Elizarov  A.M.,  Fokin  D.A.,  Galyavieva  M.S.  Problems  of
hydrofoil design for a given range of angles of attack//ZAMM.  --
1996. -- V.76. -- No.6. -- P. 337-340.

Developing of efficient  numerical  methods  of  the  design  and
optimization  of hydrofoils for a given range of angles of attack
is an importrant issue of modern hydrodynamics.  Common  approach
to  the  investigation  of  the  problems is based on solving the
inverse boundary-value problem for two angles of attack.  Initial
data  of  the  problem can be prescribed as function of different
parameters,  what affects the solvability and the method  of  the
solving.

For the case of incompressible ideal fluid around  a  symmetrical
hydrofoil  the  problem was considered by M.~J.~Lighthill (1945).
Velocity distribution and the angle of  attack  were  prescribed.
This idea was spread to the case of non-symmetrical hydrofoils by
M.~Glauert (1947)  and  R.~Eppler  (1957),  and  developed  in  a
practical  method  of the hydrofoil design by R.Eppler and Y.Shen
(1979, 1981).

A variant  of  the  problem   formulation   when   the   velocity
distribution  is  given  as  a  function of the arc length of the
hydrofoil's contour is  given  by  A.M.Elizarov  and  D.A.  Fokin
(1992). It is important to note that the use of the parameter $s$
allows to provide a non-stalling flow around the hydrofoil for  a
given  range  of  angles  of attack and to solve some interesting
problems of the hydrofoil optimization.

This paper is an attempt to pose the  universal  inverse  problem
for  two  angles of attack,  when the initial data are given as a
function of a generalized coordinate,  and to indicate common way
of its solving.