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## Simulation of the Particle Dynamics in the Two-Dimensional Poiseuille Flow with Low Reynolds Number

Lobachevskii Journal of Mathematics. 2022. Vol. 43. No. 2. P. 381-385.

A particle moving in the Poiseuille flow in a channel experiences the influence of

the velocity gradient and the channel walls. Several effects happen with the particle – velocity

retardation, rotation, and migration transversal to the main flow direction. We simulate dynamics

of a hard particle in a narrow two-dimensional channel and estimate the variation with the channel

width of the particle velocity, frequency of rotation, and time to reach the steady state. We provide

a comparison of our results with the existing analytical calculations. Simulations were done using

the Lattice Boltzmann Method for the fluid flow and Immersed Boundary Method for the particle

movement.

Guskova M., Shchur V., Shchur L., Lobachevskii Journal of Mathematics 2020 Vol. 41 No. 6 P. 992-995

We simulate the oscillation of the viscous drop in the viscous liquid. We combine methods of chromodynamics model and Shan-Chen pseudo-potential for the immiscible fluids. We measure the frequency of the first nontrivial eigenmode using the initial ellipsoid form of the drop. Drop oscillates about the equilibrium spherical form of radius $R$. Computed frequency as ...

Added: June 2, 2020

Shchur L., Guskova M., Communications in Computer and Information Science 2021 Vol. 1131 P. 198-206

The classical problem of oscillations of liquid droplets is a good test for the applicability of computer simulation. We discuss the details of our approach to a simulation scheme based on the Boltzmann lattice equation. We show the results of modeling induced vibrations in a chain of three drops in a closed tube. In the ...

Added: February 20, 2021

Guskova M., Shchur L., Springer Publishing Company, 2021

We discuss the applicability of multiphase lattice Boltzmann method for the simulation of the drop
oscillation. We demonstrate that the simulation of the single drop excited to the first eigenmode does
follow Rayleigh formula. Simulations show no sensitivity to the number of the discrete velocities with
D3Q19 and D3Q27 representations of the distribution function in three dimensions. The ...

Added: February 19, 2021

Guskova M., Shchur L., Journal of Physics: Conference Series 2021 Vol. 1740 P. 1-6

The stability of the quasi-two-dimensional droplet flow is of great importance in microfluidic devices. We check the drop's stability in the square box using the immersed boundary and lattice Boltzmann methods. We implement two-dimensional equations within the immersed boundary approach in the Palabos programming platform. We check the influence
of the boundaries on the drop movement. ...

Added: February 19, 2021

Parfenyev V., Belan S., Lebedev V., Journal of Fluid Mechanics 2019 Vol. 862 P. 1084-1104

Stochastic roughness is a widespread feature of natural surfaces and is an inherent byproduct of most fabrication techniques. In view of the rapid development of microfluidics, the important question is how this inevitable problem affects the low-Reynolds-number flows that are common for micro-devices. Moreover, one could potentially turn the flaw into a virtue and control ...

Added: January 22, 2019

Ruderman M.., Petrukhin N., Astronomy and Astrophysics 2017 Vol. 600 No. A122 P. 1-11

The ability of phase mixing to provide eﬃcient damping of Alfvén waves even in weakly dissipative plasmas made it a popular mechanismforexplainingthesolarcoronalheating.Initiallyitwasstudiedintheequilibriumconﬁgurationswiththestraightmagnetic ﬁeldlinesandtheAlfvénspeedonlyvaryinginthedirectionperpendiculartothemagneticﬁeld.LatertheanalysisoftheAlfvénwave phase mixing was extended in various directions. In particular it was studied in two-dimensional planar magnetic plasma equilibria. Analytical investigation was carried out under the assumption that the wavelength is much smaller ...

Added: May 10, 2017

Maria Guskova, Shchur L., , in : Supercomputing Book Subtitle 7th Russian Supercomputing Days, RuSCDays 2021, Moscow, Russia, September 27–28, 2021, Revised Selected Papers Series Title Communications in Computer and Information Science. : Springer, 2021.

