[Text] : статья / I. I. Ryzhkov // Bulletin of the European Low Gravity Research Association. - 2011. - Vol. 27. - p. 46-47
Доп.точки доступа:
Рыжков, Илья Игоревич
Труды сотрудников ИВМ СО РАН
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Найдено документов в текущей БД: 54
Convective instability of Marangoni-Poiseuille flow under a longitudinal temperature gradient
[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.
Полный текст на сайте правообладателя
Доп.точки доступа:
Бекежанова, Виктория Бахытовна
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.
Полный текст на сайте правообладателя
Доп.точки доступа:
Бекежанова, Виктория Бахытовна
The Joint Motion of Two Binary Mixtures in a Flat Layer
[Текст] : статья / V. K. Andreev // Journal of Siberian Federal University. Mathematics & Physics = Журнал Сибирского федерального университета. Математика и физика. - 2008. - Т. 1, № 4. - С. 349-370
Аннотация: The invariant solution of the equations of thermodiffusional motion is investigated. This solution describes the motion of two immiscible incompressible binary mixtures with a common flat interface under the action of pressure gradient and thermocapillary forces. The stationary flow of such system is found. If the pressure gradient in one of the mixtures tends to zero sufficiently fast, then the motion of mixtures is slowed down by the viscous friction. On the other hand, if there exists a finite limit of pressure gradient when time tends to infinity, then the solution tends to the stationary state.
Полный текст на сайте журнала
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Андреев, Виктор Константинович
Аннотация: The invariant solution of the equations of thermodiffusional motion is investigated. This solution describes the motion of two immiscible incompressible binary mixtures with a common flat interface under the action of pressure gradient and thermocapillary forces. The stationary flow of such system is found. If the pressure gradient in one of the mixtures tends to zero sufficiently fast, then the motion of mixtures is slowed down by the viscous friction. On the other hand, if there exists a finite limit of pressure gradient when time tends to infinity, then the solution tends to the stationary state.
Полный текст на сайте журнала
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
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
Free surface heat transfer effect on thermocapillary flow in liquid bridges
[Text] : тезисы / Y. Gaponenko, A. Nepomnyashchy, V. Shevtsova // Abstracts of BIFD 2011 : Bifurcation and Instabilities in Fluid Dynamics. - 2011
Доп.точки доступа:
Nepomnyashchy, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич
Доп.точки доступа:
Nepomnyashchy, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич
Thermocapillary and shear driven flows in gas/liquid system within annular duct
[Text] : тезисы / Y. Gaponenko, A. Nepomnyashchy, V. Shevtsova // Abstracts of 4-th Int. symp. on Physical Sciences in Space. - 2011. - p. 37
Доп.точки доступа:
Nepomnyashchy, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич
Доп.точки доступа:
Nepomnyashchy, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич
Ostroumov-Birikh solution of convection equations with nonlinear buoyancy force
[Text] / V. K. Andreev, I. V. Stepanova // Appl. Math. Comput. - 2014. - Vol. 228. - P. 59-67, DOI 10.1016/j.amc.2013.11.002. - Cited References: 21. - The work is supported by RFBR Grant (project 11-01-00283) and Integrational grant of SB of RAS (project 44).
. - ISSN 0096-3003. - ISSN 1873-5649
РУБ Mathematics, Applied
Аннотация: The thermodiffusion convection equations with nonlinear buoyancy force are studied. Some particular solutions for describing of thermoconcentration flows are found. Two boundary value problems are solved for thermal convection case. The comparison with the linear Oberbeck-Boussinesq model is given. (C) 2013 Elsevier Inc. All rights reserved.
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Scopus
Держатели документа:
[Andreev, Viktor K.
