Vessel equipped with a hydrodynamic duct of flow management at the bow composed by a horizontal wall portion (2) extending at each side of the centerline (CL) of the bow of the vessel (8), at least one additional horizontal wall portion (1) positioned above the horizontal wall portion (2) at the region of the waterline adapted to managing surface waves and a pair of lateral wall portions (5) connected at each end of the horizontal wall portions (1) and (2) and extending upwardly at each side of the bow thereby forming in conjunction with the horizontal wall portions (1) and (2) a circumferentially closed duct, inside which, the flow is entirely differentiated from the flow outside the duct, such differentiation resulting at a reduction of the wave making resistances and of the required rated horsepower and fuel consumed for the navigation of the vessel. Proposed variations with one additional horizontal wall portion (3) or two wall portions (3,4) between the horizontal wall portions (1) and (2) operating complementarily or alternately in an unloaded and loaded condition of the vessel.