How to derive Stoke's formula using dimensional Analysis

Navier-Stokes equations are partial differential equations that govern the motion of incompressible fluids. These equations constitute the basic equations of fluid mechanics. The movement of fluid in the physical domain is driven by various properties.

F = 6 π η a u , where a is the radius of the sphere. This is Stokes' formula. The above discussion enables us to state more precisely what is meant by a “sufficiently small” velocity for Stokes' formula to be valid.