Application to hindered settling

The settling of particles, constrained to fixed positions, in a stagnant liquid is analogous to the permeametry situation where the liquid is moving and the bed is fixed. For a sedimenting suspension, the pressure head may be replaced by the gravitational minus the buoyant force on the particles  

Replacing (ApIL) in the permeametry equation (equation 1.10) with the right hand side of this equation, the volume specific surface by 6/dgy, and eliminating (Ps-Pf)g using Stokes equation in the form 

This equation is very similar to the ones derived for the rate of fall of the interface for particles settling in a concentrated suspension with the replacement of d v with dgi. 

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