Modelling of Evolution Small-Scale Magnetohydrodynamic Turbulence Depending on the Magnetic Viscosity of the Environment

Abdibekova, Aigerim; Zhumagulov, Bakhytzhan; Zhakebayev, Dauren

doi:10.1007/978-3-319-25058-8_2

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…–, the splitting scheme for physical parameters is applied . At the first stage, the transfer of momentum is carried out only through convection and diffusion , :

true \frac{boldu *^{normaln} - {boldu}^{normaln}}{t} = - \frac{1}{2} (3 H^{n} - H^{n - 1}) + \frac{1}{2} Δ (u *^{n} + u^{n}) + (R a_{1} τ_{11} c_{1} + R a_{2} c_{2}) boldγ

true H^{normaln} = - \nabla {(boldu \cdot boldu)}^{normaln}

…”

Section: Equations Of Perturbations In Ternary Diffusion – Numerical mentioning

confidence: 99%

Features of Multicomponent Mass Transfer in Gas Mixtures Containing Hydrocarbon Components

2019

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The features characterizing the transition from a diffusion process to the concentration gravitational convection in multicomponent gas mixtures containing hydrocarbon components are analyzed. It is demonstrated that this transition is possible due to the difference in interdiffusion coefficients of components, initial concentration of components, and the pressure of the experiment. A mathematical model for describing the transition from the diffusion process to the concentration gravitational convection in multicomponent gas mixtures is considered. The key feature indicating the transfer from the diffusion regime to the convective one is the curvature of an isoline of the heavy component of the gas mixture.

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“…–, the splitting scheme for physical parameters is applied . At the first stage, the transfer of momentum is carried out only through convection and diffusion , :

true \frac{boldu *^{normaln} - {boldu}^{normaln}}{t} = - \frac{1}{2} (3 H^{n} - H^{n - 1}) + \frac{1}{2} Δ (u *^{n} + u^{n}) + (R a_{1} τ_{11} c_{1} + R a_{2} c_{2}) boldγ

true H^{normaln} = - \nabla {(boldu \cdot boldu)}^{normaln}

…”

Section: Equations Of Perturbations In Ternary Diffusion – Numerical mentioning

confidence: 99%

Features of Multicomponent Mass Transfer in Gas Mixtures Containing Hydrocarbon Components

2019

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“…The intermediate velocity field is determined in terms of the fivepoint sweep method specified by Navon [9] with the fourth order of accuracy in space and the third order of accuracy in time by means of the Adams-Bashforth explicit scheme for convective terms and the Crank-Nicolson implicit scheme for diffusion members defined by Kim and Moin [10]. In the second stage, the pressure field is defined in accordance with the found intermediate velocity field and by means of the matrix sweep method described by Abdibekova et al [11]. At the third stage, it is assumed that the transfer is carried out only by the pressure gradient and the final velocity field is recalculated.…”

Section: Numerical Algorithmmentioning

confidence: 99%

Experimental and numerical study of the peculiarities of the multicomponent gas mixtures separation under natural gravity convection

Kossov

Krasikov

Fedorenko

et al. 2017

J. Phys.: Conf. Ser.

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Experimental and numerical study of the peculiarities of the multicomponent gas mixtures separation under natural gravity convection IntroductionThe description of isothermal diffusion in multicomponent mixtures is described by the StefanMaxwell equations [1] and, in comparison with binary systems, has a number of features [2], which consist in the absence of component transfer at a nonzero concentration gradient; transferring a component with the zero value of its gradient; bidirectional (reverse) diffusion. Another manifestation of special modes of multicomponent diffusion is the appearance of convection leading to a synergistic effect associated with a significant increase in the mixing speed of the components of the system [3]. Experiments and numerical studies on the vapor diffusion of binary solutions into an inert gas [3,4] have shown the possibility of the occurrence of convective instability in such systems. The effects described in [3,4] are consistent with the results given in [5,6] in which the appearance of structured convective currents is considered when changing the "diffusion-convection" regimes at different pressures and compositions.In this paper, experimental data on the study of isothermal diffusion and convective mixing in multicomponent gas mixtures 0.6179 H2 + 0.3821 N2 -CH4, 0.7760 CH4 + 0.2240 R12 -n-C4H10 are presented. By the methods of 2D modeling, the possibility of the appearance of structured convective flows in the course of diffusion at various mixing times is studied numerically.

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Modelling of Evolution Small-Scale Magnetohydrodynamic Turbulence Depending on the Magnetic Viscosity of the Environment

Cited by 2 publications

References 12 publications

Features of Multicomponent Mass Transfer in Gas Mixtures Containing Hydrocarbon Components

Features of Multicomponent Mass Transfer in Gas Mixtures Containing Hydrocarbon Components

Experimental and numerical study of the peculiarities of the multicomponent gas mixtures separation under natural gravity convection

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