LUBRICATED TRANSPORT OF VISCOUS FLUIDS

Technical Report · Mon Jun 21 00:00:00 EDT 2004

DOI:https://doi.org/10.2172/825229· OSTI ID:825229

JOSEPH, DANIEL D

We became the acknowledged world leaders in the science fundamentals of the technology of water lubricated pipelines focusing on stability, numerical and experimental studies. We completed the first direct numerical simulation of axisymmetric core flow. We showed that the pressure at the front of the wave is large (the fluid enters a converging region) and it pushes the interface in, steepening the wave at its front. At the backside of the wave, behind the crest, the pressure is low (diverging flow) and it pulls the interface to the wall, smoothing the backside of the wave. The steepening of the wave can be regarded as a shock up by inertia and it shows that dynamics works against the formation of long waves which are often assumed but not justified in the analysis of such problems. We showed that the steep wave persists even as the gap between the core and the wall decreases to zero. The wave length also decreases in proportion, so that the wave shape is preserved in this limit. This leads to the first mathematical solution giving rise sharkskin. The analysis also showed that there is a threshold Reynolds number below which the total force reckoned relative to a zero at the wave crest is negative, positive above, and we conjectured, therefore that inertia is required to center a density matched core and to levitate the core off the wall when the density is not matched. Other work relates to self-lubricated transport of bitumen froth and self-lubricated transport of bitumen froth.

• Research Organization: UNIVERSITY OF MINNESOTA, MINNEAPOLIS, MN
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: FG02-87ER13798
• OSTI ID: 825229
• Report Number(s): DOE/ER/13798- Final Report
• Country of Publication: United States
• Language: English

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