On the velocity of turbidity currents over moderate slopes

  title={On the velocity of turbidity currents over moderate slopes},
  author={Valery Liapidevskii and Denys Dutykh},
  journal={Fluid Dynamics Research},
In the present article we consider the problem of underwater avalanches propagating over moderate slopes. The main goal of our work is to investigate the avalanche front velocity selection mechanism when it propagates downwards. In particular, we show that the front velocity does not depend univocally on the mass of sediments. This phenomenon is investigated and explained in our study. Moreover, we derive from the first principles a depth-averaged model. Then, we assume that sediments are… 

A Review of Russian Snow Avalanche Models—From Analytical Solutions to Novel 3D Models

The article is a review of mathematical models of snow avalanches that have been proposed since the middle of the 20th century and are still in use. The main attention is paid to the work of

Mixing layer and turbulent jet flow in a Hele–Shaw cell



On the modelling of shallow turbidity flows

Turbidity Currents and Their Deposits

The article surveys the current state of our understanding of turbidity currents, with an emphasis on their fluid mechanics. It highlights the significant role these currents play within the global

On a shallow water model for the simulation of turbidity currents

We present a model for hyperpycnal plumes or turbidity currents that takes into account the interaction between the turbidity current and the bottom, considering deposition and erosion effects as

Behavior of Density Currents on an Incline

Investigation of the behavior of salt solution released down a sloping surface in a tank of freshwater is reported here. Analysis indicates that the dense layer spreads in all directions at a rate

Sediment transport by waves and currents

A bed-load model, based on a generalization of Bagnold's (1954) constitutive equations together with the assumption of similarity profiles for velocity and concentration, was proposed for sediment

Axisymmetric gravity currents on a cone

The previously unstudied problem of an axisymmetric gravity current released on a cone is investigated. A formulation of the problem based on the shallow-water equations, with and without entrainment

Front dynamics and entrainment of finite circular gravity currents on an unbounded uniform slope

We report on the dynamics of circular finite-release Boussinesq gravity currents on a uniform slope. The study comprises a series of highly resolved direct numerical simulations for a range of slope

Turbulent entrainment: the development of the entrainment assumption, and its application to geophysical flows

  • J. Turner
  • Environmental Science, Physics
    Journal of Fluid Mechanics
  • 1986
The entrainment assumption, relating the inflow velocity to the local mean velocity of a turbulent flow, has been used successfully to describe natural phenomena over a wide range of scales. Its

Hydraulic Jumps in Sediment‐Driven Bottom Currents

Laboratory experiments were conducted to observe the behavior of turbidity currents in the vicinity of a slope transition. Both sediment‐laden and saline hydraulic jumps were produced. The vertical

Self-accelerating turbidity currents

Approximate layer-averaged equations describing the mechanics of turbid underflows are derived. Closure of the equations describing the balance of fluid mass, sediment mass, and mean flow momentum