A Systematic Approach to the Bow Problem.
Abstract
The wave making effectiveness of a ship is an important feature that must be fully recognized in developing a uniformly valid slender-ship theory for the wave resistance problem. The usual results of ordinary slender-ship theory are invalid near the bow of a slender ship because the theory fails to take into account the dominant effects of the divergent wave system in this region. A new approach based on the matched asymptotic expansions technique is used to solve the bow problem. The general solution of the far-field problem includes the well-known wave-free potentials plus the potential due to a line distribution of wave sources that extends outside the limits of the ship to guarantee the proper description of the far-field flow. The bow-near-field problem and the general form of its solution are derived. In order to match the two solutions in their overlap domain near the bow, the far-field source function is decomposed into two parts that include a 'slowly' varying source function and a 'rapidly' varying source function. The slowly varying sources can be determined from the solution of the bow-near-field problem. However, the rapidly varying sources, which are associated with the disturbances ahead of the bow and consequently needed to obtain the solution of the bow-near-field problem, cannot be determined unless we match the bow flow to the middle-body flow. The next step in the analysis will concern this problem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1978
- Accession Number
- ADA062560
Entities
People
- Nabil Daoud
Organizations
- University of Michigan