# Boundary streaming by internal waves

@article{Renaud2018BoundarySB, title={Boundary streaming by internal waves}, author={Antoine Renaud and Antoine Venaille}, journal={Journal of Fluid Mechanics}, year={2018}, volume={858}, pages={71 - 90} }

Damped internal wave beams in stratified fluids have long been known to generate strong mean flows through a mechanism analogous to acoustic streaming. While the role of viscous boundary layers in acoustic streaming has been thoroughly addressed, it remains largely unexplored in the case of internal waves. Here we compute the mean flow generated close to an undulating wall that emits internal waves in a viscous, linearly stratified two-dimensional Boussinesq fluid. Using a quasi-linear approach…

## 7 Citations

### Damping of quasi-two-dimensional internal wave attractors by rigid-wall friction

- PhysicsJournal of Fluid Mechanics
- 2018

The reflection of internal gravity waves at sloping boundaries leads to focusing or defocusing. In closed domains, focusing typically dominates and projects the wave energy onto ‘wave attractors’.…

### Particle transport induced by internal wave beam streaming in lateral boundary layers

- Environmental ScienceJournal of Fluid Mechanics
- 2019

Quantifying the physical mechanisms responsible for the transport of sediments, nutrients and pollutants in the abyssal sea is a long-standing problem, with internal waves regularly invoked as the…

### Conventional Partial and Complete Solutions of the Fundamental Equations of Fluid Mechanics in the Problem of Periodic Internal Waves with Accompanying Ligaments Generation

- Physics
- 2021

The problem of generating beams of periodic internal waves in a viscous, exponentially stratified fluid by a band oscillating along an inclined plane is considered by the methods of the theory of…

### On the Holton–Lindzen–Plumb model for mean flow reversals in stratified fluids

- PhysicsQuarterly Journal of the Royal Meteorological Society
- 2020

The Holton–Lindzen–Plumb (HLP) model describes the spontaneous emergence of mean flow reversals in stratified fluids. It has played a central role in understanding the Quasi‐Biennial Oscillation of…

### Near-field internal wave beams in two dimensions

- Physics, EngineeringJournal of Fluid Mechanics
- 2020

Abstract A new theory is presented for the generation of two-dimensional internal wave beams, including the effects of viscosity and unsteadiness on the propagation of the waves, and extending to the…

### Energy budget in internal wave attractor experiments

- Physics, Environmental ScienceJournal of Fluid Mechanics
- 2019

The current paper presents an experimental study of the energy budget of a two-dimensional internal wave attractor in a trapezoidal domain filled with uniformly stratified fluid. The injected energy…

## References

SHOWING 1-10 OF 41 REFERENCES

### Damping of 3D internal wave attractors by lateral walls

- Physics
- 2016

The reflection of internal gravity waves at sloping boundaries leads to focusing or defo- cusing. In closed domains, focusing dominates and projects the wave energy onto ’wave attractors’. Previous…

### The viscous lee wave problem and its implications for ocean modelling

- Environmental Science
- 2017

### Boundary streaming with Navier boundary condition.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

The classical problem of steady acoustic streaming over a flat boundary is revisited, replacing the no-slip boundary condition with the Navier condition, and a general expression is obtained for the streaming velocity across the boundary layer as a function of the dimensionless parameter L s/δ.

### On three-dimensional internal gravity wave beams and induced large-scale mean flows

- PhysicsJournal of Fluid Mechanics
- 2015

The three-dimensional propagation of internal gravity wave beams in a uniformly stratified Boussinesq fluid is discussed, assuming that variations in the along-beam and transverse directions are of…

### Energy Exchanges between Density Fronts and Near-Inertial Waves Reflecting off the Ocean Surface

- Physics, Environmental Science
- 2016

AbstractInertial waves propagating upward in a geostrophically balanced front experience critical reflections against the ocean surface. Such reflections naturally create oscillations with small…

### Experimental observation of a strong mean flow induced by internal gravity waves

- Physics
- 2012

We report the experimental observation of a robust horizontal mean flow induced by internal gravity waves. A wave beam is forced at the lateral boundary of a tank filled with a linearly stratified…

### Acoustic Streaming near a Boundary

- Physics
- 1958

An approximate solution is developed for sonically‐induced steady flow near a fluid‐solid interface. The result is valid, subject to stated conditions, for the flow near any portion of surface in the…

### GRAVITY WAVE – DRIVEN FLOWS IN THE SOLAR TACHOCLINE

- Physics
- 2019

We present results from time-dependent hydrodynamic calculations of the interaction between internal gravity waves and the mean radial differential rotation in the solar tachocline. Such waves are…

### The Interaction of Two Internal Waves with the Mean Flow: Implications for the Theory of the Quasi-Biennial Oscillation

- Physics, Environmental Science
- 1977

Abstract Internal waves propagating through a dissipative fluid interact with the mean flow. In response to forcing by a single wave, the mean flow evolves to a steady solution. In the presence of…

### Forcing of oceanic mean flows by dissipating internal tides

- Environmental Science, PhysicsJournal of Fluid Mechanics
- 2012

Abstract We present a theoretical and numerical study of the effective mean force exerted on an oceanic mean flow due to the presence of small-amplitude internal waves that are forced by the…