Vortex in a Bottle
Poster Number
36
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
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.