[Text] : статья / V.B. Bekezhanova // Journal of Applied Mechanics and Technical Physics. - 2011. - Vol. 52, Iss. 1. - p. 74-81DOI 10.1134/S0021894411010111
. -
Аннотация: An exact solution is obtained for the problem of steady flow in a system of two horizontal layers of immiscible fluids with a common interface. The stability of the flow is studied by a linearization method. It is shown that the occurrence of instabilities is due to the different governing parameters of the fluids (thickness, heating conditions, viscous and thermal conductivity of the fluids). It is found that under constant gravity conditions, the perturbations are monotonic, and in zero gravity, oscillatory thermocapillary instability occurs.
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Доп.точки доступа:
Бекежанова, Виктория Бахытовна
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Convective instability of Marangoni-Poiseuille flow under a longitudinal temperature gradient
Stability of non-isothermal fluids (Review)
/ V.K. Andreev, V.B. Bekezhanova // J. Appl. Mech. Tech. Phys. - 2013. - Vol. 54, Is. 2. - P171-184, DOI 10.1134/S0021894413020016. - Cited References: 157. - This work was supported by Russian Foundation for Basic Research (Grant No. 11-01-00283) and the Integration Project of SB RAS No. 38.
. - 14. - ISSN 0021-8944
РУБ Mechanics + Physics, Applied
Аннотация: This paper gives a review of studies of flow stability for viscous heat-conducting fluids.
Доп.точки доступа:
Andreev, V.K.; Андреев, Виктор Константинович; Bekezhanova, V.B.; Бекежанова, Виктория Бахытовна
Рубрики:
THIN LIQUID-FILMS
LONGITUDINAL TEMPERATURE-GRADIENT
MARANGONI-POISEUILLE FLOW
LONG-WAVE INSTABILITIES
HORIZONTAL SHEAR-FLOW
HEATED FALLING FILMS
MIXED CONVECTION
ROTATING CONVECTION
PATTERN SELECTION
MAGNETIC-FIELD
Кл.слова (ненормированные):
stability -- non-isothermal fluid -- convective flows
THIN LIQUID-FILMS
LONGITUDINAL TEMPERATURE-GRADIENT
MARANGONI-POISEUILLE FLOW
LONG-WAVE INSTABILITIES
HORIZONTAL SHEAR-FLOW
HEATED FALLING FILMS
MIXED CONVECTION
ROTATING CONVECTION
PATTERN SELECTION
MAGNETIC-FIELD
Кл.слова (ненормированные):
stability -- non-isothermal fluid -- convective flows
Аннотация: This paper gives a review of studies of flow stability for viscous heat-conducting fluids.
Доп.точки доступа:
Andreev, V.K.; Андреев, Виктор Константинович; Bekezhanova, V.B.; Бекежанова, Виктория Бахытовна
The extended Graetz problem with specified heat flux for multicomponent fluids with Soret and Dufour effects
/ I. I. Ryzhkov // International Journal of Heat and Mass Transfer. - 2013. - Vol. 66. - pp. 461-471, DOI 10.1016/j.ijheatmasstransfer.2013.07.044
. - ISSN 0017-9310
Кл.слова (ненормированные):
Circular pipe -- Graetz problem -- Multicomponent fluid -- Nanofluid -- Soret and Dufour effects
Аннотация: A simple and efficient method for solving the extended Graetz problem with specified heat flux in a circular pipe for a multicomponent fluid with Soret and Dufour effects is proposed. With a help of linear transformation of temperature and concentrations, the mass transfer equation and boundary conditions for each component are reduced to the form, which is completely identical to the thermal Graetz problem. The case when only the Soret effect is relevant is studied separately. It is shown that the above-described reduction fails when thermal and solutal Peclet numbers are equal. An alternative method of solution is proposed in this case. Examples of heat and mass transfer in a circular pipe for low Peclet numbers in a model fluid and for high Peclet numbers in the water-alumina nanofluid are considered. The proposed method can be extended to a parallel plate channel as well as annular region between cylindrical pipes with specified heat flux. However, the method cannot be applied to problems, where the temperature is specified on the impermeable pipe wall. В© 2013 Elsevier Ltd. All rights reserved.
Scopus
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич
Кл.слова (ненормированные):
Circular pipe -- Graetz problem -- Multicomponent fluid -- Nanofluid -- Soret and Dufour effects
Аннотация: A simple and efficient method for solving the extended Graetz problem with specified heat flux in a circular pipe for a multicomponent fluid with Soret and Dufour effects is proposed. With a help of linear transformation of temperature and concentrations, the mass transfer equation and boundary conditions for each component are reduced to the form, which is completely identical to the thermal Graetz problem. The case when only the Soret effect is relevant is studied separately. It is shown that the above-described reduction fails when thermal and solutal Peclet numbers are equal. An alternative method of solution is proposed in this case. Examples of heat and mass transfer in a circular pipe for low Peclet numbers in a model fluid and for high Peclet numbers in the water-alumina nanofluid are considered. The proposed method can be extended to a parallel plate channel as well as annular region between cylindrical pipes with specified heat flux. However, the method cannot be applied to problems, where the temperature is specified on the impermeable pipe wall. В© 2013 Elsevier Ltd. All rights reserved.
