Wave-vortex interaction

Falcón, Claudio; Fauve, S.

doi:10.1103/physreve.80.056213

Cited by 6 publications

(14 citation statements)

References 27 publications

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“…In this paper, we will show that the Hubble law derivates from the MoND theory proposed by Falcón (2013) in a natural way through the corresponding condition of cosmological scales. To this end, in section 2 we will review the paper of Falcón emphasizing the repulsive behavior of the non-local gravitational field at large scales, giving a starting point for deducting the Hubble law.…”

Section: Introductionmentioning

confidence: 83%

“…In this sense, one possibility to solve both problems: dark matter and dark energy, is the non-local gravitation recently proposed by Falcón (2013), which basically is a MoND theory. According to which the force of gravitation would be the result of two fields generated by the ordinary baryonic matter, a first term as Newton law of inverse square, and an addicional long-range term.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Deduction of the Hubble Law Beginning with a MoND Theory in Context of the ΛFRW-Cosmology

Falcón¹,

Aguirre²

2014

IJAA

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We deducted the Hubble law and the age of the Universe, through the introduction of the Inverse Yukawa Field (IYF), as a non-local additive complement of the Newtonian gravitation (Modified Newtonian Dynamics). As result we connected the dynamics of astronomical objects at great scale with the Friedmann-Robertson-Walker (ΛFRW) model. From the corresponding formalism, the Hubble law can be expressed as v = (4π[G]/c)r, which was derivated by evaluating the IYF force at distances much greater than 50Mpc, giving a maximum value for the expansion rate of the universe of H (máx) 0 86, 31km s −1 Mpc −1 , consistent with the observational data of 392 astronomical objects from NASA/IPAC Extragalactic Database (NED). This additional field (IYF) provides a simple interpretation of dark energy as the action a large scale of baryonic matter. Additionally, we calculated the age of the universe as 11Gyr, in agreement with recent measurements of the age of the white dwarfs in the solar neighborhood.

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Section: Introductionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Theoretical Deduction of the Hubble Law Beginning with a MoND Theory in Context of the ΛFRW-Cosmology

Falcón¹,

Aguirre²

2014

IJAA

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“…Later, Sommeria [28] applied a strong uniform magnetic field and space-dependent distribution of current to generate an almost 2D flow and to study the transition between large-scale structures. Since then, the technique has become a common tool to study 2D turbulence [30,31], instabilities [32][33][34], chaotic mixing in 2D flows [35] and wave-vortex interaction [36,37]. We adopted a similar forcing.…”

Section: Setup and Methodsmentioning

confidence: 99%

Clustering of floaters on the free surface of a turbulent flow: An experimental study

Gutiérrez

Aumaître

2016

European Journal of Mechanics - B/Fluids

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We present an experimental study of the statistical properties of millimeter-size spheres floating on the surface of a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. By using two magnet arrays, we are able to create one highly fluctuating flow and another, more stationary flow. In both cases, we follow the motion of hundreds of particles floating at the deformed interface of the liquid metal. We evidence the clustering of floaters by a statistical study of the local concentration of particles. Some dynamical properties of clusters are exposed. We perform spatial correlations between particle concentration and hydrodynamical quantities linked with inertial effects; with vortical motion, and with horizontal divergence (corresponding to compressibility in the surface). From comparing these correlations, we propose the so-called surface compressibility as the main clustering mechanism in our system. Hence, although floaters are not passive scalar and move on a deformed surface, the scenario is similar to the one reported for passive scalar on an almost flat free surface of a turbulent flow.

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“…Our experimental device combines the electromagnetic driving used in [17] to stir the flow and progressive waves generated by a paddle. By the use of a liquid alloy, Gallinstan [21], a strong Electromagnetic Driven Flow (EMDF) can be supplied.…”

Section: Introductionmentioning

confidence: 99%

Surface waves propagating on a turbulent flow

Gutiérrez

Aumaître

2016

Physics of Fluids

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Artículo de publicación ISISin acceso a texto completoWe study the propagation of monochromatic surface waves on a turbulent flow of liquid metal, when the waves are much less energetic than the background flow. Electromagnetic forcing drives quasitwo- dimensional turbulence with strong vertical vorticity. To isolate the surface-wave field, we remove the surface deformation induced by the background turbulent flow using coherent-phase averaging at the wave frequency. We observe a significant increase in wavelength, when the latter is smaller than the forcing length scale. This phenomenon has not been reported before and can be explained by multiple random wave deflections induced by the turbulent velocity gradients. The shift in wavelength thus provides an estimate of the fluctuations in deflection angle. Local measurements of the wave frequency far from the wavemaker do not reveal such systematic behavior, although a small shift is visible. Finally, we quantify the damping enhancement induced by the turbulent flow and compare it to the existing theoretical predictions. Most of them suggest that the damping increases as the square of the Froude number, whereas our experimental data show a linear increase with the Froude number. We interpret this linear relationship as a balance between the time for a wave to cross a turbulent structure and the turbulent mixing time. The larger the ratio of these two times, the more energy is extracted from the wave. We conclude with possible mechanisms for energy exchange.CONICYT/FONDECYT postdoctorado 314055

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Wave-vortex interaction

Cited by 6 publications

References 27 publications

Theoretical Deduction of the Hubble Law Beginning with a MoND Theory in Context of the ΛFRW-Cosmology

Theoretical Deduction of the Hubble Law Beginning with a MoND Theory in Context of the ΛFRW-Cosmology

Clustering of floaters on the free surface of a turbulent flow: An experimental study

Surface waves propagating on a turbulent flow

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