Instability of a spherical drop with surface chemical reactions and transfer of surfactants
Abstract
A mathematical model is developed for the instability of a spherical drop with surface chemical reactions and transfer of surfactants. The linearized Navier-Stokes equations are solved for an incompressible fluid drop immersed in an infinite surrounding fluid. The linearized diffusion-convection equation is then solved in spherical coordinates under the assumption that the initial concentration profiles of the surfactants are parabolic. The present model may be used to explain 'kicking drops', spontaneous emulsification, and cell division and other cytokinetic phenomena.
- Publication:
-
Dynamics and Instability of Fluid Interfaces
- Pub Date:
- 1979
- DOI:
- 10.1007/3540095241_9
- Bibcode:
- 1979LNP...105..276S
- Keywords:
-
- Chemical Reactions;
- Drops (Liquids);
- Interface Stability;
- Interfacial Tension;
- Surface Reactions;
- Surfactants;
- Autocatalysis;
- Dimensionless Numbers;
- Hydrodynamic Equations;
- Incompressible Fluids;
- Rayleigh Number;
- Surface Diffusion;
- Taylor Instability;
- Fluid Mechanics and Heat Transfer