Scopus
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич
Joint unidirectional motion of two viscous heat-conducting fluids in a tube
[Text] / V.K. Andreev // J. Appl. Mech. Tech. Phys. - 2010. - Vol. 51, Is. 4. - pp. 497-509, DOI 10.1007/s10808-010-0066-2. - Cited References: 6. - This work was supported by the Russian Foundation for Basic Research (Grant No. 08-01-00762) and Interdisciplinary Integration Project of the Siberian Division of the Russian Academy of Science No. 65.
. - ISSN 0021-8944
РУБ Mechanics + Physics, Applied
Аннотация: This paper studies an invariant solution of the problem of joint motion of two heat-conducting viscous immiscible fluids which have a common interface in a cylindrical tube under an unsteady pressure gradient. The problem reduces to a coupled initial-boundary-value problem for parabolic equations. A priori estimates of velocity and temperature perturbations are obtained. The steady state of the system is determined, and it is proved that if, in one of the fluids, the pressure gradient rapidly approaches zero, the perturbations of all quantities tend to zero. It is shown that if the pressure gradient has a nonzero limit, the solution reaches a steady state. In this case, the velocity field in the limit is the same as in conjugate Poiseuille flow, and the temperature is represented as a polynomial of the fourth order on the radial coordinate.
Доп.точки доступа:
Андреев, Виктор Константинович
Аннотация: This paper studies an invariant solution of the problem of joint motion of two heat-conducting viscous immiscible fluids which have a common interface in a cylindrical tube under an unsteady pressure gradient. The problem reduces to a coupled initial-boundary-value problem for parabolic equations. A priori estimates of velocity and temperature perturbations are obtained. The steady state of the system is determined, and it is proved that if, in one of the fluids, the pressure gradient rapidly approaches zero, the perturbations of all quantities tend to zero. It is shown that if the pressure gradient has a nonzero limit, the solution reaches a steady state. In this case, the velocity field in the limit is the same as in conjugate Poiseuille flow, and the temperature is represented as a polynomial of the fourth order on the radial coordinate.
Доп.точки доступа:
Андреев, Виктор Константинович
Effects of vibrations on dynamics of miscible liquids
[Text] / Y. Gaponenko, V. Shevtsova // Acta Astronaut. - 2010. - Vol. 66, Is. 01.02.2013. - pp. 174-182, DOI 10.1016/j.actaastro.2009.05.019. - Cited References: 10
. - ISSN 0094-5765
РУБ Engineering, Aerospace
Аннотация: We report on a numerical study of the mixing of two miscible fluids in gravitationally stable configuration. In the absence of external forces the diffusion process leads to the mixing of species. The aim of this study is to analyze the physical mechanism by which vibrations affect the mixing characteristic of two stratified miscible fluids. The translational periodic vibrations of a rigid cell filled with different mixtures of water-isopropanol are imposed. The vibrations with a constant frequency and amplitude are directed along the interface. In absence of gravity vibration-induced mass transport is incomparably faster than in diffusion regime. Our results highlight the strong interplay between gravity and vibrational impact, the relative weight of each effect is determined by ratio vibrational and classical Rayleigh numbers. (C) 2009 Elsevier Ltd. All rights reserved.
Доп.точки доступа:
Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Shevtsova, V.
Аннотация: We report on a numerical study of the mixing of two miscible fluids in gravitationally stable configuration. In the absence of external forces the diffusion process leads to the mixing of species. The aim of this study is to analyze the physical mechanism by which vibrations affect the mixing characteristic of two stratified miscible fluids. The translational periodic vibrations of a rigid cell filled with different mixtures of water-isopropanol are imposed. The vibrations with a constant frequency and amplitude are directed along the interface. In absence of gravity vibration-induced mass transport is incomparably faster than in diffusion regime. Our results highlight the strong interplay between gravity and vibrational impact, the relative weight of each effect is determined by ratio vibrational and classical Rayleigh numbers. (C) 2009 Elsevier Ltd. All rights reserved.
Доп.точки доступа:
Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Shevtsova, V.
Evolution of the joint motion of two viscous heat-conducting fluids in a plane layer under the action of an unsteady pressure gradient
[Text] / V. K. Andreev // J. Appl. Mech. Tech. Phys. - 2008. - Vol. 49, Is. 4. - P598-609, DOI 10.1007/s10808-008-0077-4. - Cited References: 4
. - ISSN 0021-8944
РУБ Mechanics + Physics, Applied
Аннотация: A study is made of an invariant solution of the equations of a, viscous heat-conducting fluid; which is treated as unidirectional motion of two such fluids in a plane layer with a common boundary under the action of an unsteady pressure gradient. A priori estimates of the velocity and temperature are obtained. The steady state is determined; and it is shown (under some conditions on the pressure gradient) that, at larger times, this state is the limiting one. For semiinfinite layers; a solution in closed form is obtained using the Laplace transform.