Stepanova, Irina V.] Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Доп.точки доступа:
Andreev, V.K.; Андреев, Виктор Константинович; Stepanova, I.V.; Степанова, Ирина Владимировна; RFBR [11-01-00283]; Integrational grant of SB of RAS [44]
Рубрики:
THERMOCAPILLARY LIQUID LAYERS
2-LAYER FLOW
INSTABILITIES
Кл.слова (ненормированные):
Exact solutions -- Convection -- Binary mixture -- Thermodiffusion -- One-layer and two-layer flows
THERMOCAPILLARY LIQUID LAYERS
2-LAYER FLOW
INSTABILITIES
Кл.слова (ненормированные):
Exact solutions -- Convection -- Binary mixture -- Thermodiffusion -- One-layer and two-layer flows
Аннотация: The thermodiffusion convection equations with nonlinear buoyancy force are studied. Some particular solutions for describing of thermoconcentration flows are found. Two boundary value problems are solved for thermal convection case. The comparison with the linear Oberbeck-Boussinesq model is given. (C) 2013 Elsevier Inc. All rights reserved.
WOS,
Scopus
Держатели документа:
[Andreev, Viktor K.
Stepanova, Irina V.] Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Доп.точки доступа:
Andreev, V.K.; Андреев, Виктор Константинович; Stepanova, I.V.; Степанова, Ирина Владимировна; RFBR [11-01-00283]; Integrational grant of SB of RAS [44]
Thermocapillary instabilities in liquid columns under co – and counter-current gas flows
/ I. I. Ryzhkov, V. M. Shevtsova // International Journal of Heat and Mass Transfer. - 2012. - Vol. 55, Is. 4. - pp. 1236–1245, DOI 10.1016/j.ijheatmasstransfer.2011.09.030
. - ISSN 0017-9310
Кл.слова (ненормированные):
Thermocapillary instability -- Liquid column -- Two-phase flow -- Linear stability
Аннотация: The thermocapillary flows in an infinite liquid column surrounded by an annular channel of gas with the axial temperature gradient are investigated. The gas is pumped through the channel parallel to the interface with a given flow rate. The solution for stationary motion is derived and possible flow regimes are analyzed depending on the Marangoni number and dimensionless gas flow rate. Linear stability analysis of these regimes is performed. It is shown that gas pumping in the same direction with respect to the thermocapillary motion on the interface has a destabilizing effect on the system. Gas pumping in the opposite direction can be stabilizing or destabilizing depending on the gas flow rate. It is shown that the motion of liquid can be completely vanished by the gas flow with a specified flow rate. The obtained results demonstrate the possibility of controlling thermocapillary flows and their stability in liquid columns (liquid bridges) by gas flows.
Полный текст на сайте правообладателя
Доп.точки доступа:
Shevtsova, V.M.; Рыжков, Илья Игоревич
Кл.слова (ненормированные):
Thermocapillary instability -- Liquid column -- Two-phase flow -- Linear stability
Аннотация: The thermocapillary flows in an infinite liquid column surrounded by an annular channel of gas with the axial temperature gradient are investigated. The gas is pumped through the channel parallel to the interface with a given flow rate. The solution for stationary motion is derived and possible flow regimes are analyzed depending on the Marangoni number and dimensionless gas flow rate. Linear stability analysis of these regimes is performed. It is shown that gas pumping in the same direction with respect to the thermocapillary motion on the interface has a destabilizing effect on the system. Gas pumping in the opposite direction can be stabilizing or destabilizing depending on the gas flow rate. It is shown that the motion of liquid can be completely vanished by the gas flow with a specified flow rate. The obtained results demonstrate the possibility of controlling thermocapillary flows and their stability in liquid columns (liquid bridges) by gas flows.
