Levich Institute Seminar Announcement, 10/26/2004

Tuesday, 10/26/2004
2:30 PM
Steinman Hall, Room #312
(Chemical Engineering Conference Room)

Professor Pushpendra Singh
New Jersey Institute of Technology
Department of Mechanical Engineering

"Fluid Dynamics of Floating Particles"


We have developed a numerical package to simulate particle motions in fluid interfaces. The particles are moved in a direct simulation respecting the fundamental equations of motion of fluids and solid particles without the use of models. The fluid-particle motion is resolved by the method of distributed Lagrange multipliers and the interface is moved by the method of level sets. The present work fills a gap since there are no other theoretical methods available to describe the nonlinear fluid dynamics of capillary attraction. Two different cases of constrained motions of floating particles are studied. In the first case, we study motion of floating spheres under the constraint that the contact angle is fixed by the Young-Dupre law. The contact line is moved to ensure that the contact angle remains fixed. In the second case, we study motion of disks under the constraint that the contact line is pinned at the top sharp edges of the disks and the contact angle changes within the limits specified by Gibbs extension to the Young-Dupre law. We simulate the evolution of a single heavier-than-liquid sphere and disk to the equilibrium depth and the transient free motions of spheres and disks leading ultimately to self-assembly under lateral capillary forces.

  • Technical Staff member, Los Alamos National Laboratory, Los Alamos, NM (1995-96)
  • Postdoc, University of California, Santa Barbara (1991-1995) (Advisor: Dr. Gary Leal)
  • Ph.D., University of Minnesota (1991) (Advisor: Dr. D.D. Joseph)
  • M.S., University of Minnesota (1989)
  • B.Tech., Indian Institute of Technology Kanpur, India (1985)


Multiphase flows, viscoelastic liquids, computational fluid dynamics of multiphase liquids, electrorheological fluids