A drop freely suspended in another fluid and subjected to an electric field deforms and may either attain a stationary shape or break up. The extent of drop deformation depends on drop-medium physical properties and electric field strength. In a weak electric field, an initially spherical drop assumes a stationary shape close to spheroidal. Inverse optimization facilitates analyzing drop deformation as a function of the physical properties and allows finding cases when the drop may have stationary shapes other than spheroidal, e.g., toroidal shapes and shapes with conical ends.
BRIEF ACADEMIC/EMPLOYMENT HISTORY:
Michael Zabarankin is an Associate Professor in the Department of Mathematical Sciences at Stevens Institute of Technology, Hoboken, NJ. He holds a Ph.D. degree in Applied Mathematics from Taras Shevchenko National University of Kyiv (Kyiv, Ukraine) and also a Ph.D. degree in Operations Research from the University of Florida, Gainesville, FL.
MOST RECENT RESEARCH INTERESTS:
Inverse optimization, fluid mechanics, electrohydrodynamics