Полный текст на сайте издательства
Доп.точки доступа:
Андреев, Виктор Константинович
Аннотация: A study is made of an invariant solution of the equations of a, viscous heat-conducting fluid; which is treated as unidirectional motion of two such fluids in a plane layer with a common boundary under the action of an unsteady pressure gradient. A priori estimates of the velocity and temperature are obtained. The steady state is determined; and it is shown (under some conditions on the pressure gradient) that, at larger times, this state is the limiting one. For semiinfinite layers; a solution in closed form is obtained using the Laplace transform.
Полный текст на сайте издательства
Доп.точки доступа:
Андреев, Виктор Константинович
On an Adjoint Initial-Boundary Value Problem
[Text] / V. K. Andreev // Differ. Equ. - 2008. - Vol. 44, Is. 12. - P1730-1736, DOI 10.1134/S0012266108120094. - Cited References: 5. - The research was financially supported by Integration Project no. 2.15 of the Siberian Branch of the Russian Academy of Sciences and by the 'Program for the Support of Leading Scientific Schools of the Russian Federation (project no. NSh-587.3.2006.1).
. - ISSN 0012-2661
РУБ Mathematics
Аннотация: We study an adjoint initial-boundary value problem for linear parabolic equations; which arises when modeling the unidirectional motion of two viscous fluids with a common interface under the action of a pressure gradient. Under some conditions on the pressure gradient, we obtain a priori estimates and show that the solution enters a stationary mode. For semi-bounded layers, we find the solution in closed form and indicate the case of a self-similar solution. We determine the volume flow rates in the layers.
Полный текст на сайте издательства
Доп.точки доступа:
Андреев, Виктор Константинович
Аннотация: We study an adjoint initial-boundary value problem for linear parabolic equations; which arises when modeling the unidirectional motion of two viscous fluids with a common interface under the action of a pressure gradient. Under some conditions on the pressure gradient, we obtain a priori estimates and show that the solution enters a stationary mode. For semi-bounded layers, we find the solution in closed form and indicate the case of a self-similar solution. We determine the volume flow rates in the layers.
Полный текст на сайте издательства
Доп.точки доступа:
Андреев, Виктор Константинович
Mixing Under Vibrations in Reduced Gravity
[Text] : статья / Y. A. Gaponenko, V. Shevtsova // Microgravity Science and Technology. - 2008. - Vol. 20, Iss. 3-4 . - p. 307-311, DOI 10.1007/s12217-008-9075-7
. - ISSN 0938-0108
Аннотация: The aim of this study is to analyze the physical mechanism by which vibrations affect the mixing characteristic of two initially stratified miscible fluids. The translational periodic vibrations of a rigid cell filled with different mixtures (Sc = 7125) are considered. The vibrations with a constant frequency are imposed parallel to the initially planar interface. The ability of the applied vibrations to enhance the flow is examined. At the early stage after imposing the vibrations the Kelvin-Helmholtz instability is observed in absence and at low level of gravity. Later in time the system undergoes a transition to Rayleigh-Taylor instability. With increasing of gravity level the life-time of Kelvin-Helmholtz instability is decreased. We found the critical value of Gr above which this instability do not developed.
Полный текст на сайте журнала
Доп.точки доступа:
Shevtsova, V.; Гапоненко, Юрий Анатольевич
Аннотация: The aim of this study is to analyze the physical mechanism by which vibrations affect the mixing characteristic of two initially stratified miscible fluids. The translational periodic vibrations of a rigid cell filled with different mixtures (Sc = 7125) are considered. The vibrations with a constant frequency are imposed parallel to the initially planar interface. The ability of the applied vibrations to enhance the flow is examined. At the early stage after imposing the vibrations the Kelvin-Helmholtz instability is observed in absence and at low level of gravity. Later in time the system undergoes a transition to Rayleigh-Taylor instability. With increasing of gravity level the life-time of Kelvin-Helmholtz instability is decreased. We found the critical value of Gr above which this instability do not developed.
Полный текст на сайте журнала
Доп.точки доступа:
Shevtsova, V.; Гапоненко, Юрий Анатольевич
On the cross-diffusion and soret effect in multicomponent mixtures
/ I. I. Ryzhkov, V. M. Shevtsova // Microgravity Science and Technology. - 2009. - Vol. 21, Is. 1-2. - P37-40, DOI 10.1007/s12217-008-9081-9
. - ISSN 0938-0108
Кл.слова (ненормированные):
Cross-diffusion -- Linear stability -- Multicomponent mixture -- Soret effect -- Mixtures -- Multiphase flow -- Thermal diffusion -- Cross-diffusion -- Diffusion Coefficients -- Diffusion matrixes -- Diffusion phenomenons -- Linear stability -- Multicomponent flows -- Multicomponent fluids -- Multicomponent mixture -- Soret effect -- Diffusion
Аннотация: The model of convection in a multicomponent fluid is considered taking into account the cross-diffusion and the Soret effect. It is shown that the cross-diffusion coefficients can be eliminated by a linear change of composition and the thermal diffusion coefficients. It allows a simple incorporation of cross-diffusion phenomena into the results obtained for the case of diagonal diffusion matrix. Applications to the modelling of multicomponent flows in microgravity and terrestrial conditions are discussed. В© 2008 Springer Science+Business Media B.V.
