The axisymmetric and plane cases of a gas phase steadily displacing a Newtonian liquid—A simultaneous solution of the governing equations
- 1 August 1997
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 9 (8) , 2420-2428
- https://doi.org/10.1063/1.869360
Abstract
The flow induced by a long bubble steadily displacing a liquid confined by two closely located parallel plates or by a cylindrical tube of small diameter is numerically analyzed. The technique employed solves the complete set of governing equations simultaneously. The present analysis encompasses, and also extends, the whole range of Capillary values previously studied with various numerical techniques. The results shown uncover a type of recirculating flow pattern that appears to have been overlooked before. The effects of the inertial forces on the liquid flow rate are also assessed.Keywords
This publication has 16 references indexed in Scilit:
- Axisymmetric creeping motion of drops through circular tubesJournal of Fluid Mechanics, 1990
- Transport of gas bubbles in capillariesPhysics of Fluids A: Fluid Dynamics, 1989
- Boundary Integral Analysis of the Creeping Flow of Long Bubbles in CapillariesJournal of Applied Mechanics, 1989
- An extension of the biharmonic boundary integral method to free surface flow in channelsJournal of Computational Physics, 1988
- Measuring the film thickness surrounding a bubble inside a capillaryJournal of Colloid and Interface Science, 1986
- The Penetration of a Finger into a Viscous Fluid in a Channel and TubeSIAM Journal on Scientific and Statistical Computing, 1985
- A Finite Element Study of Low Reynolds Number Two-Phase Flow in Cylindrical TubesJournal of Applied Mechanics, 1985
- Two-phase displacement in Hele Shaw cells: theoryJournal of Fluid Mechanics, 1984
- The motion of long bubbles in tubesJournal of Fluid Mechanics, 1961
- Deposition of a viscous fluid on the wall of a tubeJournal of Fluid Mechanics, 1961