Effect of a Rotational Wake on the Wavemaking Resistance of an Ogive
The rotational wake of a two-dimensional ogive in an unbounded fluid is simulated by a volume distribution of vertical line vortices. Expressions for the wave elevation and the wave resistance, including wake effect, are derived. It is found that, with the chosen vorticity, the wave resistance is from 10 percent larger to 35 percent smaller, depending upon the Froude number, than in the irrotational case. It is shown that, when the wave elevation ζ is expressed as the sum of its asymptotic form ζas and a quantity Z(ω;x,y) representing the local effect of the vorticity present in the vicinity of the transverse cut, Eggers' method for the determination of the wave resistance from surface-profile measurements is valid when applied to the asymptotic wave profile, i.e. to the quantity [ζ(x,y) – Z(ω;x,y)].