file2.txt

in the study of high speed viscous flow past a two dimensional body it
is usually necessary to consider a curved shock wave emitting from the
nose or leading edge of the body .  consequently , there exists an inviscid
rotational flow region between the shock wave and the boundary layer
. such a situation arises , for instance , in the study of the hypersonic
viscous flow past a flat plate .  the situation is somewhat different
from prandtls classical boundary layer problem . in prandtls
original problem the inviscid free stream outside the boundary layer is
irrotational while in a hypersonic boundary layer problem the inviscid
free stream must be considered as rotational .  the possible effects of
vorticity have been recently discussed by ferri and libby .  in the present
paper , the simple shear flow past a flat plate in a fluid of small
viscosity is investigated .  it can be shown that this problem can again
be treated by the boundary layer approximation , the only novel feature
being that the free stream has a constant vorticity .  the discussion
here is restricted to two dimensional incompressible steady flow .