Deep-Diving Submarine Hydrodynamics 335 
But, it is to Dr. Edward Wenk, Jr., formerly of Southwest Research Institute, that the 
author is principally indebted. Dr. Wenk enlisted his work on this project and it is largely 
his enthusiasm, initiative, and drive that have carried the project through the difficult 
formative stages. 
REFERENCES 
[1] Wenk, Dehart, Kissinger, and Mandel, “An Oceanographic Research Submarine of Alumi- 
num for Operation to 15,000 feet,” Royal Institute of Naval Architects, Mar. 23, 1960 
[2] Arentzen, E.S., and Mandel, P., “Naval Architectural Aspects of Submarine Design,” 
Trans. Soc. Naval Architects Marine Engrs., Vol. 68, 1960 
[3] Piccard, A., “Earth, Sky, and Sea,” New York: Oxford University Press, 1956 
[4] Relf, E.F., and Simmons, L.F.G., “The Frequency of Eddies Generated by the Motion 
of Circular Cylinders through a Fluid,” British Advisory Committee for Aeronautics, 
R. and M. 917, 1924 
[5] Landweber, L., “Flow About a Pair of Adjacent Parallel Cylinders Normal to a Stream,” 
David Taylor Model Basin Report 485, July 1942 
[6] Marks, L.S., “Mechanical Engineers Handbook,” 6th edition, New York: McGraw-Hill, 
1958, pp. 11-84, Fig. 21 
[7] Hoerner, S.F., “Aerodynamic Drag,” Midland Park, N.J., 1951, pp. 21-25 (The 2nd edition, 
y 8 P 
published in 1958, is titled “Fluid-dynamic Drag”) 
[8] McGoldrick, R.T., “A Vibration Manual for Engineers,” 2nd edition, David Taylor Model 
Basin Report 189, Dec. 1957 (obtainable from Office of Technical Services, Dept of 
Commerce, PB131785) 
APPENDIX 
The data plotted in Fig. 3 for the elementary body of revolution shapes are based upon 
the expressions for the dimensional and nondimensional volume and wetted surface of 
simple cylinders, cones, and hemispheres as follows: 
Cylinder Hemisphere Cone 
Dimensional Volume, V yale = iD ke 
Nondimensional Volume, C, 1.0 2/3 1/3 
2 
Dimensional Wetted Surface*, S 7DL 5D? GDL: art 4 
2 
Nondimensional Wetted Surface, C, 1.0 1.0 - > + 4 
t 
*Excluding area of flat ends in these cases. 