Полный текст на сайте правообладателя
Доп.точки доступа:
Shevtsova, V.M.; Рыжков, Илья Игоревич
On Thermocapillary Instability of a Liquid Column with a Co-axial Gas Flow
[Текст] : статья / V. K. Andreev, I. I. Ryzhkov // Journal of Siberian Federal University. Mathematics & Physics = Журнал Сибирского федерального университета. Математика и физика. - 2013. - Т. 6, № 1. - С. 3-17
Перевод заглавия: О термокапиллярной неустойчивости жидкого цилиндра, обдуваемого потоком газа
Аннотация: The thermocapillary flows and their stability in an infinite liquid column surrounded by a co–axial gas layer with a given flow rate are investigated. The gas layer is surrounded by a rigid cylindrical surface, which can move in vertical direction. A constant axial temperature gradient is maintained in the layers. The exact solution describing the stationary flow in the given two–phase system is derived. Possible flow regimes are investigated and linear stability analysis of these regimes is performed. The cases of non–deformable and deformable interface are studied.
Полный текст на сайте журнала
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Андреев, Виктор Константинович
Перевод заглавия: О термокапиллярной неустойчивости жидкого цилиндра, обдуваемого потоком газа
Аннотация: The thermocapillary flows and their stability in an infinite liquid column surrounded by a co–axial gas layer with a given flow rate are investigated. The gas layer is surrounded by a rigid cylindrical surface, which can move in vertical direction. A constant axial temperature gradient is maintained in the layers. The exact solution describing the stationary flow in the given two–phase system is derived. Possible flow regimes are investigated and linear stability analysis of these regimes is performed. The cases of non–deformable and deformable interface are studied.
Полный текст на сайте журнала
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Андреев, Виктор Константинович
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
Axisymmetric thermocapillary motion in a cylinder at small marangoni number
/ E. P. Magdenko // J. Sib. Fed. Univ. Math. Phys. - 2015. - Vol. 8, Is. 3. - P303-311, DOI 10.17516/1997-1397-2015-8-3-303-311
. - ISSN 1997-1397
Кл.слова (ненормированные):
Fluid-fluid interface -- Inverse problem -- Laplace transform -- Thermocapillary motion
Аннотация: The solution to the linear problem of axisymmetric thermocapillary motion of two non-miscible vis-cous fluids in a cylindrical tube is presented. Their common interface is fixed and undeformable. This problem is an inverse problem because pressure gradients are unknown functions. The solution of the non-stationary problem is presented in the form of analytical expressions. They are obtained with the use of the method of Laplace transformation. If the wall temperature is stabilized then the general solution tends to the stationary solution as time increases. Numerical calculations confirm the theoretical results. © Siberian Federal University. All rights reserved.
Scopus
Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Magdenko, E. P.; Магденко, Евгений Петрович
Кл.слова (ненормированные):
Fluid-fluid interface -- Inverse problem -- Laplace transform -- Thermocapillary motion
Аннотация: The solution to the linear problem of axisymmetric thermocapillary motion of two non-miscible vis-cous fluids in a cylindrical tube is presented. Their common interface is fixed and undeformable. This problem is an inverse problem because pressure gradients are unknown functions. The solution of the non-stationary problem is presented in the form of analytical expressions. They are obtained with the use of the method of Laplace transformation. If the wall temperature is stabilized then the general solution tends to the stationary solution as time increases. Numerical calculations confirm the theoretical results. © Siberian Federal University. All rights reserved.
Scopus
Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Magdenko, E. P.; Магденко, Евгений Петрович
Longwave stability of two-layer fluid flow in the inclined plane
/ V. B. Bekezhanova, A. V. Rodionova // Fluid Dyn. - 2015. - Vol. 50, Is. 6. - P723-736, DOI 10.1134/S0015462815060010
. - ISSN 0015-4628
Кл.слова (ненормированные):
interface -- spectrum of characteristic perturbations -- stability -- Capillary flow -- Convergence of numerical methods -- Eigenvalues and eigenfunctions -- Fluid dynamics -- Interfaces (materials) -- Machinery -- Inclined planes -- Long-wave stabilities -- Oscillatory regimes -- Spectral problem -- spectrum of characteristic perturbations -- Thermocapillary flow -- Two layer fluid -- Zeroth approximations -- Flow of fluids
Аннотация: The exact invariantOstroumov–Birikh solution of the Oberbeck–Bussinesq equationswhich describes two-layer advective thermocapillary flows in the inclined plane is analyzed. The spectrum of the characteristic perturbations of all classes of the flows is investigated and analytical representations of the eigennumbers and eigenfunctions of the corresponding spectral problem are obtained in the zeroth approximation. Stability of the flows with respect to longwave perturbations and the possibility of existence of oscillatory regimes are proved. © 2015, Pleiades Publishing, Ltd.