Scopus
Доп.точки доступа:
Shevtsova, V.M.; Рыжков, Илья Игоревич
Кл.слова (ненормированные):
Cross-diffusion -- Linear stability -- Multicomponent mixture -- Soret effect -- Mixtures -- Multiphase flow -- Thermal diffusion -- Cross-diffusion -- Diffusion Coefficients -- Diffusion matrixes -- Diffusion phenomenons -- Linear stability -- Multicomponent flows -- Multicomponent fluids -- Multicomponent mixture -- Soret effect -- Diffusion
Аннотация: The model of convection in a multicomponent fluid is considered taking into account the cross-diffusion and the Soret effect. It is shown that the cross-diffusion coefficients can be eliminated by a linear change of composition and the thermal diffusion coefficients. It allows a simple incorporation of cross-diffusion phenomena into the results obtained for the case of diagonal diffusion matrix. Applications to the modelling of multicomponent flows in microgravity and terrestrial conditions are discussed. В© 2008 Springer Science+Business Media B.V.
Scopus
Доп.точки доступа:
Shevtsova, V.M.; Рыжков, Илья Игоревич
Shear driven two-phase flows in vertical cylindrical duct
[Text] : статья / Y. Gaponenko, A. Mialdun, V. Shevtsova // International Journal of Multiphase Flow. - 2012. - Vol. 39. - p. 205-215, DOI 10.1007/s12217-008-9075-7
. - ISSN 0938-0108
Кл.слова (ненормированные):
Gas–liquid flow -- Entrainment -- Interface deformation -- Liquid bridge -- Free surface deformation -- Viscosity contrast
Аннотация: Experiments and numerical simulations were carried out for shear-driven two-phase flows in a confined volume of liquid under conditions of normal gravity. The geometry corresponds to a cylindrical liquid bridge surrounded by a concentric annular gas channel with external solid walls. The internal part consists of solid supports at the bottom and top, while the central part is a liquid zone filled with a viscous liquid and kept in its position by surface tension. Gas enters into the annular duct, flows between solid walls and upon reaching the liquid zone entrains initially quiescent liquid. The flow dynamics is governed by the Navier–Stokes equations in both fluids, which are numerically solved in the exact experimental geometry taking into account interface deformation by gravity. In the experiments 5 cSt silicone oil and air were used as test fluids and the flow was monitored by means of particle tracking velocimetry. The experiments were performed for unit aspect ratio (the ratio of liquid zone length to its radius), while the simulations of shear-driven flow were carried out for a wide range of parameters. A particular attention is focused on the effect of free surface shape and fluids viscosity contrast on the interfacial flow dynamics. The current study suggests a linear dependence between velocities of gas and liquid when the viscosity of the liquid is larger by two orders of magnitude than that of gas. Another relation is proposed when the fluids viscosity ratio, μl/μg, is less than 50.
Полный текст на сайте правообладателя
Доп.точки доступа:
Mialdun, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич
Кл.слова (ненормированные):
Gas–liquid flow -- Entrainment -- Interface deformation -- Liquid bridge -- Free surface deformation -- Viscosity contrast
Аннотация: Experiments and numerical simulations were carried out for shear-driven two-phase flows in a confined volume of liquid under conditions of normal gravity. The geometry corresponds to a cylindrical liquid bridge surrounded by a concentric annular gas channel with external solid walls. The internal part consists of solid supports at the bottom and top, while the central part is a liquid zone filled with a viscous liquid and kept in its position by surface tension. Gas enters into the annular duct, flows between solid walls and upon reaching the liquid zone entrains initially quiescent liquid. The flow dynamics is governed by the Navier–Stokes equations in both fluids, which are numerically solved in the exact experimental geometry taking into account interface deformation by gravity. In the experiments 5 cSt silicone oil and air were used as test fluids and the flow was monitored by means of particle tracking velocimetry. The experiments were performed for unit aspect ratio (the ratio of liquid zone length to its radius), while the simulations of shear-driven flow were carried out for a wide range of parameters. A particular attention is focused on the effect of free surface shape and fluids viscosity contrast on the interfacial flow dynamics. The current study suggests a linear dependence between velocities of gas and liquid when the viscosity of the liquid is larger by two orders of magnitude than that of gas. Another relation is proposed when the fluids viscosity ratio, μl/μg, is less than 50.
Полный текст на сайте правообладателя
Доп.точки доступа:
Mialdun, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич
Properties of the solution of the adjoint problem describing the motion of viscous fluids in a tube
[Text] / V. K. Andreev // Differ. Equ. - 2011. - Vol. 47, Is. 5. - P671-680, DOI 10.1134/S0012266111050065. - Cited References: 6. - The research was supported by the Russian Foundation for Basic Research (project no. 08-01-00762) and by Interscience Integration Project 116 of the Siberian Branch of the Russian Academy of Sciences.
