process. The rear cowl creates neither turning nor
braking torque, its participation is minimal. The
greatest braking torque is created by the front cowl;
the output part of the helixes also creates a slight
braking at small and medium angles of inclination of
the helix, however, with an increase of this angle, the
value of the braking torque drops to zero at 39
degrees.
One of the main differences from the formation of
thrust is the fact that the behaviour of the cylindrical
part of the helixes of the fore Archimedes screw in
this case is practically unchanged for all three models
studied. The values of the specific moment on these
elements are 2…3 times more than those on the input
helixes.
When comparing the behaviour of the propulsor
elements and their participation in the formation of
the torque in the mooring mode it can be concluded
that the overall picture, as in the case with thrust, is
almost identical to the running mode.
4 ANALYSIS OF THE
DISTRIBUTION OF THRUST
AND TORQUE ALONG THE
LENGTH OF THE HELIXES
Of particular interest is the distribution of thrust and
torque along the length of the helixes of the rotary-
screw propulsor shown in Figures 5 and 6. For
graphical representation, the helixes are divided into
10 elements, numbered in order from fore to aft
(Figure 1). So, the value "0" corresponds to the input
element of the helixes, and "9" corresponds to the
output one. These values on the diagrams are
postponed along the abscissa axis.
When analyzing the patterns of thrust distribution
in the running and mooring modes, we can note their
fundamental similarity for all models in both modes.
The nature of the curves is exactly the same for the
certain elements of the helixes. The front part of the
aft Archimedes screw (element "5") takes the greatest
part in creating thrust, which is presumably explained
by the work in the flow twisted in the opposite
direction by the fore Archimedes screw. In addition,
a significant contribution is made by the front part of
the rotary-screw propulsor, namely, the input part of
the helixes and the front part of the fore Archimedes
screw (elements "0" and "1"). A small thrust is
created by the middle parts of the Archimedes screws.
The greatest resistance is created by the rear part of
the fore Archimedes screw, although the rear part of
the aft Archimedes screw together with the rear cowl
makes a small contribution to this process. The
patterns are identical for both running and mooring
modes.
The torque distribution also has a similar
character (Figure 6). As it can be seen, the greatest
contribution to the creation of the torque is also made
by the front part of the propulsor helixes. The middle
and rear parts of the fore Archimedes screw in the
running mode create very little torque, but in the
mooring mode they practically do not participate in
this process, as well as the rear part of the aft
Archimedes screw in all modes.
An interesting thing is the transition of part of the
elements to the "turbine mode", that is to the
operating mode when the element creates a negative
braking torque. To simplify the perception of such a
mode, a picture can be conditionally imagined when
the water flow is not twisted by the propulsor, but vice
versa. A low turbine mode is observed on the output
part of the helixes, but a much larger braking torque
is created by the front and middle part of the aft
Archimedes screw or, to be more precise, almost its
entire cylindrical part. This can be explained by
working in a stream of water twisted by the front
screw, and, characteristically, this behaviour is
manifested for all the considered helix angles in all
modes, which allows us to assume quite confidently
that such a picture will be typical for Archimedes
screws with other parameters.
5 CONCLUSIONS
Based on the analysis of the above patterns, it can be
concluded that the obtained dependences illustrate
stable trends in the behaviour of specific elements of
tandem rotary-screw propulsors of snow and swamp-
going vehicles with typical parameters, regardless of
the speed and number of revolutions, including
mooring mode. Taking into account the stability and
generality of the nature of the thrust and torque
curves, it is safe to assume that the data obtained can
be used to study the hydrodynamic interaction of
tandem rotary-screw propulsion units with the water
area also with other parameters of the geometry of the
Archimedes screws and the working area.
ACKNOWLEDGEMENTS
The results of the given study have been obtained
with financial support of the grants of the President of
the Russian Federation № MK-336.2022.4.