{'fraction_non_alphanumeric': 0.017094017094017096, 'fraction_numerical': 0.004273504273504274, 'mean_word_length': 4.783950617283951, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
On the transition to planing of a boat

This paper is concerned with the problem of the transition to planing of a boat. A steady-state nonlinear solution of the problem is obtained using a theory of fluid sheets for two-dimensional motion of an incompressible inviscid fluid contained in the paper of Green & Naghdi (1977), together with appropriate jump conditions demanded by the theory. The motion of the fluid is coupled with the motion of a free-floating body and detailed analysis is undertaken pertaining to such features as the sinkage, the bow-up trim angle and the determination of the propulsion force. In particular, the results show that the governing mechanism of the hump speed phenomenon is the change in the bow-up trim angle of the boat. The differential equations and the relevant boundary conditions of the problem are reduced to a system of essentially algebraic equations whose solutions are obtained numerically.