Flow in driven cavities with a free surface
- 1 January 1989
- journal article
- research article
- Published by Wiley in AIChE Journal
- Vol. 35 (1) , 129-138
- https://doi.org/10.1002/aic.690350114
Abstract
A study of the flow of viscous liquids contained in an open cavity driven by a moving wall has been undertaken as a first step toward understanding interphase heat and mass transport in polymer processing equipment where rolling pools of liquid are generated. Solutions to the equations of motion for creeping flow in cavities of different aspect ratios were obtained using a finite‐differences technique for circumstances when the wall moves in the same direction as the gravitational field.Experimental studies of the flow patterns in cavities of various aspect ratios were found to be in good agreement with the creeping flow predictions for cavity Reynolds numbers Re < 50 and aspect ratios a < 1. The structure of the flow in this geometry was found to be similar to that in closed cavities of the same shape. The position and strength of the principal vortex were observed to be nearly independent of the existence of a free surface, and the gas‐liquid interface was found to significantly stabilize the rotational motion in shallow cavities.Keywords
This publication has 19 references indexed in Scilit:
- Matched eigenfunction expansions for slow flow over a slotJournal of Non-Newtonian Fluid Mechanics, 1982
- A moving fluid interface. Part 2. The removal of the force singularity by a slip flowJournal of Fluid Mechanics, 1977
- Closed Streamlines Associated with Channel Flow over a CavityPhysics of Fluids, 1972
- Fast finite-difference solution of biharmonic problemsCommunications of the ACM, 1972
- Steady flows in rectangular cavitiesJournal of Fluid Mechanics, 1967
- Analytical and numerical studies of the structure of steady separated flowsJournal of Fluid Mechanics, 1966
- I. Eigenmotion analysisProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1965
- Viscous and resistive eddies near a sharp cornerJournal of Fluid Mechanics, 1964
- On steady laminar flow with closed streamlines at large Reynolds numberJournal of Fluid Mechanics, 1956
- On the steady motion of viscous liquid in a cornerMathematical Proceedings of the Cambridge Philosophical Society, 1949