Scopus,
WOS
Держатели документа:
Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Akademgorodok 50, Krasnoyarsk, Russian Federation
Institute of Mathematics and Basic Informatics of the Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Rodionova, A. V.; Бекежанова, Виктория Бахытовна
Кл.слова (ненормированные):
interface -- spectrum of characteristic perturbations -- stability -- Capillary flow -- Convergence of numerical methods -- Eigenvalues and eigenfunctions -- Fluid dynamics -- Interfaces (materials) -- Machinery -- Inclined planes -- Long-wave stabilities -- Oscillatory regimes -- Spectral problem -- spectrum of characteristic perturbations -- Thermocapillary flow -- Two layer fluid -- Zeroth approximations -- Flow of fluids
Аннотация: The exact invariantOstroumov–Birikh solution of the Oberbeck–Bussinesq equationswhich describes two-layer advective thermocapillary flows in the inclined plane is analyzed. The spectrum of the characteristic perturbations of all classes of the flows is investigated and analytical representations of the eigennumbers and eigenfunctions of the corresponding spectral problem are obtained in the zeroth approximation. Stability of the flows with respect to longwave perturbations and the possibility of existence of oscillatory regimes are proved. © 2015, Pleiades Publishing, Ltd.
Scopus,
WOS
Держатели документа:
Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Akademgorodok 50, Krasnoyarsk, Russian Federation
Institute of Mathematics and Basic Informatics of the Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Rodionova, A. V.; Бекежанова, Виктория Бахытовна
Stability of exact solutions describing two-layer flows with evaporation at the interface
/ V. B. Bekezhanova, O. N. Goncharova // Fluid Dyn. Res. - 2016. - Vol. 48, Is. 6, DOI 10.1088/0169-5983/48/6/061408
. - ISSN 0169-5983
Кл.слова (ненормированные):
exact solution -- finiteamplitude perturbations -- thermocapillary interface -- two-layer flow -- Capillary flow -- Flow of gases -- Gases -- Heat conduction -- Natural convection -- Temperature -- Thermal gradients -- Exact solution -- Finite-amplitude perturbations -- Longitudinal gradients -- Oberbeck-Boussinesq approximation -- Oscillatory perturbations -- Thermocapillary -- Thermocapillary effect -- Two-layer flows -- Navier Stokes equations
Аннотация: A new exact solution of the equations of free convection has been constructed in the framework of the Oberbeck-Boussinesq approximation of the Navier-Stokes equations. The solution describes the joint flow of an evaporating viscous heat-conducting liquid and gas-vapor mixture in a horizontal channel. In the gas phase the Dufour and Soret effects are taken into account. The consideration of the exact solution allows one to describe different classes of flows depending on the values of the problem parameters and boundary conditions for the vapor concentration. A classification of solutions and results of the solution analysis are presented. The effects of the external disturbing influences (of the liquid flow rates and longitudinal gradients of temperature on the channel walls) on the stability characteristics have been numerically studied for the system HFE7100-nitrogen in the common case, when the longitudinal temperature gradients on the boundaries of the channel are not equal. In the system both monotonic and oscillatory modes can be formed, which damp or grow depending on the values of the initial perturbations, flow rates and temperature gradients. Hydrodynamic perturbations are most dangerous under large gas flow rates. The increasing oscillatory perturbations are developed due to the thermocapillary effect under large longitudinal gradients of temperature. The typical forms of the disturbances are shown. © 2016 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
Scopus,
Смотреть статью
Держатели документа:
Institute of Computational Modelling SB RAS, 50/44 Krasnoyarsk, Akademgorodok, Russian Federation
Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, Russian Federation
Altai State University, Lenina 61, Barnaul, Russian Federation
Institute of Thermophysics, SB RAS, Lavrentyev 1, Novosibirsk, Russian Federation
Доп.точки доступа:
Bekezhanova, V. B.; Goncharova, O. N.
