Title

Vortex in a Bottle

Poster Number

36

Lead Author Major

Electrical Engineering and Engineering Physics

Format

Poster Presentation

Faculty Mentor Name

Sebastian Marotta

Faculty Mentor Department

Mathematics

Abstract/Artist Statement

At the outset of this research project, we intended to model the vortexes often formed when a fluid is being drained. Before this could be done we wanted to first understand the model of one dimensional unsteady flow of a cylindrical tank. We found the problem reaches far back to before the first usage of differential equations. We adapted a change of variables technique and managed to obtain a new improved analytical solution. We compare past solutions to ours, and show how without the assumptions made in previous solutions, a more accurate model can be developed.

Location

DeRosa University Center, Ballroom

Start Date

25-4-2015 2:00 PM

End Date

25-4-2015 4:00 PM

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Apr 25th, 2:00 PM Apr 25th, 4:00 PM

Vortex in a Bottle

DeRosa University Center, Ballroom

At the outset of this research project, we intended to model the vortexes often formed when a fluid is being drained. Before this could be done we wanted to first understand the model of one dimensional unsteady flow of a cylindrical tank. We found the problem reaches far back to before the first usage of differential equations. We adapted a change of variables technique and managed to obtain a new improved analytical solution. We compare past solutions to ours, and show how without the assumptions made in previous solutions, a more accurate model can be developed.