ANZIAM J.
45 (2003), 115

A flat ship theory on bow and stern flows

Songping Zhu
School of Mathematics and Applied Statistics
The University of Wollongong
Wollongong NSW 2522
Australia
spz@uow.edu.au



Yinglong Zhang
Center for Coastal and LandMargin Research
Department of Environmental Science and Engineering
Oregon Graduate Institute of Science and Technology
Beaverton OR 97006
USA



Abstract

An analytical solution of a twodimensional 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
initialboundary 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 WienerHopf technique and
closedform farfield 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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