Award Abstract # 9910908
Nonlinear-Flow-Induced Structure in Fiber Suspensions

NSF Org: CBET
Division of Chemical, Bioengineering, Environmental, and Transport Systems
Recipient: CORNELL UNIVERSITY
Initial Amendment Date: May 25, 2000
Latest Amendment Date: July 29, 2002
Award Number: 9910908
Award Instrument: Continuing Grant
Program Manager: Triantafillos Mountziaris
CBET
 Division of Chemical, Bioengineering, Environmental, and Transport Systems
ENG
 Directorate for Engineering
Start Date: June 1, 2000
End Date: May 31, 2004 (Estimated)
Total Intended Award Amount: $250,000.00
Total Awarded Amount to Date: $250,000.00
Funds Obligated to Date: FY 2000 = $80,000.00
FY 2001 = $90,000.00

FY 2002 = $80,000.00
History of Investigator:
  • Donald Koch (Principal Investigator)
    dlk15@cornell.edu
Recipient Sponsored Research Office: Cornell University
341 PINE TREE RD
ITHACA
NY  US  14850-2820
(607)255-5014
Sponsor Congressional District: 19
Primary Place of Performance: Cornell University
341 PINE TREE RD
ITHACA
NY  US  14850-2820
Primary Place of Performance
Congressional District:
19
Unique Entity Identifier (UEI): G56PUALJ3KT5
Parent UEI:
NSF Program(s): PMP-Particul&MultiphaseProcess
Primary Program Source: app-0100 
01000102DB NSF RESEARCH & RELATED ACTIVIT

app-0102 
Program Reference Code(s): 0000, 9231, 9251, OTHR
Program Element Code(s): 141500
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.041

ABSTRACT

Abstract
CTS-9910908
D. L. Koch, Cornell University

The rheological behavior of such complex fluids as fiber suspensions, crystal polymers, etc. are important in the paper, food, and pharmaceutical industries. Linear solutions exist for a number of these flows, but for many applications, nonlinear terms become important and must be included. It is proposed to study thee nonlinearities in the context of four situations highlighting viscoelasticity, fluid inertia, electrical double layer interactions, and fiber-fiber adhesion:

i) Oscillatory linear flows do not show any change of orientation from one cycle to the next: there is, however, a cumulative drift of orientation when non-linear terms appear. Three such cases will be studied for a wide range of amplitude and frequency.
ii) The case of fibers suspended in fluids emphasizes the inertia forces when considering their length (high Reynolds numbers), but viscous effects may dominate when the fiber diameter is the relevant dimension (Reynolds numbers near unity). A slender body theory will be developed and applied to the case of a single rotating fiber in a Couette flow.
iii) Electrically charged rods are expected to interact with ions of opposite charge, with their resulting effect on the rod orientation. Experiments are planned to test the PI's earlier theoretical work on electoviscous effects.
iv) Dense suspensions bring together viscous effects (fluid-body surface interaction) and Columbic friction laws (body-body contact). Such interactions will be studied with special attention to adhesive fiber-fiber contact.

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