Кл.слова (ненормированные):
exact solution -- finiteamplitude perturbations -- thermocapillary interface -- two-layer flow -- Capillary flow -- Flow of gases -- Gases -- Heat conduction -- Natural convection -- Temperature -- Thermal gradients -- Exact solution -- Finite-amplitude perturbations -- Longitudinal gradients -- Oberbeck-Boussinesq approximation -- Oscillatory perturbations -- Thermocapillary -- Thermocapillary effect -- Two-layer flows -- Navier Stokes equations
Аннотация: A new exact solution of the equations of free convection has been constructed in the framework of the Oberbeck-Boussinesq approximation of the Navier-Stokes equations. The solution describes the joint flow of an evaporating viscous heat-conducting liquid and gas-vapor mixture in a horizontal channel. In the gas phase the Dufour and Soret effects are taken into account. The consideration of the exact solution allows one to describe different classes of flows depending on the values of the problem parameters and boundary conditions for the vapor concentration. A classification of solutions and results of the solution analysis are presented. The effects of the external disturbing influences (of the liquid flow rates and longitudinal gradients of temperature on the channel walls) on the stability characteristics have been numerically studied for the system HFE7100-nitrogen in the common case, when the longitudinal temperature gradients on the boundaries of the channel are not equal. In the system both monotonic and oscillatory modes can be formed, which damp or grow depending on the values of the initial perturbations, flow rates and temperature gradients. Hydrodynamic perturbations are most dangerous under large gas flow rates. The increasing oscillatory perturbations are developed due to the thermocapillary effect under large longitudinal gradients of temperature. The typical forms of the disturbances are shown. © 2016 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
Scopus,
Смотреть статью
Держатели документа:
Institute of Computational Modelling SB RAS, 50/44 Krasnoyarsk, Akademgorodok, Russian Federation
Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, Russian Federation
Altai State University, Lenina 61, Barnaul, Russian Federation
Institute of Thermophysics, SB RAS, Lavrentyev 1, Novosibirsk, Russian Federation
Доп.точки доступа:
Bekezhanova, V. B.; Goncharova, O. N.
2D thermocapillary motion of three fluids in a flat channel
/ V. K. Andreev, E. N. Cheremnykh // J. Sib. Fed. Univ. Math. Phys. - 2016. - Vol. 9, Is. 4. - P404-415, DOI 10.17516/1997-1397-2016-9-4-404-415
. - ISSN 1997-1397
Кл.слова (ненормированные):
Interface -- Mathematical modeling -- Numerical experiments -- Thermocapillarity
Аннотация: Two-dimensional creeping motion of three immiscible, incompressible viscous fluids in a flat channel bounded by fixed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by finite analytic formulas obtained by Laplace transform in images. The evolution of the velocity fields to the stationary regime for specific liquids is obtained by the numerical inversion of Laplace transformation. © Siberian Federal University. All rights reserved.
Scopus,
Смотреть статью,
WOS
Держатели документа:
Institute of computational modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, Russian Federation
Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Andreev, V. K.; Cheremnykh, E. N.
Кл.слова (ненормированные):
Interface -- Mathematical modeling -- Numerical experiments -- Thermocapillarity
Аннотация: Two-dimensional creeping motion of three immiscible, incompressible viscous fluids in a flat channel bounded by fixed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by finite analytic formulas obtained by Laplace transform in images. The evolution of the velocity fields to the stationary regime for specific liquids is obtained by the numerical inversion of Laplace transformation. © Siberian Federal University. All rights reserved.
Scopus,
Смотреть статью,
WOS
Держатели документа:
Institute of computational modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, Russian Federation
Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Andreev, V. K.; Cheremnykh, E. N.
