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Of all publications in the section: 18
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Article
Abrashkin A. A., Soloviev A. G. Fluid Dynamics. 2013. Vol. 48. No. 5. P. 679-686.

Plane periodic oscillations of an infinitely deep fluid are studied in the case of a nonuniform pressure distribution over its free surface. The fluid flow is governed by an exact solution of the Euler equations in the Lagrangian variables. The dynamics of an oscillating standing soliton are described, together with the scenario of the soliton evolution and the birth of a wave of an anomalously large amplitude against the background of the homogeneous Gerstner undulation (freak wave model). All the flows are nonuniformly vortical.

Added: Nov 19, 2013
Article
Пелиновский Е. Н., Didenkulova I., Rodin A. Известия РАН. Механика жидкости и газа. 2018. Т. 53. № 3. С. 402-408.

The long wave run-up on two types of slopes is investigated numerically within the framework of nonlinear shallow water theory using the CLAWPACK software. One of the slopes represents a plane slope widely used in the laboratory and numerical experiments; the second is the so-called “non-reflecting” slope (h ∼ x4/3, where h is the basin depth and x is the distance from the shoreline). In the case of very low wave amplitudes when there is no wave breaking, the run-up height is greater on the non-reflecting beach than that on the plane slope. As the wave amplitude increases, the breaking effects have the stronger impact in the case of non-reflecting beach and the run-up height becomes smaller.

Added: Oct 21, 2018
Article
Kizilova N., Logvenkov S. A., Stein A. Fluid Dynamics. 2012. Vol. 47. No. 1. P. 1-9.

The model of a growing medium consisting of two phases, liquid and solid, is developed. Growth is treated as a combination of the irreversible deformation of the solid phase and its mass increment due to mass exchange with the liquid phase. The inelastic strain rate of the solid phase depends on the stresses in it, which are determined by the forces both external with respect to the medium and exerted by the liquid phase. In the liquid phase the pressure develops due to the presence of a chemical component whose displacement is hampered by its interaction with the solid phase. The approach developed makes it possible to waive many problems discussed in the theory of growing continua. Possible generalizations are considered.

Added: Mar 6, 2013
Article
Logvenkov S. A. Fluid Dynamics. 2018. Vol. 53. No. 5. P. 583-595.

A three-phase continuum model of a biological medium formed by cells, extracellular fluid, and an additional phase responsible for independently controlled active force interaction between the cells is obtained. The model describes the reconstruction of biological tissues with account for the active stresses exerted at intercellular interactions. The constitutive relation for the active stress tensor takes into account different mechanisms of cell interactions, including the chaotic and directed cell activities as the active stresses are created, as well as the anisotropy of their development due to cell density distribution inhomogeneity. On the basis of the model, the problem of forming a cavity within an initially homogeneous cell spheroid due to the loss of stability of the homogeneous state is solved. The constitutive relation for the medium strain rate due to cell rearrangements takes into account two mechanisms of relative cell motion: related to cell adhesion and cellmotility. The participation of differentmechanisms of cell interaction in the self-organization of the biological system that consists of mechanically active cells is investigated.

Added: Oct 28, 2018
Article
Beloussov L., Logvenkov S. A., Stein A. Fluid Dynamics. 2015. Vol. 50. No. 1. P. 1-11.

A continuum model of the embryonic epithelial tissue with account for the active deformations and rearrangements of the cells is proposed. The stress tensor is represented as the sum of the stresses undergone by the cell directly and the tensor of active stresses that arise owing to contracting cellular protrusions anchored on the surface of neighboring cells and developing in response to cell reshaping (deformation). The strain rate tensor includes three components: elastic and two inelastic related to the active deformation of the cells and their rearrangement. The first of these components depends on the stresses in the cells and the reached cellular deformation level, whereas the second is determined by the active stresses. The problem of reaction of a thin sheet to a rapid stretching is solved and agreement with experimental data is obtained.

Added: Jan 25, 2015
Article
Abrashkin A. A., Bodunova Y. P. Fluid Dynamics. 2012. Vol. 47. No. 6. P. 725-734.

