Panel Discussion 



As can be seen from Fig. 2, for series 60/.80 ships, the momentum thick- 

 ness oscillates considerably along the streamlines, which is due to the effect of 

 the large pressure gradient generated by the large waves. 



The average momentum thickness at station 19 of series 60/. 60 is shown in 

 Fig. 3. There exists a maximum at F = 0.252 at which the wave height is also 

 maximum at this station. 



It is to be understood that the present results, like the theories from which 

 they are derived, bear only a qualitative resemblance to the complicated real 

 situation. Much is to be done in order to develop a reliable theoretical tech- 

 nique for predicting the boundary-layer characteristics on ship forms. 



NOTATION 



c = Constant forward velocity of the ship 



c^ = a(H)l 



g = 1 + i^^ + i ^\ where the ship hull y = + f (x,y) 

 H = h/e = Shape parameter • , . ..>.. ;. ir^-v; ;r, 



HqCR^) = Shape parameter along a flat-plate boundary layer in zero pressure 

 gradient 



L = Ship length 



iri = m/L 



% = dWu 



s= s/L 



s,m,C = Arc lengths along streamline coordinates with s along streamline 

 and C normal to the ship surface 



u,v,w= External velocity components parallel to axes x,y,z 



u,w = External velocity components parallel to and perpendicular to 

 streamlines 



u= U/c 



n= u/c 

 u^= Resultant velocity in the boundary layer parallel to surface 



1637 



