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Gravitational collapse of colloidal gels
S Manley1, J M Skotheim, L Mahadevan
1Department of Physics and DEAS, Harvard University, Cambridge, Massachusetts 02138, USA.
Colloidal gels collapse under gravity, with dynamics depending on gravitational versus yield stress. The rate is limited by backflow, and the magnitude balances gravitational and elastic stresses.
Area of Science:
- Colloid and Gel Science
- Materials Physics
- Rheology
Background:
- Colloidal gels are complex fluids with a yield stress.
- Understanding their mechanical behavior under self-weight is crucial for applications.
Purpose of the Study:
- To develop a unified framework for colloidal gel compaction under self-weight.
- To elucidate the roles of gravitational and yield stress in gel collapse dynamics.
Main Methods:
- Theoretical modeling of gel compaction.
- Analysis of stress balances (gravitational, yield, elastic).
- Investigation of poroelastic and yielding regimes.
Main Results:
- Gel collapse dynamics are governed by the ratio of gravitational stress (sigma(g)) to yield stress (sigma(Y)).
- For sigma(g)
- For sigma(g)>sigma(Y), rapid settling follows network yielding.
- Backflow limits the collapse rate, while magnitude depends on stress balance.
Conclusions:
- A unified framework explains colloidal gel compaction under self-weight.
- The interplay between gravitational and elastic stresses dictates collapse magnitude.
- The yield stress critically determines the collapse mechanism and rate.
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