What can be achieved by similarity laws?

Several examples are presented of applications of dimensional analysis. Consideration is given to the Buckingham pi-theorem and the formulation of a matrix constructed from the power exponents of the influence quantities. The theorem is applied to the flow of an incompressible fluid from a vessel, to a compressible fluid flowing from a container, to the expansion of a spherical blast wave, and to obtain the wavelength of Taylor vortices. Additional attention is paid to the Navier-Stokes equations in the cases of the flow of a viscous fluid across a flat plate and through a gap, in both instances in the presence of suction and blowing.