Panel Discussion 



experimental predictions in this domain, it seems natural to seek a theory for 

 the slow ship in the sense of a systematic perturbation expansion. This idea is 

 not new, but attempts to exploit it have been abandoned in early stages when 

 difficulties were encountered. In recent work Ogilvie (1968) has sought a fresh 

 approach, in which the slow motion of a submerged body is treated as a per- 

 turbation about the exact zero-Froude-number, or rigid-free- surface, flow field. 

 This approach seems more likely to succeed, although the subsequent extension 

 to surface vessels is not trivial. 



REFERENCES 



Brooke -Benjamin, T., 1959, "Shearing Flow Over a Wavy Boundary," J. Fluid 

 Mech., Vol. 6, p. 161 



Chey, H., 1968, "Second-Order Wave Resistance of a Submerged Spheroid," Dis- 

 sertation, Stevens Institute of Technology 



Dugan, J, P., 1968, "On the Viscous Drag of Bodies Moving Near a Free Surface" 

 (to be published) 



Eggers, K.W.H., 1966, "Second-Order Contributions to Ship Waves and Wave Re- 

 sistance," Proceedings of the Sixth Symposium on Naval Hydrodynamics, 

 Washington, D.C., p. 649 



Eng, King, 1968, "Development and Evaluation of a Second-Order Wave Resist- 

 ance Theory," Dissertation, Stevens Institute of Technology 



Gadd, G.E., 1968, "On Understanding Ship Resistance Mathematically," J. Inst, 

 Maths. Applies., 4, 43 



Gruntfest, R.A., and Nikitin, A.K., 1966, "On Wave Resistance in a Viscous Fluid,' 

 Izv. Akad. Nauk SSR, Mech. Fluids and Gases, No. 4, pp. 118-126 



Hogben, N., 1967, "A Computer Program for Correlating Measured Wave Pat- 

 terns with Theoretical Source Arrays," Ministry of Technology, National 

 Physical Laboratory, Ship Division, T. M, 189 



Hogben, N., 1968, "A New Method of Correlating Measured Wave Patterns with 

 Theoretical Source Arrays," Ministry of Technology, National Physical 

 Laboratory, Ship Division, T. M. 224 



Hoogstraaten, N.W,, 1968, "Dispersion of Nonlinear Shallow Water Waves," J. of 

 Eng. Math., Vol. II, No. 3, pp. 249-273 



Howe, M.S., 1967, "Nonlinear Theory of Open-Channel Steady Flow Past a Solid 

 Surface of Finite -Wave -Group Shape," J. Fluid Mech., Vol. 30, pp. 497-512 



Howe, M.S., 1968, "Phase Jumps," J. Fluid Mech., Vol. 32, pp. 779-790 



1553 



