Capstone (Math 451H) Spring 2007:
Shape and Break-up of a Pendant Drop
Department of Mathematical Sciences
Shape and Break-up of a Pendant Drop
Azfar Aziz
Kelly Crowe
Michael DeCaro
Assistant: Nebo Murisic
Instructor: Lou Kondic
Department of Mathematical Sciences, New Jersey Institute of
Technology
A liquid drop forms a distinct shape as it hangs or breaks up.
In the case of a pendant (hanging) drop, its shape is described by a
system of ordinary differential equations which define a boundary
value problem. Using Runge-Kutta numerical algorithm, we solve these
equations. A comparison of the results with the experimental drop
shapes, obtained using a goniometer, is then carried out.
In addition, we extend our computations in order to calculate
surface tension of a pendant drop by minimizing the difference
between computed and measured drop shapes (pendant drop method for
determining surface tension). Finally, we report the results of the
experiments of a drop break-up carried out using a high speed
camera. These results are used to analyze the breakup process and
compare the experimental results to a self-similar solution.
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