Abstract
Abstract : The exact and linearized dipole distributions generating lenticular cylinders in an infinite fluid are compared for various values of a fullness parameter. These dipole distributions are approximations to the exact dipole distribution generating a (vertical) lenticular cylinder in the presence of a free surface. Each dipole distribution has a wave resistance, the wave resistance of the linearized dipole distribution being Michell's wave resistance for the lenticular cylinder. For practical values of a fullness parameter, the two approximate dipole distributions are not very close, and for Froude numbers around .4 the wave resistances m y differ by as much as 40%. This difference is larger than the uncertainty in the measured wave resistance. If Michell's dipole distribution for an arbitrary form is modified in an ad hoc but natural way suggested by the results for lenticular cylinders, a comparison with existing measured wave resistance can be carried out. Similar remarks apply to the asymptotic behaviour of the wave resistance at low speed.
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