A theoretical model for core-annular flow of a very viscous oil core and a water annulus through a horizontal pipe
Abstract
The mechanism by which the buoyancy force on the core, resulting from any density difference between oil and water, is counterbalanced in a theoretical model of core-annular flow of a viscous oil core and a water annulus through a pipe was analyzed. Oil viscosity was assumed to be so high that any flow in the core may be neglected, therefore there is no variation with time of the oil-water interface form. The core was assumed to be solid and the interface to be a solid-liquid interface. By means of the hydrodynamic lubrication theory, it is proved that, due to the movement of ripples present in the core surface with respect to the pipe wall, pressure variations occur in the annular layer, which exert a force on the core. This force can be so large that the buoyancy force is counterbalanced.
- Publication:
-
Unknown
- Pub Date:
- July 1982
- Bibcode:
- 1982tmca.rept.....O
- Keywords:
-
- Annular Flow;
- Binary Fluids;
- Buoyancy;
- Pipe Flow;
- Boundary Lubrication;
- Liquid-Liquid Interfaces;
- Liquid-Solid Interfaces;
- Oils;
- Viscosity;
- Fluid Mechanics and Heat Transfer