000014901 001__ 14901
000014901 005__ 20161115100205.0
000014901 04107 $$aeng
000014901 046__ $$k2016-08-21
000014901 100__ $$aBarker, Thomas
000014901 24500 $$aWell-posed continuum modelling of granular flow

000014901 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014901 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014901 506__ $$arestricted
000014901 520__ $$2eng$$aBy combining a plastic flow rule with co-linearity of stress and strain-rate, a viscosity is formed that is reflective of dissipation in flowing granular material. Unfortunately, if the ratio of shear and normal stress [1, is taken to be a constant then the equations are always ill-posed [1]. Much experimental evidence is better fit by instead having [1, : MU) [2] where the inertial number I is a non-dimensional grouping of invariant particle and flow properties and is reflective of the deformation time-scales. We present a linear stability analysis of the resultant equations to show that this model is well-posed for intermediate values of I but exhibits unbounded growth of short-wavelength perturbations when flows vary too slowly or too quickly [3]. This makes reliable numerical solution impossible as grid-scale variations will dominate temporal solutions. It is possible to circumvent these issues by considering only steady or shallow flows [4] but additional physical effects should be included to ensure full regularisation.

000014901 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014901 653__ $$a

000014901 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014901 720__ $$aBarker, Thomas
000014901 8560_ $$ffischerc@itam.cas.cz
000014901 8564_ $$s151565$$uhttps://invenio.itam.cas.cz/record/14901/files/TS.FS08-1.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 3349, code TS.FS08-1.05
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000014901 962__ $$r13812
000014901 980__ $$aPAPER