To study the decay of the jet velocity over distance, velocity
profiles of the jet were examined at specified locations
downstream of the vent exit. A pitot-static probe was used to
obtain pressure measurements of the jet, because of its high
level of accuracy. The fan assembly was placed at a designated
position and the pitot probe was placed directly at the center
of the vent exit. The fan was turned on and the pressure
reading at the center of the vent exit was obtained by means of
a digital pressure meter. The pitot probe was then moved
upwards in one centimeter increments and the corresponding
pressure readings were recorded. This process was followed
until the upper boundary of the jet had been found. The same
procedure was followed on the lower portion of the jet. From
these pressure readings, the vertical velocity profile at the
exit of the vent was calculated. Following the same procedures,
the vertical velocity profiles were calculated at one foot
intervals to a maximum distance of six feet. A maximum distance
of six feet was chosen because it is the half scale distance to
the gunner position in the actual system. This gunner position
is the primary target of the vent system.
The analysis of the data obtained from the testing of the
Vehicle Movement System prototype produced the flow profile seen
in the figure below. This figure shows how the air flow
developed over the testing distance. Both the spread of
the jet and its relative velocity can be seen for the different
testing locations. It can be seen in this figure that
there was a negative velocity obtained at the top of the vent
exit. This is most likely due to a large turbulent
formation occurring from the sharp 90 degree turn of the duct
system. This sharp turn was caused by a mass flow
separation, which introduced vortices into the air flow.
** Note: X-axis distance is not to scale**
The theoretical spread rate of a plane rectangular jet is 0.11.
This theoretical spread rate was compared to the experimental
spread rate of the air flow from the vent. From the spread rate
data collected from the experiment, the spread rate from the
vent of the prototype was 0.1181 for the flow above the
centerline velocity and 0.1083 below the centerline velocity.
The first two points were disregarded for the spread due to
their deviation from the rest of the points. It is most likely
that this deviation is due to the large turbulent area found at
the top of the jet exit.
As a result, the spread rate of the air flow from the prototype
is very similar to the expected theoretical data. The flow
above the centerline velocity had a percent error of 7.36% and
the flow below the centerline velocity had a percent error of
1.54%.
From the test data the centerline velocity was plotted against
the distance from the vent exit. The maximum velocity of the
air flow at the vent exit was 42.76 mph and it decreased to a
velocity of 15.79 mph six feet away from the vent exit. This
can be seen in the figure below.
Theoretically,
the velocity of a turbulent plane jet decreases as the distance
from the jet increases at a rate of x-1/2, where x is
the half width of the jet. The velocity vs. distance graph
shows that the velocity of the air flow decreases at a rate
similar to x-1/2.
This graph is in non-dimensional units and can be scaled to any
size model. Assuming that the actual system follows this model,
the centerline velocity at the vent exit should be approximately
115 mph in order for the target to attain 40 mph winds. With no
losses, the average velocity exiting the actual vent system
would be 163 mph. Assuming this is the centerline velocity, the
duct system must be at least 72% efficient for this fan to reach
the specified wind requirements.
For a turbulent rectangular jet, the potential core vanishes at
a distance of about one diameter from the exit. As the distance
from the vent increases, the theoretical profile of the velocity
develops a flatter shape. Velocity profiles for the prototype
were developed at 0, 12, 24, 36, 48, 60, and 72 inches away from
the exit of the vent. Based on the velocity profile data
collected from the experiment, which is referenced in Appendix
F, the velocity profiles developed a flatter shape as the
distance from the vent increased. As a result, the velocity
profiles developed in the experiment followed the theoretical
trend.
It was also observed from the data collected that the
centerline height of the velocity drops as the distance from the
exit of vent increases. The total drop in height of this
centerline velocity at a distance of six feet from the exit of
the vent, shown in Figure 6.6, was 26 cm.
After analyzing the data acquired from the Vehicle Movement
System testing, conclusions were made in order to help improve
the originally proposed design. The prototype model experienced
a mass flow separation prior to the exit of the vent. This flow
separation led to a lower exit velocity and a non-uniform flow
profile. Due to the fact that the prototype had a sharp 90
degree bend in the duct system, it is likely that it experienced
more turbulence than the actual design would. The actual
designed system incorporated a rounded turn, which would help
reduce some of incurred turbulence. In order to further reduce
the amount of turbulence created by the system, guide fins could
be added to help direct the flow around the 90 degree turn to
the vent exit. Extending the length of the vent exit would also
help allow the flow to redevelop before it leaves the vent
exit. A directional vent could also be added to the vent exit
in order to help direct the flow to the desired target location. |