MATHEMATICAL METHODS FOR CALCULATING SHIP HULL FORMS OF DECREASED WAVE-MAKING RESISTANCE
NAVAL APPLIED SCIENCE LAB BROOKLYN NY
Pagination or Media Count:
The development of ship hull forms of decreased wave-making resistance by mathematical methods has received some investigation in the past few years but little application. However, it appears that much more application can be obtained by use of improved mathematical methods recently developed. The theory and effectiveness at work by other authors is reviewed. In addition, the mathematical machinery necessary to calculate hull forms by a method of steep descent is developed and applied to a simple example. The necessary resistance equations are formulated. A closed form solution is obtained for the smoothly varying portion of the wave-making resistance of an assemblage of sources and sinks traveling near the surface of the water. An integral for the interference terms which com prise the fluctuating portion of the wave-making resistance is also presented in the shape of a Laplace transform. It is concluded that much more extensive use may be made of mathematical methods to improve hull forms than has been the case heretofore.
- Marine Engineering
- Fluid Mechanics