Abstract: In order to study the scale effect of the nominal wake field, the viscous flow field of KCS is studied without considering the free surface effect, and the nominal wake fields of KCS at different scales including full scale are solved numerically using the RANS method and the SST k-ω turbulence model. By comprehensively comparing the computed results with experimental data, the scale effect of the nominal wake field is further investigated. This shows that the reciprocal of the mean axial wake fraction at each radius exhibits a near-linear dependence on the Reynolds number in a logarithmic scale; for the nominal wake field of the propeller disc of KCS without a propeller, two wake peaks exit, and the amplitude of the axial wake peak decreases with the increase of the Reynolds number, which is conducive to a decrease in propeller exciting force and propeller cavitation; the scale effect of the small scale model is more obvious, and the scale effect of the mean axial wake fraction in the inner area is stronger than it is in the outer area.