Solution to the problem of the homocore motion of perfect fluids in the presence of propellers and eolian rotors

Taking into consideration the presence of the vortex wake downstream of the perfect fluids, as well as the spreading of the flow surfaces, the problem of the homocore motion is solved. Two alternate hypotheses are considered: (1) the hypotheses of the free vortices and (2) the hypothesis of the identity of the geopiezopotential, asymptotic energies. The first hypothesis leads to the functional equation solved through the recursive formula; the second to the functional equation having an analytical solution. If the spreading of the flow surface is ignored the equation of the second hypothesis will lead to the classical solution of Glauert (1935).