. - ISSN 0012-2661
РУБ Mathematics
Аннотация: For the Navier-Stokes equations, we study a solution invariant with respect to a oneparameter group and modeling a nonstationary motion of two viscous fluids in a cylindrical tube; the fluid layer near the tube wall can be viewed as a lubricant. The motion is due to a nonstationary pressure drop. We obtain a priori estimates for the velocities in the layers. We find a stationary state of the system and show that it is the limit state as t - a provided that the pressure gradient in one of the fluids stabilizes with time. We solve the inverse problem of finding the pressure gradients and the velocity field from a known flow rate.
Доп.точки доступа:
Андреев, Виктор Константинович
Аннотация: For the Navier-Stokes equations, we study a solution invariant with respect to a oneparameter group and modeling a nonstationary motion of two viscous fluids in a cylindrical tube; the fluid layer near the tube wall can be viewed as a lubricant. The motion is due to a nonstationary pressure drop. We obtain a priori estimates for the velocities in the layers. We find a stationary state of the system and show that it is the limit state as t - a provided that the pressure gradient in one of the fluids stabilizes with time. We solve the inverse problem of finding the pressure gradients and the velocity field from a known flow rate.
Доп.точки доступа:
Андреев, Виктор Константинович
Thermocapillary instabilities in liquid bridges revisited
[Text] / I. I. Ryzhkov // Phys. Fluids. - 2011. - Vol. 23, Is. 8. - Ст. 82103, DOI 10.1063/1.3627150. - Cited References: 13. - This work is supported by the Interdisciplinary Project 116 of SB RAS and Russian President Grant No. MK-299.2009.1.
. - ISSN 1070-6631
РУБ Mechanics + Physics, Fluids & Plasmas
Аннотация: The study of convective thermocapillary instabilities in liquid bridges [J. J. Xu and S. H. Davis, Phys. Fluids 27(5), 1102 (1984)] is revisited. A new branch of neutral mode m = 1 is found. The previously reported results are confirmed in the range of low Prandtl numbers. It is shown that for large Prandtl numbers, the flow becomes unstable at much smaller values of the Marangoni number than it was reported previously. The calculations are performed for adiabatic and heat conductive free surface. In both cases, the critical mode is m = 1. The previously reported change of critical mode from m = 1 to m = 0 with increasing the Prandtl number is not confirmed. The corrected results provide a better agreement with the experimental data. (C) 2011 American Institute of Physics. [doi:10.1063/1.3627150]
Доп.точки доступа:
Рыжков, Илья Игоревич
Аннотация: The study of convective thermocapillary instabilities in liquid bridges [J. J. Xu and S. H. Davis, Phys. Fluids 27(5), 1102 (1984)] is revisited. A new branch of neutral mode m = 1 is found. The previously reported results are confirmed in the range of low Prandtl numbers. It is shown that for large Prandtl numbers, the flow becomes unstable at much smaller values of the Marangoni number than it was reported previously. The calculations are performed for adiabatic and heat conductive free surface. In both cases, the critical mode is m = 1. The previously reported change of critical mode from m = 1 to m = 0 with increasing the Prandtl number is not confirmed. The corrected results provide a better agreement with the experimental data. (C) 2011 American Institute of Physics. [doi:10.1063/1.3627150]
Доп.точки доступа:
Рыжков, Илья Игоревич
NUMERICAL-SIMULATION OF THE 1973 SHIKOTAN (NEMURO-OKI) TSUNAMI
[Text] / L. B. CHUBAROV, Y. I. SHOKIN, V. K. GUSIAKOV // Comput. Fluids. - 1984. - Vol. 12, Is. 2. - P123-132, DOI 10.1016/0045-7930(84)90018-5. - Cited References: 12
. - ISSN 0045-7930
РУБ Computer Science, Interdisciplinary Applications + Mechanics
WOS
Держатели документа:
ACAD SCI USSR,CTR COMP,KRASNOYARSK 660036,USSR
ACAD SCI USSR,CTR COMP,NOVOSIBIRSK 630090,USSR
ИВМ СО РАН
Доп.точки доступа:
CHUBAROV, L.B.; SHOKIN, Y.I.; Шокин, Юрий Иванович; GUSIAKOV, V.K.
WOS
Держатели документа:
ACAD SCI USSR,CTR COMP,KRASNOYARSK 660036,USSR
ACAD SCI USSR,CTR COMP,NOVOSIBIRSK 630090,USSR
ИВМ СО РАН
Доп.точки доступа:
CHUBAROV, L.B.; SHOKIN, Y.I.; Шокин, Юрий Иванович; GUSIAKOV, V.K.
Numerical simulation of the 1973 Shikotan (Nemuro-Oki) tsunami
/ L. B. Chubarov, Yu. I. Shokin, V. K. Gusiakov // Computers and Fluids. - 1984. - Vol. 12, Is. 2. - P123-132
. - ISSN 0045-7930
Кл.слова (ненормированные):
COMPUTER SIMULATION - Applications -- TIDE GAGES -- MAREOGRAMS -- WATER WAVES
Аннотация: The paper presents the results of numerical simulation of Shikotan (Nemuro-Oki) tsunami of 17 June 1973. Static deformations of the sea bottom are computed for some dimensional dislocation model of the seismic source with the parameters obtained from seismological observations. The computed bottom deformations are used as the initial conditions for the tsunami propagation problem in the ocean with a real bathymetry, which is considered within the framework of linear theory of shallow water. Three variants of tsunami source are examined. Travel time charts and computed mareograms at a number of points of the shoreline are presented. At 4 points, where tide-gauge records are available, the comparison of the computed mareograms with the observed ones is made. It is found that the numerical model can reproduce the basic features of the tsunami of 17 June 1973. В© 1984.
