm.

Settling velocity for discrete particles,

\({V_s} = \frac{{g\left( {s - 1} \right){d^2}}}{{18ν }}\)

Where

S = sp. gravity of the particle

d = diameter of particle

ν = kinematic viscosity

Hence, the Settling velocity of spherical particles is directly proportional to d2.