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READ INSTRUCTIONS 

 BEFORE COMPLETING FORM 



t. REPORT NUMSER 



DTNSRDC-83/007 



2. GOVT ACCESSION NO, 



3. RECIPIENT'S CATALOG NUMBER 



4. TITLE (and Subline) 



ON THE THEORY OF THREE-DIMENSIONAL FLOW 



ABOUT A SHIP MOVING WITH CONSTANT 



SPEED IN A REGULAR SEA 



5. TYPE OF REPORT ft PERIOD COVERED 



Final 



6. PERFORMING ORG. REPORT NUMBER 



7. AUTHORCs; 



Francis Noblesse 



8. CONTRACT OR GRANT NUMBERfs; 



9. PERFORMING ORGANIZATION NAME AND ADDRESS 



David W. Taylor Naval Ship Research 

 and Development Center 

 Bethesda, Maryland 20084 



(See reverse side) 



II. CONTROLLING OFFICE NAME AND ADDRESS 



12. REPORT DATE 



April 1983 



13. NUMBER OF PAGES 



34 



14. MONITORING AGENCY NAME ft AODRESSf/f dllleteni from Controlling OHIcd) 



IS. SECURITY CLASS, (ol this report) 



UNCLASSIFIED 



16. DISTRIBUTION STATEMENT (ol this Report) 



APPROVED FOR PUBLIC RELEASE: DISTRIBUTION UNLIMITED 



-Qt^NOG"^ 



~. DISTRIBUTION STATEMENT (of the abalrecl entered In Block 20, II dltle^S^Jfom Report) "^ 'aJIS-w 



\i DEPARTMENT OF ^ 



18. SUPPLEMENTARY NOTES 



OCEAM GMSI^'RFBmfi 



READING ROOM 



19. KEY WORDS (Continue on rever 



Ship 



Ship Motions 



Waves 



Integral Equation 



aary and Identity by block number) 



ABSTRACT (Continue or reverse side !' necessary and dnmlty by block number) 



The study presents a new integral identity for the velocity 

 potential of three-dimensional flow about a ship moving with constant 

 speed in regular waves. This integral identity is valid outside, inside, 

 and exactly on the surface of the ship, and is equivalent to the set of 

 three classical identities valid strictly outside, inside, and on the 

 ship's surface, respectively. For the usual problem of ship motions in 

 a regular sea, the integral identity obtained in this study yields an 



(Continued on reverse side) 



DD 



1473 



EDITION OF I NOV 65 IS OBSOLETE 



S/N 0102-LF-014-6601 



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