Standing surface waves in a viscous infinite-depth fluid are studied. The solution of the problem is obtained in the linear and quadratic approximations. The case of long, as compared with the boundary layer thickness, waves is analyzed in detail. The trajectories of fluid particles are determined and an expression for the vorticity is derived.

 

Added: Feb 25, 2014
Article
Abrashkin A. A., Bodunova Y. P. Fluid Dynamics. 2013. Vol. 48. No. 2. P. 223-231.

Within the framework of the Lagrangian approach a method for describing a wave packet on the surface of an infinitely deep, viscous fluid is developed. The case, in which the inverse Reynolds number is of the order of the wave steepness squared is analyzed. The expressions for fluid particle trajectories are determined, accurate to the third power of the steepness. The conditions, under which the packet envelope evolution is described by the nonlinear Schrödinger equation with a dissipative term linear in the amplitude, are determined. The rule, in accordance with which the term of this type can be correctly added in the evolutionary equation of an arbitrary order is formulated.

 

Added: Feb 25, 2014
Article
Абрашкин А. А., Соловьев А. Г. Известия РАН. Механика жидкости и газа. 2013. № 5. С. 125-133.
Added: Nov 19, 2013
Article
Галагуз Ю., Кузьмина Л. И., Осипов Ю. В. Известия РАН. Механика жидкости и газа. 2019. № 1. С. 86-98.

The macroscopic model of long-term deep-bed _filtration flow of a monodisperse suspension through a porous medium with size-exclusion particle-capture mechanism and without mobilization of retained particles is considered. It is assumed that the pore accessibility and the fractional particle flux depend on the deposit concentration and at the initial time the porous medium contains a nonuniformly distributed deposit. The aim of the study is to obtain the analytical solution in the neighborhood of a mobile curvilinear boundary, namely, of the suspended-particle concentration front. The sign constancy is proved for the solution. The exact solution of the filtration problem on the curvilinear front is obtained in explicit form. The sufficient condition of existence of the solution on the concentration front is obtained. An asymptotic solution is constructed in the neighborhood of the front. The time interval of applicability of the asymptotics is determined from the numerical solution.

Added: Feb 14, 2019
Article
Омельченко А. В., Усков В. Известия РАН. Механика жидкости и газа. 1998. № 3. С. 146-152.
Added: Sep 19, 2018
Article
Кизилова Н. Н., Логвенков С. А., Штейн А. А. Известия РАН. Механика жидкости и газа. 2012. Т.  . № 1. С. 3-13.

The model of a growing medium consisting of two phases, liquid and solid, is developed. Growth is treated as a combination of the irreversible deformation of the solid phase and its mass increment due to mass exchange with the liquid phase. The inelastic strain rate of the solid phase depends on the stresses in it, which are determined by the forces both external with respect to the medium and exerted by the liquid phase. In the liquid phase the pressure develops due to the presence of a chemical component whose displacement is hampered by its interaction with the solid phase. The approach developed makes it possible to waive many problems discussed in the theory of growing continua. Possible generalizations are considered.

Added: Oct 26, 2012
Article
Куркин А. А., Пелиновский Е. Н., Козелков А. С. и др. Известия РАН. Механика жидкости и газа. 2015. № 2. С. 142-150.
Added: Mar 12, 2015
Article
Омельченко А. В., Усков В., Кожемякин А. Известия РАН. Механика жидкости и газа. 1999. № 5. С. 123-131.
Added: Sep 19, 2018
Article
Абрашкин А. А., Бодунова Ю. П. Известия РАН. Механика жидкости и газа. 2012. № 6. С. 50-59.
Added: Nov 19, 2013
Article
Омельченко А. В., Усков В. Известия РАН. Механика жидкости и газа. 1995. № 6. С. 118-126.
Added: Sep 19, 2018
Article
Омельченко А. В., Усков В. Известия РАН. Механика жидкости и газа. 1996. № 4. С. 142-150.
Added: Sep 19, 2018
Article
Попов С., Диесперов В. Н., Бибик Ю. Известия РАН. Механика жидкости и газа. 2005. № 2.
Added: Jul 2, 2009
Article
Абрашкин А. А., Бодунова Ю. П. Известия РАН. Механика жидкости и газа. 2013. № 2. С. 81-89.
Added: Nov 19, 2013