Macrostatistical hydrodynamics

Technical Report · Sun Jan 01 00:00:00 EST 1989

DOI:https://doi.org/10.2172/5123752· OSTI ID:5123752

Brenner, H

Work performed during this contract period involved performing trajectory measurements of the three-dimensional position of the falling ball as a function of time. This has allowed us to calculate the dispersivity of the falling ball around its mean settling velocity. Whereas the mean settling velocity predicts the continuum behavior of the suspension, the dispersivity allows insight into the non-continuum behavior of the suspension caused by the presence of the macroscopic suspended spheres. Experiments were performed for several sphere sizes (0.635 and 0.3125 cm diameter) as a function of volume fraction ({phi} = 0.30 and 0.50) and relative size ratio of the settling to suspended sphere diameter (0.5 to 4.0). In addition, the bulk behavior of monodisperse and bidisperse sphere suspensions were examined for both Poiseuille and Couette flows. This allowed qualitative analysis of shear-induced particle migration phenomena observed during the processing of highly-concentrated suspensions. Finally, numerical methods are being developed to allow a more complete understanding of the micromechanical effects which cause the dispersivity phenomenon in both falling-ball and shear-induced particle migration experiments.

• Research Organization: Massachusetts Inst. of Tech., Cambridge, MA (USA). Dept. of Chemical Engineering
• Sponsoring Organization: DOE/ER
• DOE Contract Number: FG02-88ER13896
• OSTI ID: 5123752
• Report Number(s): DOE/ER/13896-2; ON: DE90006011
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HYDRODYNAMICS
STATISTICAL MECHANICS
BROWNIAN MOVEMENT
COUETTE FLOW
MEASURING METHODS
PROGRESS REPORT
SUSPENSIONS
TRAJECTORIES
DISPERSIONS
DOCUMENT TYPES
FLUID FLOW
FLUID MECHANICS
MECHANICS
VISCOUS FLOW
640410* - Fluid Physics- General Fluid Dynamics
990200 - Mathematics & Computers