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A flat ship theory on bow and stern flows

Published online by Cambridge University Press:  17 February 2009

Songping Zhu and
Yinglong Zhang
Songping Zhu
Affiliation:
School of Mathematics and Applied Statistics, The University of Wollongong, Wollongong NSW 2522, Australia; e-mail: spz@uow.edu.au.
Yinglong Zhang
Affiliation:
Center for Coastal and Land-Margin Research, Department of Environmental Science and Engineering, Oregon Graduate Institute of Science and Technology, Beaverton OR 97006, USA.
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Abstract

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An analytical solution of a two-dimensional bow and stern flow model based on a flat ship theory is presented for the first time. The flat ship theory is a counterpart to Michell's thin ship theory and leads to a mixed initial-boundary value problem, which is usually difficult to solve analytically. Starting from the transient problem, we shall first show that a steady state is attainable at the large time limit. Then the steady problem is solved in detail by means of the Wiener-Hopf technique and closed-form far-field results are obtained for an arbitrary hull shape. Apart from providing a better understanding of the underlying physics, the newly found analytical solution has shed some light on solving a longtime outstanding problem in the engineering practice of ship building, the optimisation of hull shape.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 1 , July 2003, pp. 1 - 15
Copyright
Copyright © Australian Mathematical Society 2003

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