VISCOUS FLUID MOTION IN A PRECESSING CYLINDERстатья
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Дата последнего поиска статьи во внешних источниках: 11 мая 2017 г.
Аннотация:The
solution
of
the
linearized
Navier--Stokes
equations
for
determining
the
steady
relative
motion
of
a
low-viscosity
incompressible
fluid
partly
filling
a
cylindrical
vessel
executing
regular
precession
with
a
small
angle
of
nutation
is
constructed.
The
shape
of
the
free
surface
and
the
axial
component
of
the
moment
of
the
forces
exerted
by
the
fluid
on
the
lateral
surface
of
the
vessel
are
determined.
The
analogous
problem
for
an
entirely
full
vessel
was
solved
in
[1].
In
accordance
with
the
theorem
on
the
change
of
angular
momentum
of
the
system,
the
axial
moment
of
the
viscous
stresses
proved
to
be
a
second-order
quantity.
In
[2]
it
was
shown
that
the
corresponding
relative
flow
is
described
by
the
second
approximation
for
the
solution
of
the
nonlinear
Navier--Stokes
equations.