da Vinci fluids,catch-up dynamics and dense granular flow |
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Authors: | R Blumenfeld S F Edwards and M Schwartz |
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Institution: | (1) School of Instrument Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China;(2) State Key Laboratory of Tribology, Tsinghua University, Beijing, 100084, China |
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Abstract: | 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 dynamic and static friction coefficients are 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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