ANZIAM J.
45 (2003), 1-15
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A flat ship theory on bow and stern flows
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Songping Zhu
School of Mathematics and Applied Statistics
The University of Wollongong
Wollongong NSW 2522
Australia
spz@uow.edu.au
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Yinglong Zhang
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.
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