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Article Dans Une Revue Physical Review Letters Année : 2019

Unified Theoretical and Experimental View on Transient Shear Banding

Résumé

Dense emulsions, colloidal gels, microgels, and foams all display a solidlike behavior at rest characterized by a yield stress, above which the material flows like a liquid. Such a fluidization transition often consists of long-lasting transient flows that involve shear-banded velocity profiles. The characteristic time for full fluidization τf has been reported to decay as a power law of the shear rate ˙γ and of the shear stress σ with respective exponents α and β. Strikingly, the ratio of these exponents was empirically observed to coincide with the exponent of the Herschel-Bulkley law that describes the steady-state flow behavior of these complex fluids. Here we introduce a continuum model, based on the minimization of a “free energy,” that captures quantitatively all the salient features associated with such transient shear banding. More generally, our results provide a unified theoretical framework for describing the yielding transition and the steady-state flow properties of yield stress fluids.
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Dates et versions

hal-02406078 , version 1 (11-02-2021)

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Roberto Benzi, Thibaut Divoux, Catherine Barentin, Sébastien Manneville, Mauro Sbragaglia, et al.. Unified Theoretical and Experimental View on Transient Shear Banding. Physical Review Letters, 2019, 123 (24), pp.248001. ⟨10.1103/PhysRevLett.123.248001⟩. ⟨hal-02406078⟩
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