Shear localisation with 2D viscous froth and its relation to the continuum model |
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Authors: | Joseph D Barry Denis Weaire Stefan Hutzler |
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Institution: | (1) School of Physics, Trinity College Dublin, Dublin, Ireland |
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Abstract: | Simulations of monodisperse and polydisperse (μ
2(A) = 0.13±0.002) 2D foam samples undergoing simple shear are performed using the 2D viscous froth (VF) model. These simulations
clearly demonstrate shear localisation. The dependence of localisation length on the product λV (shearing velocity V times the wall drag coefficient λ) is examined and is shown to agree qualitatively with published experimental data. A wide range of localisation lengths is
found at low λV, an effect which is attributed to the existence of distinct yield and limit stresses. The general continuum model is extended
to incorporate such an effect and its parameters are subsequently related to those of the VF model. A Herschel–Bulkley exponent
of a = 0.3 is shown to accurately describe the observed behaviour. The localisation length is found to be independent of λV for monodisperse foam samples. |
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