Numerical Solutions 

 REFERENCES 



1. Webster, W.C. and Huang, T.T., "Study of the Boundary Layer on Ship 

 Forms," Hydronautics, Inc. Technical Report 608-1, Jan. 1968 



2. Cooke, J.C., "A Calculation Method for Three -Dimensional Turbulent 

 Boundary Layers," Aeronautical Research Council, R. and M. No. 3199, 

 Oct. 1958 



3. Landweber, L., "The Frictional Resistance of Flat Plates in Zero Pressure 

 Gradient," The Society of Naval Architects and Marine Engineers, Trans- 

 actions Vol. 61, pp. 5-32, 1953 



4. Ludwieg, H. and Tillmann, W., "Investigations of the Wall-Shearing Stress 

 in Turbulent Boundary Layer," NACA TM 1285, May 1950 



5. Michell, J.H., "The Wave Resistance of a Ship," Philosophical Magazine, 

 London, Vol. 45 (1898), p. 106 



6. Wehausen, J.V., "Wave Resistance of Thin Ships," First Symposium on 

 Naval Hydrodynamics, Washington, D.C., 1956 



7. Guilloton, R., "Potential Theory of Wave Resistance of Ships with Tables 

 for its Calculation," The Society of Naval Architects and Marine Engineers, 

 Transactions Vol. 59, 1951 



8. Korvin-Kroukovsky, B.V. and Jacobs, W.R., "Calculation of the Wave Pro- 

 file and Wave Making Resistance of Ships of Normal Commercial Form by 

 Guilloton's Method and Comparison with Experimental Data," The Society 

 of Naval Architects and Marine Engineers, Technical and Research Bulletin 

 No. 1-16, Dec. 1954 



9. Wigley, W.C.S., "L'Etat Actuel des Calculs de Resistance de Vagues," 

 Association Technique Maritime Aeronautique, Paris, Vol. 48 (1949) 



10. Timman, R. and Vossers, G., "The Linearized Velocity Potential Round a 

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 Scheepsbouwkunde, Delft, Netherlands, April 1953 



DISCUSSION 



In his presentation of this contribution, the chairman referred to the re- 

 markable agreement between the analytical prediction of J. D. Lin, who had 

 preceded Webster and Huang in working on this problem at Hydronautics, and 

 the experimental result of S. K. Chow at the University of Iowa, that, if separa- 

 tion occurred near a free surface, it would occur farthest forward at a Froude 

 number of about 0.25. Also mentioned was the phenomenon of a generation of 

 secondary flows in the boundary layer at a wave crest, and resultant separation 

 at a depth below the free surface, observed in Chow's experiments. 



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