Panel Discussion 



Wehausen, J.V,, 1963, "An Approach to Thin-Ship Theory," Proceedings, Inter- 

 national Seminar on Theoretical Wave-Resistance, Ann Arbor ^ 



Wehausen, J.V., 1968, "Use of Lagrangian Coordinates for Ship Wave Resist- 

 ance (First- and Second-Order Thin-Ship Theory)," J. Ship Res. (to be 

 published) . "^ ^ \; 



van Wijngaarden, L., 1968, "On the Propagation of Gravity Waves on a Flow 

 with Nonuniform Velocity Distribution," Twelfth Congress of Applied 

 Mechanics, Stanford 



Wu, T.Y., and Messick, R.E., 1958, "Viscous Effect on Surface Waves Gener- 

 ated by Steady Disturbances," Calif. Inst, of Tech., Eng. Div., Report No. 

 85-8 



Wu, T.Y., 1963, "Interaction between Ship Waves and Boundary Layer," Pro- 

 ceedings, International Seminar on Theoretical Wave-Resistance, Ann 

 Arbor - 



Yim, B., 1968, "Higher-Order Wave Theory of Ships," J. Ship Res., 12, 3, 

 pp. 237-246 



An Evaluation of the Wave Flow Around 



Ship Forms with Application 



to Second-Order Wave Resistance Calculations 



K. Eggers 

 Institut flir Schiffbau der Universit'Cit Hamburg 

 Hamburg, Germany 



ABSTRACT ....•■ 



For a class of shiplike bodies, a procedure is established for the cal- 

 culation of first-order flow components including the local wave field. 

 A second-order correction flow field then is defined, using an iteration 

 procedure based on Green's formula. However, under introduction of 

 an "inverse flow principle," the first- and second-order wave resist- 

 ance can then be calculated directly from first-order flow components. 



Numerical results show that the corrections to first-order wave re- 

 sistance, both from free-surface singularities and from improvement 

 of the body-boundary condition, are negative for Froude numbers ^ 0.31, 

 as was to be expected from experimental information. For higher 

 Froude numbers, the correction due to free-surface effects becomes 

 positive. However, mainly due to increasing influence of corrections 



1555 