We simulate the drop-chain movement in the two-dimensional channel using the lattice Boltzmann method coupled with the Immersed Boundary approach. We choose the asymmetric initial state of the drop chain to generate drop oscillations and calculate the wave spectrum. The numerical results coincide qualitatively with the experimental results obtained in the quasi-two-dimensional microfluidic device. ...

Added: May 31, 2022

Ziganurova L., Shchur L., Lobachevskii Journal of Mathematics 2022 Vol. 43 No. 2 P. 513-518

The Lattice Boltzmann method (LBM) is the alternative approach for hydrodynamic
equation solving. Two factors make it a favorite approach nowadays. Firstly, the attractive feature
of LBM is that it is intrinsic for parallel simulations due to the linear structure of the algorithm.
Secondly, what makes LBM special for the research, it is well applicable to the simulations ...

Added: May 25, 2022

Zagvozdina K., Burovski E., Journal of Physics: Conference Series 2021 Vol. 1740 P. 1-6

Lattice Boltzmann method is a mesoscopic method used for solving hydrodynamics problems of both incompressible and compressible fluids. Although the method is widely used, reliability of the results is unclear. Therefore, we use the method to solve a fundamental problem with a known analytical solution, the Couette flow. We estimate the accuracy of the simulation ...

Added: January 22, 2021

Букатин А. С., Mukhin M., Мухин И. С., СПб. : Издательско-полиграфическая ассоциация высших учебных заведений, 2021

В настоящее время активно развивается направление разработки и соз- дания портативных устройств экспресс-анализа биологических проб для биомедицинской диагностики и экологического мониторинга. Во многих из них используются разнообразные микрофлюидные устройства и тех- нологии, обеспечивающие возможность уникальных исследований, в том числе на уровне единичных клеток и молекул. Разработка и создание микрофлюидных устройств является достаточно сложной задачей, требующей ...

Added: October 29, 2021

Guskova M., Shchur L., , in : Smart Modelling for Engineering Systems: Proceedings of the International Conference on Computational Methods in Continuum Mechanics (CMCM 2021). Vol. 2.: Springer Publishing Company, 2021. Ch. 21. P. 275-282.

Added: December 18, 2021

А. Черкун, Квант 2020 № 3 С. 26-31

В популярной статье рассказывается, что в величине реактивной силы F вытекающей струи можно выделить целые три конструктивные компоненты, объясняющие коэффициент 2 в формуле F=2PS, где S - площадь струи, P - гидростатическое давление. Хотя вопрос известен социуму более 250 лет, современные авторы учебников допускают ошибки в рисунках течения. Содержится ещё ряд малоизвестных сведений о хорошо знакомом в быту истечении воды через ...

Added: October 17, 2022

Filatov S. V., Parfenyev V.M., Vergeles S.S. et al., Physical Review Letters 2016 Vol. 116 No. 5 P. 054501-1-054501-5

We demonstrate that waves excited on a fluid surface produce local surface rotation owing to hydrodynamic nonlinearity. We examine theoretically the effect and obtain an explicit formula for the vertical vorticity in terms of the surface elevation. Our theoretical predictions are confirmed by measurements of surface motion in a cell with water where surface waves ...

Added: March 13, 2017

Guskova M., Shchur L., , in : Communications in Computer and Information Science. Vol. Analysis of Images, Social Networks, and Texts. Forth Conference.: Springer, 2015. P. 992-995.

The classical problem of oscillations of liquid droplets is a good test for the applicability of computer simulation. We discuss the details of our approach to a simulation scheme based on the Boltzmann lattice equation. We show the results of modeling induced vibrations in a chain of three drops in a closed tube. In the ...

Added: December 11, 2020

Lukin V. V., Malanchev K. L., Shakura N. I. et al., Monthly Notices of the Royal Astronomical Society 2017 Vol. 467 No. 3 P. 2934-2942

We present the results of 3D-hydrodynamical simulations of accretion flow in the eclipsing dwarf nova V1239 Her in quiescence. The model includes the optical star filling its Roche lobe, a gas stream emanating from the inner Lagrangian point of the binary system, and the accretion disc structure. A cold hydrogen gas stream is initially emitted ...

