## LOW DRAG ROWING SHELLS

by

**E. O. Tuck**

and

**L. Lazauskas**

Dept. of Applied Mathematics

The University of Adelaide

South Australia 5005

Australia

Presented at the Third Conference on

Mathematics and Computers in Sport,

Bond University, Queensland, Australia,

30 Sept. 1996 - 2nd October 1996.

WWW version: 22 December 1996

### Abstract

*
A displacement vessel of a given loaded weight has a theoretical
optimum length which minimises its total (viscous plus wave)
calm-water drag. This length is usually somewhat greater than that of
conventional merchant or naval ships but is in an appropriate range
for competition boats such as rowing shells. Some simple examples are
given to illustrate this property. Genetic algorithm techniques are
then used to find optimum dimensions for rowing shells over a wide
range of speeds and displacements, with a fixed assumption about the
waterline, cross-section, and buttock shapes. Michell's integral is
used for the wave resistance, the 1957 ITTC line for the skin
friction, and a simple empirical formula for the form drag.
*

**
1. INTRODUCTION**

2. BASIC CONSIDERATIONS

3. PREDICTION OF OPTIMAL PARAMETERS

4. RESULTS

5. CONCLUSION

6. REFERENCES