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The effect of water on granular liquid flows: from debris to mud flows

O. Coquand

Abstract

In this work, we show how the rheology of granular suspensions can be related to the properties of the fluctuations of the velocity field inside the medium. In particular, effective Navier-Stokes equations in the different flow regimes are constructed and compared to an actual geophysical model that was so far purely phenomenological. Then, it is shown that a direct cascade of kinetic energy is present when the flow becomes turbulent, but with a scaling law that is quantitatively very different from that of usual Newtonian fluids.

The effect of water on granular liquid flows: from debris to mud flows

Abstract

In this work, we show how the rheology of granular suspensions can be related to the properties of the fluctuations of the velocity field inside the medium. In particular, effective Navier-Stokes equations in the different flow regimes are constructed and compared to an actual geophysical model that was so far purely phenomenological. Then, it is shown that a direct cascade of kinetic energy is present when the flow becomes turbulent, but with a scaling law that is quantitatively very different from that of usual Newtonian fluids.
Paper Structure (12 sections, 19 equations)

This paper contains 12 sections, 19 equations.

Table of Contents

  1. Introduction
  2. Flowing properties of granular liquids
  3. Rheology of dry granular liquids
  4. The case of granular suspensions
  5. The effective Navier-Stokes equation
  6. The viscosity tensor in the GITT model
  7. From GITT to an effective Navier-Stokes equation
  8. Application: models of geophysical flows
  9. Energy repartition in granular suspensions
  10. Effective Navier-Stokes equation
  11. The energy cascade picture
  12. Conclusion