Added: October 25, 2017

Nagaev K., Маношин А. А., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 102 Article 155411

We calculate the electrical and thermal conductivity of a two-dimensional electron gas with strong spin-orbit
coupling in which the scattering is dominated by electron-electron collisions. Despite the apparent absence of
Galilean invariance in the system, the two-particle scattering does not affect the electrical conductivity above
the band-crossing point where both helicity bands are filled. Below the band-crossing point ...

Added: October 14, 2021

Alfimov M., Litvinov A., Journal of High Energy Physics 2022 No. 01 Article 43

We study regularization scheme dependence of beta-function for sigma models with two-dimensional target space. Working within four-loop approximation, we conjecture the scheme in which the beta-function retains only two tensor structures up to certain terms containing zeta_3. Using this scheme, we provide explicit solutions to RG flow equation corresponding to Yang-Baxter- and lambda-deformed SU(2)/U(1) sigma ...

Added: February 1, 2022

M.Yu. Kagan, JETP Letters 2016 Vol. 103 No. 11 P. 728-738

In this short review, we first discuss the results, which are mainly devoted to the generalizations of the famous Kohn–Luttinger mechanism of superconductivity in purely repulsive fermion systems at low electron densities. In the context of repulsive-U Hubbard model and Shubin–Vonsovsky model we consider briefly the superconducting phase diagrams and the symmetries of the order parameter ...

Added: November 18, 2016

Katushkina O. A., Quemerais E., Izmodenov V.V. et al., JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS 2017 Vol. 122 No. 11 P. 10921-10937

In this work, we present for the first time the Lyman α intensities measured by Voyager 1/UVS in 2003–2014 (at 90–130 AU from the Sun). During this period Voyager 1 measured the Lyman α emission in the outer heliosphere at an almost fixed direction close to the upwind (i.e.“ toward the interstellar flow). The data show an unexpected behavior in 2003–2009: the ...

Added: January 26, 2018

Panina I., Balandin S., Tsarev A. et al., International Journal of Molecular Sciences 2023 Vol. 24 No. 2 P. 1

To date, a number of lantibiotics have been shown to use lipid II — a highly conserved peptidoglycan precursor in the cytoplasmic membrane of bacteria — as their molecular target. The α-component (Lchα) of the two-component lantibiotic lichenicidin (Lchα), previously isolated from the Bacillus licheniformis VK21 strain, seems to contain two putative lipid II binding ...

Added: February 21, 2023

Ружицкая Д. Д., САМОЙЛЕНКО А. А., Иванов А. Д. et al., Optoelectronics, Instrumentation and Data Processing 2017 Vol. 54 No. 1 P. 1-8

This paper presents an algorithm for processing the transmission spectra of whisperinggallery optical microcavities for use as a nanoparticle detector. The algorithm is based on the broadening of the microcavity resonance curve during precipitation of nanoparticles on the microcavity surface. Experimental results on the detection of particles are compared with Langmuir adsorption theory. The contribution ...

Added: May 25, 2018

Terekhovich V., Эпистемология и философия науки 2019 Т. 56 № 1 С. 169-184

The framework of simple opposition realism - anti-realism is not enough to analyze the views on the reality of unobservable objects of quantum theory. First, it is necessary to distinguish between realism in relation to the theory and realism in relation to the theory’s objects. Secondly, realism in relation to classical objects can be combined, ...

Added: February 12, 2020

Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18

Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...

Added: November 16, 2020

M. : Faculty of Physics, MSU, 2017

The Low Temperature Physics Conference is an international event held every three years, under the auspices of the IUPAP through its Commission C5 on Low Temperature Physics. The aim of these conferences is to exchange information and views among the members of the international scientific community in the general field of Low Temperature Physics. It ...

Added: October 1, 2017