What is the benefit of Archimedes number what if Archimedes

What is the benefit of Archimedes number? what if Archimedes number get so high and what if it get small what will happen?explain.

Solution

Archimedes number is used to determine the the motion of fluids due to difference in their densities i.e it is used to establish the theoretical settling range for the particles that we are trying to separate out of a wastewater stream.

If Ar>>1 then natural convection dominates, i.e. less dense bodies rise and denser bodies sink,

If Ar<<1 ,then  forced convection dominates.