Experimental mixing parameterization due to multiphase fluid–structure interactions

Ibragimov, Ranis N.; Yılmaz, Nadir; Bakhtiyarov, A. S.

doi:10.1016/j.mechrescom.2011.02.002

Cited by 9 publications

(3 citation statements)

References 21 publications

(23 reference statements)

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“…It should be noted that, even though there is no imposed magnetic field in these computations and thus no imposed anisotropy, an extension of this work could be to analyze the data in terms of anisotropic scaling with respect to a locally-defined quasi-uniform field, averaging the induction in a sphere of diameter the integral scale, as done for example in [25] (see [26] and references therein for anisotropic scaling in MHD). It is also well known that, in the atmosphere and the oceans, different spectra may emerge according to the relative strength of the stratification, the rotation and the forcing, as for example the Garrett-Munk versus Phillips spectra [27].…”

Section: Discussionmentioning

confidence: 99%

Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries

Krstulovic

Brachet²,

Pouquet

2014

Phys. Rev. E

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We examine the scaling laws of magnetohydrodynamic (MHD) turbulence for three different types of forcing functions and imposing at all times the fourfold symmetries of the Taylor-Green (TG) vortex generalized to MHD; no uniform magnetic field is present and the magnetic Prandtl number is equal to unity. We also include pumping in the induction equation, and we take the three configurations studied in the decaying case in Lee et al. [Phys. Rev. E 81, 016318 (2010)]. To that effect, we employ direct numerical simulations up to an equivalent resolution of 20483 grid points. We find that, similarly to the case when the forcing is absent, different spectral indices for the total energy spectrum emerge, corresponding to either a Kolmogorov law, an Iroshnikov-Kraichnan law that arises from the interactions of turbulent eddies and Alfvén waves, or to weak turbulence when the large-scale magnetic field is strong. We also examine the inertial range dynamics in terms of the ratios of kinetic to magnetic energy, and of the turnover time to the Alfvén time, and analyze the temporal variations of these quasiequilibria.

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Section: Discussionmentioning

confidence: 99%

Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries

Krstulovic

Brachet²,

Pouquet

2014

Phys. Rev. E

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“…The process of generation of internal waves due to tide/topography interactions associated with oscillating alongisobath currents impinging on a ridge running down a slope with an inclusion of large tidal excursion to generate harmonics has been considered in Ibragirnov [44]. The experimental work confirming some of the analytic predictions from [44] have been reported recently in [45].…”

Section: This Parameter Is a Ratio Between The Tidal Excursion Distancementioning

confidence: 83%

Mathematical Modelling Describing Effects of Corrugation Scales on Efficiency of Mixing in the Vicinity of Ocan's Deep Continental Slope

Ibragimov¹,

Lejmbach²

2017

JAMB

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Efficiency of mixing, resulting from the reflection of an oscillatory internal wave field off a continental slope is investigated using a linear approximation. The continental slope is modelled with a corrugation running down a slope. Efficiency of deep ocean mixing is associated with the energy of the flow radiating into an interior of the ocean due to interaction with the corrugated slope. The effects of the corrugation geometry and the earth's rotation on resulting energy is analyzed analytically in the vicinity of the critical values of the slope.

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“…The process of generation of internal waves due to tide/topography interactions associated with oscillating along-isobath currents impinging on a ridge running down a slope with an inclusion of large tidal excursion to generate harmonics has been considered in Ibragimov, [14]. The experimental work confirming some of the analytic predictions from [14] have been reported recently in [15].…”

Section: Introductionmentioning

confidence: 89%

Spectral Analysis of the Efficiency of Vertical Mixing in the Deep Ocean due to Interaction of Tidal Currents with a Ridge Running down a Continental Slope

Ibragimov

Tartakovsky

2014

Math. Model. Nat. Phenom.

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Efficiency of mixing, resulting from the reflection of an internal wave field imposed on the oscillatory background flow with a three-dimensional bottom topography, is investigated using a linear approximation. The radiating wave field is associated with the spectrum of the linear model, which consists of those mode numbers n and slope values α, for which the solution represents the internal waves of frequencies ω = nω0 radiating upwrad of the topography, where ω0 is the fundamental frequency at which internal waves are generated at the topography. The effects of the bottom topography and the earth's rotation on the spectrum is analyzed analytically and numerically in the vicinity of the critical slope α c n,θ = arcsin n 2 ω 2 0 − f 2 N 2 − f 2 1 2 , which is a slope with the same angle to the horizontal as the internal wave characteristic. In this notation, θ is latitude, f is the Coriolis parameter and N is the buoyancy frequency, which is assumed to be a constant, which corresponds to the uniform stratification.

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Experimental mixing parameterization due to multiphase fluid–structure interactions

Cited by 9 publications

References 21 publications

Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries

Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries

Mathematical Modelling Describing Effects of Corrugation Scales on Efficiency of Mixing in the Vicinity of Ocan's Deep Continental Slope

Spectral Analysis of the Efficiency of Vertical Mixing in the Deep Ocean due to Interaction of Tidal Currents with a Ridge Running down a Continental Slope

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