Rheological regimes in agitated granular media under shear
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913780985757696 |
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| author | D'Angelo, Olfa Sperl, Matthias Kranz, W. Till |
| author_facet | D'Angelo, Olfa Sperl, Matthias Kranz, W. Till |
| contents | Agitated granular media have a rich rheology: they exhibit Newtonian behavior at low shear rate and density, develop a yield stress at high density, and cross over to Bagnoldian shear thickening when sheared rapidly -- making them challenging to encompass in one theoretical framework. We measure the rheology of air-fluidized glass particles, spanning five orders of magnitude in shear rate. By comparing fluidization-induced to Brownian agitation, we show that all rheological regimes can be delineated by two dimensionless numbers -- the Peclet number, $\Pe$, and the ratio of shear-to-fluidization power, $Π$ -- and propose a constitutive relation that captures all flow behaviors, qualitatively and quantitatively, in one unified framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01297 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rheological regimes in agitated granular media under shear D'Angelo, Olfa Sperl, Matthias Kranz, W. Till Soft Condensed Matter Agitated granular media have a rich rheology: they exhibit Newtonian behavior at low shear rate and density, develop a yield stress at high density, and cross over to Bagnoldian shear thickening when sheared rapidly -- making them challenging to encompass in one theoretical framework. We measure the rheology of air-fluidized glass particles, spanning five orders of magnitude in shear rate. By comparing fluidization-induced to Brownian agitation, we show that all rheological regimes can be delineated by two dimensionless numbers -- the Peclet number, $\Pe$, and the ratio of shear-to-fluidization power, $Π$ -- and propose a constitutive relation that captures all flow behaviors, qualitatively and quantitatively, in one unified framework. |
| title | Rheological regimes in agitated granular media under shear |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2409.01297 |