Steady ship waves at low Froude numbers, part 2
Abstract
A lowFroude number asymptotic expansion for the farfield waveamplitude function defined within the NeumannKelvin theoretical framework is presented. This asymptotic expansion provides a simple analytical approximation defined explicitly in terms of the geometrical characteristics of the ship hull and the disturbance velocity vector. The lowFroude number analysis presented shows that the wave resistance and the farfield pattern of a ship strongly depend on the shape of the hull, notably the presence of flare and the shape of the waterline at the bow and the stern. In particular, the analysis predicts that the nondimensional waveresistance coefficient is O(F sup 2), where F is the Froude number, for a ship form with a region of flare, O(F sup 4) for a stopform that is wall sided everywhere O(F sup 4) for a ship form that is wall sided everywhere and has either a bow or a stern (or both) that is neither cusped nor round, and O (sup 6) for a wallsided ship form with both bow and stern that are either cusped or round.
 Publication:

Final Report Naval Ship Research and Development Center
 Pub Date:
 December 1986
 Bibcode:
 1986nsrd.reptR....N
 Keywords:

 Asymptotic Methods;
 Boundary Value Problems;
 Froude Number;
 Nonlinearity;
 Numerical Analysis;
 Ship Hulls;
 Far Fields;
 Prediction Analysis Techniques;
 Velocity;
 Fluid Mechanics and Heat Transfer