Submerged Two-Dime nsional Bodies 



3. Bessho, M., "On the Wave Resistance Theory of a Submerged Body," The 

 Society of Naval Architects of Japan, 60th Anniversary Series, Vol. 2, 1957, 

 pp. 135-172 



4. Tuck, E.O., "The Effect of Non-Linearity at the Free Surface of Flow Past 

 a Submerged Cylinder," J. Fluid Mech. 22:401-414 (1965) 



5. Giesing, J. P., "Two-Dimensional Potential Flow About Bodies Moving Be- 

 neath a Free Surface and an Expansion for Large Submergence Depths," 

 Douglas Aircraft Company Paper 4002, 1966 



6. Wehausen, J.V., and Laitone, E.V., "Handbuch der Physik," Vol. 9, "Surface 

 Waves," Berlin rSpringer-Verlag, 1960 



a. p. 489 



b. p. 601 



c. p. 458 



7. Lamb, Sir Horace, "Hydrodynamics," sixth edition. New York:Dover, 1945, 

 sections 243 and 244 



8. Havelock, T.H., "The Calculation of Wave Resistance," Proc. Roy. Soc. 

 A144:514-521 (1934) 



9. Laitone, E.V., "Limiting Pressure on Hydrofoils at Small Submergence 

 Depth," Appl. Physics 25:623-626 (1954) 



10. Parkin, B.R., Perry, B., and Wu, T.V., "Pressure Distribution on a Hydro- 

 foil Near the Water Surface," J. Appl. Physics 27:224-240 (1956) 



11. Giesing, J. P., and Smith, A.M.O., "Potential Flow about Two-Dimensional 

 Hydrofoils," Douglas Aircraft Company Engineering Paper 3541, 1965 



Appendix A 



STOKES WAVES AND THEIR APPUCATION 

 TO WAVE RESISTANCE PROBLEMS 



It was first shown by Stokes* that the velocity potential and the stream 

 function given by 



$ = Ux - VBe sin i^x 



(Al) 



I* = Uy - U/Ge^y cos i^x - C 



*G. G. Stokes, "On the Theory of Oscillatory Waves," Trans. Cambridge Philo- 

 soph. Soc. 8:441-455 (1847). 



623 



