Plug flow formation and growth in da Vinci Fluids

TL;DR

This paper introduces a da Vinci fluid model for dense granular flow, highlighting how solid friction leads to plug flow formation and growth, differing from ordinary fluid dynamics.

Contribution

It presents a novel fluid model incorporating solid friction effects, explaining plug flow development in granular matter.

Findings

Plug flow regions form and grow in the model.

Solid friction causes energy dissipation distinct from ordinary fluids.

Explicit examples illustrate plug flow evolution.

Abstract

A new, da Vinci, fluid is described as a model for flow of dense granular matter. We postulate local properties of the fluid, which are generically different from ordinary fluids in that energy is dissipated by solid friction. We present the equation of flow of such a fluid and show that it gives rise to formation and growth of plug flow regions, which is characteristic of flow of granular matter. Simple explicit examples are presented to illustrate the evolution of plug flow regions.