MINIMUM WAVE-RESISTANCE 



AT Fn = 0.25 



TAYLOR STANDARD SERIES 



I I L 



Figure 2 - Curve of Sectional Area of Minimum 

 Wave-Resistance 



which intend to find out second order terms with respect to the beam-to- 

 length ratio by means of the successive method starting with Michell's 

 first order solution. However, none of these approaches have been proven 

 successful so the second order theory is not likely to be promising. We 

 can imagine the following fact as the reason for this difficulty. It is 

 known that the first order solution is not a uniformly valid approximation 

 and higher order solutions show more singular behavior. It is suspected 

 that the resulting power series with respect to the beam-to-length ratio 

 which is assumed at the beginning of the perturbation procedure may not 

 converge when infinite terms are taken. That means the perturbation ex- 

 pansion gives an asymptotic series without finite radius of convergence. 

 If it is so, the addition of second order terms does not guarantee any 

 improvement in accuracy of the approximation. 



Furthermore, the existence of the continuous solution of exact 

 boundary value problem for the fluid motion around the hull is even 



