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Space Grant Consortium - University of Wisconsin - Green Bay

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Introduction<br />

The analysis <strong>of</strong> wake vortex data is a very important factor in airport efficiency. These vortices<br />

are normally not dangerous at typical flying altitudes, but become increasingly perilous to other<br />

aircraft when encountered close to the ground. If an aircraft were to fly through the wake vortex<br />

<strong>of</strong> a leading aircraft at a low speed and low altitude, there would be a high chance for the aircraft<br />

to become unstable and crash.<br />

To a void s ituations s uch a s t his, r egulations ha ve been i mposed t hat force d elays i n b etween<br />

landings. Since the wake vortices are invisible to the naked eye, the only information about them<br />

has been collected through lidar detection. There has been no reliable system developed thus far<br />

to predict their motion, so the regulations are based on the weight <strong>of</strong> the plane that created the<br />

wake vortices (2005).<br />

However, this system can be very inefficient and creates useless delays because in most cases,<br />

wake vortices decay much quicker than when predicted using the weight <strong>of</strong> the plane. If a model<br />

were to be developed that predicted wake vortex decay more efficiently, landing schedules could<br />

be pushed much closer together, leading to less delays and higher number <strong>of</strong> uses <strong>of</strong> each runway<br />

every day.<br />

Currently t here a re t hree accep ted m odels f or an alyzing w ake v ortices. T hese w ere d eveloped<br />

using information gathered from lidar detection. The three analytical models are the Burnham-<br />

Hallock Model¹, the Lamb-Oseen Model², and the TASS Initial Vortex Model³. The equations<br />

and variables for these models can be found in Appendix A.<br />

The purpose <strong>of</strong> this research has been to take steps toward the goal <strong>of</strong> developing a program to<br />

compare the analytical models <strong>of</strong> wake vortices to actual collected data. If the two data sets can<br />

be s hown t o co rrelate, t hese analytical m odels can be us ed t o m ake l anding pr ocedures m uch<br />

more e fficient. The s pecific f ocus o f m y p art i n t his r esearch w as t o create a p rogram th at<br />

compared t he experimental d ata co llected o n d ifferent as pects o f circulation pr operties in the<br />

wake vortices as they decay.<br />

Summary <strong>of</strong> Research<br />

To b egin m y research o n w ake v ortices, I created a joined program that co mpared t he t hree<br />

analytical models mentioned earlier with Ryan Coder and Tim Feyereisen. My part <strong>of</strong> the project<br />

was to create the velocity pr<strong>of</strong>ile for the Burnham-Hallock Model. The program allowed for the<br />

input <strong>of</strong> variables affecting the velocity and for the placement <strong>of</strong> the lidar simulator. When run,<br />

the pr ogram out put a c ontour pl ot <strong>of</strong> bot h vor tices a nd t he ve locity pr <strong>of</strong>ile a s t he l idar s wept<br />

through the wake vortices. This program gave a baseline understanding <strong>of</strong> the project we were<br />

working on as we split into our respective parts.<br />

The purpose <strong>of</strong> m y final program was t o cr eate a G raphical U ser Interface ( GUI) t o i mport<br />

circulation d ata an d allow t he u ser t o m anipulate t hat d ata i n o rder t o create p lots f or l ater<br />

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