Scopus
Держатели документа:
Computing Center of Siberian Division of the USSR Academy of Sciences, 660036 Krasnoyarsk, 36, Akademgorodok, U.S.S.R.
Siberian Division, the USSR Academy of Sciences, Computing Center, 630090 Novosibirsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Chubarov, L.B.; Shokin, Yu.I.; Шокин, Юрий Иванович; Gusiakov, V.K.
Кл.слова (ненормированные):
COMPUTER SIMULATION - Applications -- TIDE GAGES -- MAREOGRAMS -- WATER WAVES
Аннотация: The paper presents the results of numerical simulation of Shikotan (Nemuro-Oki) tsunami of 17 June 1973. Static deformations of the sea bottom are computed for some dimensional dislocation model of the seismic source with the parameters obtained from seismological observations. The computed bottom deformations are used as the initial conditions for the tsunami propagation problem in the ocean with a real bathymetry, which is considered within the framework of linear theory of shallow water. Three variants of tsunami source are examined. Travel time charts and computed mareograms at a number of points of the shoreline are presented. At 4 points, where tide-gauge records are available, the comparison of the computed mareograms with the observed ones is made. It is found that the numerical model can reproduce the basic features of the tsunami of 17 June 1973. В© 1984.
Scopus
Держатели документа:
Computing Center of Siberian Division of the USSR Academy of Sciences, 660036 Krasnoyarsk, 36, Akademgorodok, U.S.S.R.
Siberian Division, the USSR Academy of Sciences, Computing Center, 630090 Novosibirsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Chubarov, L.B.; Shokin, Yu.I.; Шокин, Юрий Иванович; Gusiakov, V.K.
The numerical modelling of long wave propagation in the framework of non-linear dispersion models
/ L. B. Chubarov, Yu. I. Shokin // Computers and Fluids. - 1987. - Vol. 15, Is. 3. - P229-249
. - ISSN 0045-7930
Кл.слова (ненормированные):
FLOW OF WATER - Diffusion -- MATHEMATICAL MODELS -- MATHEMATICAL TECHNIQUES - Numerical Methods -- LONG WAVE PROPAGATION -- WATER WAVES
Аннотация: The work is devoted to the questions of numerical modelling of long wave propagation, in particular tsunami waves, in the framework of non-linear dispersion models of the Boussinesq and Korteweg-de Vries type. The first part of the work includes a classification of some known mathematical models, in terms of dispersion correlation, phase and group velocities. Problems arising on the construction of finite-difference approximations of non-linear dispersion models are discussed in the second part of the work, special attention is given to the questions of constructing discrete boundary conditions. In the conclusion the results obtained in the course of numerical experiments and estimation of specifics of finite-difference models, and the contribution of non-linear dispersion effects in the process of wave propagation in the coastal zone, are discussed. The results of calculations of tsunami wave propagation in a wave tube with real bathymetry, are given. В© 1987.
Scopus
Держатели документа:
Computing Center of Siberian Division of the U.S.S.R., Academy of Sciences, 660036, Krasnoyarsk 36, Akademgorodok, U.S.S.R.
ИВМ СО РАН
Доп.точки доступа:
Chubarov, L.B.; Shokin, Yu.I.; Шокин, Юрий Иванович
Кл.слова (ненормированные):
FLOW OF WATER - Diffusion -- MATHEMATICAL MODELS -- MATHEMATICAL TECHNIQUES - Numerical Methods -- LONG WAVE PROPAGATION -- WATER WAVES
Аннотация: The work is devoted to the questions of numerical modelling of long wave propagation, in particular tsunami waves, in the framework of non-linear dispersion models of the Boussinesq and Korteweg-de Vries type. The first part of the work includes a classification of some known mathematical models, in terms of dispersion correlation, phase and group velocities. Problems arising on the construction of finite-difference approximations of non-linear dispersion models are discussed in the second part of the work, special attention is given to the questions of constructing discrete boundary conditions. In the conclusion the results obtained in the course of numerical experiments and estimation of specifics of finite-difference models, and the contribution of non-linear dispersion effects in the process of wave propagation in the coastal zone, are discussed. The results of calculations of tsunami wave propagation in a wave tube with real bathymetry, are given. В© 1987.
Scopus
Держатели документа:
Computing Center of Siberian Division of the U.S.S.R., Academy of Sciences, 660036, Krasnoyarsk 36, Akademgorodok, U.S.S.R.
