A solid particle falls through a viscous fluid. The falling velocity, V, is believed to be a function of the fluid density, f, the particle

A solid particle falls through a viscous fluid. The falling velocity, V, is believed to be a function of the fluid density, ρf, the particle density, ρ_p, the fluid viscosity, μ, the particle diameter, D, and the acceleration due to gravity, g:

V = f (ρ_f , ρ_p,μ, D, g)

By dimensional analysis, develop the π-groups for this problem. Express your answer in the form

- f , VgD T2)