Abstract
A dense cohesive sediment suspension, which contains primarily clay particles, is a thixotropic non-ideal Bingham fluid with a true yield stress. Its time-dependent rheological behaviour can be described by the structural kinetics theory in which the yield stress is taken as a measure for the structural parameter. This theory allows the construction of a more general equation of state, which is independent of the rate equation. The applicability of the model is demonstrated by examples of the prediction of constant structure curves and of transient behaviour. The thixotropy model is incorporated into a Navier-Stokes solver to stimulate the flow behaviour in a Couette viscometer.
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Abbreviations
- a :
-
Aggregation or recovery rate parameter
- b :
-
Break-down rate parameter
- c :
-
=µ0−µ∞
- k :
-
General rate parameter
- r :
-
Radial coordinate
- t :
-
Time
- β:
-
Break-down to recovery rate ratio=b/a
- y:
-
Shear rate
- η∞ :
-
Dynamic viscosity for fully broken structure
- λ:
-
Structural parameter= τ y /τ0
- µ0 :
-
Initial differential viscosity
- µ∞ :
-
Bingham viscosity
- τ:
-
Shear stress
- τ0 :
-
Initial yield stress (fully recovered structure)
- τ B :
-
Bingham stress
- τ y :
-
Yield stress
- τ S :
-
Static yield stress
- Ω:
-
Rotation speed
- ω:
-
Angular velocity
- e :
-
Equilibrium
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Toorman, E.A. Modelling the thixotropic behaviour of dense cohesive sediment suspensions. Rheol Acta 36, 56–65 (1997). https://doi.org/10.1007/BF00366724
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DOI: https://doi.org/10.1007/BF00366724