Related Experiment Video
Updated: Jan 25, 2026

Fabricating High-viscosity Droplets using Microfluidic Capillary Device with Phase-inversion Co-flow Structure
Published on: April 17, 2018
Free-Surface Variational Principle for an Incompressible Fluid with Odd Viscosity
Alexander G Abanov1, Gustavo M Monteiro2
1Simons Center for Geometry and Physics and Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA.
Abstract:
We present variational and Hamiltonian formulations of incompressible fluid dynamics with a free surface and nonvanishing odd viscosity. We show that within the variational principle the odd viscosity contribution corresponds to geometric boundary terms. These boundary terms modify Zakharov's Poisson brackets and lead to a new type of boundary dynamics. The modified boundary conditions have a natural geometric interpretation describing an additional pressure at the free surface proportional to the angular velocity of the surface itself. These boundary conditions are believed to be universal since the proposed hydrodynamic action is fully determined by the symmetries of the system.
Related Concept Videos
Surface Tension, Capillary Action, and Viscosity
The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
Viscosity of Fluid
Pressure Variation in a Fluid at Rest
When measuring pressure at two different levels within the fluid, the difference in...
Surface Tension of Fluid
Surface tension varies...
Even and Odd Signals
Odds Ratio

