3 4 



outlined by Weinblum in his survey paper. Korvin-Kroukovsky also used the 



method of singularities, but used a constant-strength sink disk as a pro- 

 peller model, and corrected the body sources to account for both the pro- 

 peller induced flow and the boundary layer displacement thickness. 



More recent developments have logically followed from advances in pro- 

 peller theory and the advent of high-speed digital computing capabilities. 

 Thus, Beveridge was the first to apply the Douglas-Neumann three-dimension- 

 al potential flow calculation to represent the body. In a later investiga- 

 tion, Beveridge introduced a sink disk with radially varying strength 

 derived from propeller lifting-line theory. Based on this method, predic- 

 tions for three different realistic hull forms, including one surface ship, 



compared reasonably well with experimental data. A similar technique has 



7 8 

 also been applied to contrarotating propellers. ' 



In the present work, an extended treatment of the potential flow analy- 

 sis is developed which differs in two fundamental respects from previous ap- 

 proaches. First, a more comprehensive and realistic representation of the 

 propeller is introduced, based on a lifting-surface formulation. This over- 

 comes the limitations of the lifting-line sink-disk approximation by 

 including the additional effects of blade thickness, skew, rake, and chord- 

 wise load distribution. As such, the propeller calculation is comparable in 

 scope and accuracy to currently available lifting-surface design methods. 



3 

 Weinblum, G., "The Thrust Deduction," American Society of Naval Engin- 

 eers, Vol. 63 (1951). 

 4 

 Korvin-Kroukovsky, B.V., "Stern Propeller Interaction with a Stream- 

 line Body of Revolution," International Shipbuilding Progress, Vol. 3, No. 

 17 (1956). 



Beveridge, J.L., "Pressure Distribution on Towed and Propelled Stream- 

 line Bodies of Revolution at Deep Submergence," David Taylor Model Basin 

 Report 1665 (Jun 1966). 



Beveridge, J.L. , "Analytical Prediction of Thrust Deduction for Sub- 

 mersibles and Surface Ships," Journal of Ship Research, Vol. 13, No. 4 (Dec 

 1969). 



Nelson, D.M. , "Development and Application of a Lifting-Surface Design 

 Method for Counterrotating Propellers," Naval Undersea Center TP 326 (Nov 

 1972). 



Q 



Beveridge, J.L., "Thrust Deduction in Contrarotating Propellers," Naval 

 Ship Research and Development Center Report 4332 (Nov 1974). 



