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\begin{document}

\title{Water wave diffraction by a submerged prolate spheroid in ice-covered
water}



\author[1]{Mita Majumder}%
\author[1]{Dilip Das}%
\affil[1]{Diamond Harbour Women's University}%


\vspace{-1em}



  
  \date{May 07, 2024}


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\begin{abstract}
Using the multipoles method, we formulate the problems of diffraction
(both surge and heave) of water waves by a submerged prolate spheroidal
body in deep water with an ice-cover, with the ice-cover being modelled
as an elastic plate of very small thickness. It investigates the linear
hydrodynamic diffraction problem by prolate spheroidal body and obtained
the analytical solution for the associated boundary value problem. The
structural model is a spheroidal with its polar axis greater than its
equatorial diameter, subjected to the action of incident wave. The
hydrodynamic forces (Surge and heave exciting forces) are obtained and
depicted graphically against the wave number for various parameters and
also the flexural rigidity of the ice-cover to show the effect of the
presence of ice-cover on these quantities. When the flexural rigidity is
taken to be zero, the numerical results for the forces for water with
free surface are recovered.%
\end{abstract}%



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