ИВМ СО РАН
Доп.точки доступа:
Chubarov, L.B.; Shokin, Yu.I.; Шокин, Юрий Иванович
THE NUMERICAL MODELING OF LONG-WAVE PROPAGATION IN THE FRAMEWORK OF NONLINEAR DISPERSION MODELS
[Text] / L. B. CHUBAROV, Y. I. SHOKIN // Comput. Fluids. - 1987. - Vol. 15, Is. 3. - P229-249, DOI 10.1016/0045-7930(87)90008-9. - Cited References: 25
. - ISSN 0045-7930
РУБ Computer Science, Interdisciplinary Applications + Mechanics
WOS
Держатели документа:
ACAD SCI USSR,SIBERIAN DIV,CTR COMP,KRASNOYARSK 36,AKADEMGORODOK,USSR
ИВМ СО РАН
Доп.точки доступа:
CHUBAROV, L.B.; SHOKIN, Y.I.; Шокин, Юрий Иванович
WOS
Держатели документа:
ACAD SCI USSR,SIBERIAN DIV,CTR COMP,KRASNOYARSK 36,AKADEMGORODOK,USSR
ИВМ СО РАН
Доп.точки доступа:
CHUBAROV, L.B.; SHOKIN, Y.I.; Шокин, Юрий Иванович
Numerical analysis of pollutant transport in upper turbulent layers of seas and oceans
/ N. V. Dmitriev, E. A. Dvurechenskaya // Meteorologiya i Gidrologiya. - 1994. - Is. 12. - P53-62
. - ISSN 0130-2906
Кл.слова (ненормированные):
Computer simulation -- Flow of fluids -- Fluid dynamics -- Hydrodynamics -- Mathematical models -- Numerical analysis -- Oceanography -- Seawater -- Thermodynamics -- Turbulence -- Pollutant transfer -- Water pollution
Аннотация: Two mathematical models of admixture dispersion in a surface turbulent layer of the pool are considered. All hydrodynamic characteristics required for the models are determined using a thermodynamic model of the horizontally homogeneous upper turbulent layer of the ocean. Numerical experiments have been performed to estimate the influence of stratification on the admixture diffusion. The advantages and drawbacks of the models are discussed. The importance of consideration of the influence of stratification on admixture diffusion is shown.
Scopus
Держатели документа:
Vychislitel'nyj Tsentr SO RAN, Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Dmitriev, N.V.; Dvurechenskaya, E.A.
Кл.слова (ненормированные):
Computer simulation -- Flow of fluids -- Fluid dynamics -- Hydrodynamics -- Mathematical models -- Numerical analysis -- Oceanography -- Seawater -- Thermodynamics -- Turbulence -- Pollutant transfer -- Water pollution
Аннотация: Two mathematical models of admixture dispersion in a surface turbulent layer of the pool are considered. All hydrodynamic characteristics required for the models are determined using a thermodynamic model of the horizontally homogeneous upper turbulent layer of the ocean. Numerical experiments have been performed to estimate the influence of stratification on the admixture diffusion. The advantages and drawbacks of the models are discussed. The importance of consideration of the influence of stratification on admixture diffusion is shown.
Scopus
Держатели документа:
Vychislitel'nyj Tsentr SO RAN, Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Dmitriev, N.V.; Dvurechenskaya, E.A.
Invariance principle for extension of hydrodynamics: Nonlinear viscosity
/ I. V. Karlin, G. Dukek, T. F. Nonnenmacher // Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. - 1997. - Vol. 55, Is. 2. - P1573-1576
. - ISSN 1063-651X
Аннотация: Invariance of nonhydrodynamic variables is put forward as a working principle of extending hydrodynamics into a highly nonequilibrium domain. Following this principle, the leading modification of the viscosity due to the gradient of the average velocity is derived explicitly from nonlinear moment Grad equations [Commun. Pure Appl. Math. 2, 331 (1949)].
Scopus
Держатели документа:
Department of Mathematical Physics, University of Ulm, Ulm, D-89069, Germany
Computing Center, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Dukek, G.; Nonnenmacher, T.F.
Аннотация: Invariance of nonhydrodynamic variables is put forward as a working principle of extending hydrodynamics into a highly nonequilibrium domain. Following this principle, the leading modification of the viscosity due to the gradient of the average velocity is derived explicitly from nonlinear moment Grad equations [Commun. Pure Appl. Math. 2, 331 (1949)].
Scopus
Держатели документа:
Department of Mathematical Physics, University of Ulm, Ulm, D-89069, Germany
Computing Center, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Dukek, G.; Nonnenmacher, T.F.
