Da Vinci Fluids, catch-up dynamics and dense granular flow

Details Da Vinci Fluids, catch-up dynamics and dense granular flow Da Vinci Fluids, catch-up dynamics and dense granular flow

2009-08-11

arxiv.org/abs/0908.1459v2

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 3 figures, edited for clarifications and added references

Scientific paper

We introduce and study a da Vinci Fluid, a fluid whose dissipation is dominated by solid friction. We analyse the flow rheology of a discrete model and then coarse-grain it to the continuum. We find that the model gives rise to behaviour that is characteristic of dense granular fluids. In particular, it leads to plug flow. We analyse the nucleation mechanism of plugs and their development. We find that plug boundaries generically expand and we calculate the growth rate of plug regions. In systems whose internal effective friction coefficient is relatively uniform we find that the linear size of plug regions grows as (time)$^{1/3}$. The suitability of the model to granular materials is discussed.

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