As per the Stoke's law, the force of viscosity on a small sphere moving through a viscous fluid is given by:
Fd=6πηRv
where:
Fd is the frictional force – known as Stokes' drag – acting on the interface between the fluid and the particle,
η is the dynamic viscosity,
R is the radius of the spherical object,
v is the flow velocity relative to the object.