On thermal diffusion separation in binary mixtures with variable transport coefficients
/ I. I. Ryzhkov, I. V. Stepanova // Int. J. Heat Mass Transf. - 2015. - Vol. 86. - P268-276, DOI 10.1016/j.ijheatmasstransfer.2015.02.069
. - ISSN 0017-9310
Кл.слова (ненормированные):
Analytical solutions -- Binary mixture -- Diffusion -- Thermal diffusion -- Variable transport properties -- Differential equations -- Diffusion -- Heat transfer -- Mass transfer -- Mixtures -- Ordinary differential equations -- Plates (structural components) -- Suspensions (fluids) -- Thermal conductivity -- Thermal diffusion -- Transport properties -- Colloidal suspensions -- Concentration profiles -- Constant temperature -- Diffusion separation -- Heat and mass transfer -- One-dimensional equation -- Stationary heat transfer -- Transport coefficient -- Binary mixtures
Аннотация: The stationary heat transfer and Soret separation of a binary mixture between parallel plates with different constant temperatures is studied allowing for variable transport properties. The mixture is described by non-linear one-dimensional equations of heat and mass transfer, where the density, thermal conductivity, and Soret coefficient depend on temperature and concentration. A general procedure for integrating these equations is proposed. The problem is reduced to the ordinary differential equation of first order, which describes the trajectory of the system in the concentrationerature plane, and implicit dependence of temperature on space coordinate. It is shown that the solution for concentration is unique if the density and thermal conductivity do not depend on concentration. Analytical solutions of the problem are derived in a number of cases, while the most general case is treated numerically. The non-linear temperature and concentration profiles in different binary mixtures (aqueous solutions, colloidal suspensions, polymer blend) are constructed and analyzed. A procedure for extracting the dependence of Soret coefficient on temperature and concentration from the experimentally measured thermal and compositional profiles is suggested. © 2015 Elsevier Ltd.All rights reserved.
Scopus,
WOS
Держатели документа:
Institute of Computational Modelling SB RASAkademgorodok,Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна; Рыжков, Илья Игоревич
Кл.слова (ненормированные):
Analytical solutions -- Binary mixture -- Diffusion -- Thermal diffusion -- Variable transport properties -- Differential equations -- Diffusion -- Heat transfer -- Mass transfer -- Mixtures -- Ordinary differential equations -- Plates (structural components) -- Suspensions (fluids) -- Thermal conductivity -- Thermal diffusion -- Transport properties -- Colloidal suspensions -- Concentration profiles -- Constant temperature -- Diffusion separation -- Heat and mass transfer -- One-dimensional equation -- Stationary heat transfer -- Transport coefficient -- Binary mixtures
Аннотация: The stationary heat transfer and Soret separation of a binary mixture between parallel plates with different constant temperatures is studied allowing for variable transport properties. The mixture is described by non-linear one-dimensional equations of heat and mass transfer, where the density, thermal conductivity, and Soret coefficient depend on temperature and concentration. A general procedure for integrating these equations is proposed. The problem is reduced to the ordinary differential equation of first order, which describes the trajectory of the system in the concentrationerature plane, and implicit dependence of temperature on space coordinate. It is shown that the solution for concentration is unique if the density and thermal conductivity do not depend on concentration. Analytical solutions of the problem are derived in a number of cases, while the most general case is treated numerically. The non-linear temperature and concentration profiles in different binary mixtures (aqueous solutions, colloidal suspensions, polymer blend) are constructed and analyzed. A procedure for extracting the dependence of Soret coefficient on temperature and concentration from the experimentally measured thermal and compositional profiles is suggested. © 2015 Elsevier Ltd.All rights reserved.
Scopus,
WOS
Держатели документа:
Institute of Computational Modelling SB RASAkademgorodok,Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна; Рыжков, Илья Игоревич
The evolution of the thermocapillary motion of three fluids in a plane layer
[Text] : статья / V. K. Andreev, Ye. N. Lemeshkhova // PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. - 2014. - Vol. 78, Iss. 4. - p. 341-347DOI 10.1016/j.jappmathmech.2014.12.004
. -
Аннотация: The unidirectional motion of three immiscible incompressible viscous heat-conducting liquids in a plane layer is considered. It is assumed that the motion occurs only under the action of thermocapillary forces from a state of rest. The analysis of the motion is reduced to solving linear conjugate initial boundary value problems for a system of parabolic equations. A non-stationary solution is sought by the Laplace transformation method and is obtained in the form of finite analytical expressions in transforms. It is proved that, as the time increases, the solution always reaches the steady state obtained earlier and an exponential estimate of the rate of convergence is given with an indicator which depends on the physical properties of the media and the layer thicknesses. The evolution of the velocity and temperature perturbation fields to a steady state for specific liquid media is obtained by numerical inversion of the Laplace transformation. (C) 2015 Elsevier Ltd. All rights reserved.
Доп.точки доступа:
Lemeshkhova, Ye.N.; Лемешкова, Елена Николаевна; Андреев, Виктор Константинович
Аннотация: The unidirectional motion of three immiscible incompressible viscous heat-conducting liquids in a plane layer is considered. It is assumed that the motion occurs only under the action of thermocapillary forces from a state of rest. The analysis of the motion is reduced to solving linear conjugate initial boundary value problems for a system of parabolic equations. A non-stationary solution is sought by the Laplace transformation method and is obtained in the form of finite analytical expressions in transforms. It is proved that, as the time increases, the solution always reaches the steady state obtained earlier and an exponential estimate of the rate of convergence is given with an indicator which depends on the physical properties of the media and the layer thicknesses. The evolution of the velocity and temperature perturbation fields to a steady state for specific liquid media is obtained by numerical inversion of the Laplace transformation. (C) 2015 Elsevier Ltd. All rights reserved.
Доп.точки доступа:
Lemeshkhova, Ye.N.; Лемешкова, Елена Николаевна; Андреев, Виктор Константинович