2D Thermocapillary Motion of Three Fluids in a Flat Channel
: статья / Victor K. Andreev, Elena N. Cheremnykh // Журнал Сибирского федерального университета. Серия: Математика и физика. - 2016. - Т. 9, № 4. - P404-415, DOI 10.17516/1997-1397-2016-9-4-404-415
. - ISSN 1997-1397
Перевод заглавия: Двумерное термокапиллярное движение трех жидкостей в плоском канале
Кл.слова (ненормированные):
thermocapillarity -- interface -- mathematical modeling -- numerical experiments -- термокапиллярность -- поверхность раздела -- математическое моделирование -- численные эксперименты
Аннотация: Two-dimensional creeping motion of three immiscible, incompressible viscous ?uids in a ?at channel bounded by ?xed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by ?nite analytic formulas obtained by Laplace transform in images. The evolution of the velocity ?eldstothe stationaryregimeforspeci?c liquidsis obtainedbythe numerical inversionofLaplace transformation.
Исследовано двумерное ползущее движение трех несмешивающихся несжимаемых вязких теплопроводных жидкостей в плоском канале, ограниченном твердыми неподвижными стенками, на которых известнораспределение температур.Вобразах по Лапласу построено точное нестационарное решение в виде квадратур и приведены некоторые численные результаты поведения полей скоростей и температур в слоях.
РИНЦ,
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Держатели документа:
Institute of computational modelling SB RAS
Institute of Mathematics and Computer Science Siberian Federal University
Доп.точки доступа:
Cheremnykh, E. N.; Черемных, Елена Николаевна; Андреев, Виктор Константинович
Перевод заглавия: Двумерное термокапиллярное движение трех жидкостей в плоском канале
| УДК |
Кл.слова (ненормированные):
thermocapillarity -- interface -- mathematical modeling -- numerical experiments -- термокапиллярность -- поверхность раздела -- математическое моделирование -- численные эксперименты
Аннотация: Two-dimensional creeping motion of three immiscible, incompressible viscous ?uids in a ?at channel bounded by ?xed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by ?nite analytic formulas obtained by Laplace transform in images. The evolution of the velocity ?eldstothe stationaryregimeforspeci?c liquidsis obtainedbythe numerical inversionofLaplace transformation.
Исследовано двумерное ползущее движение трех несмешивающихся несжимаемых вязких теплопроводных жидкостей в плоском канале, ограниченном твердыми неподвижными стенками, на которых известнораспределение температур.Вобразах по Лапласу построено точное нестационарное решение в виде квадратур и приведены некоторые численные результаты поведения полей скоростей и температур в слоях.
РИНЦ,
WOS,
Смотреть статью
Держатели документа:
Institute of computational modelling SB RAS
Institute of Mathematics and Computer Science Siberian Federal University
Доп.точки доступа:
Cheremnykh, E. N.; Черемных, Елена Николаевна; Андреев, Виктор Константинович
Two Dimensional Thermocapillary Motion of Immiscible Viscous Liquids in Layer
[Text] : abstract / V. K. Andreev // Book of Abstracts International Symposium and School for Young Scientists «Interfacial Phenomena and Heat Transfer». - Novosibirsk : Kutateladze Institute of thermophysics SB RAS, 2016. - P70
Доп.точки доступа:
Андреев, Виктор Константинович
Доп.точки доступа:
Андреев, Виктор Константинович
Thermocapillary flows and their stability in pure fluids and binary mixtures
[Text] : abstract / I. I. Ryzhkov // Book of Abstracts International Symposium and School for Young Scientists «Interfacial Phenomena and Heat Transfer». - Novosibirsk : Kutateladze Institute of thermophysics SB RAS, 2016. - P64-65
Доп.точки доступа:
Рыжков, Илья Игоревич
Доп.точки доступа:
Рыжков, Илья Игоревич
Instability of thermocapillary-buoyancy convection in weakly evaporating liquid
[Text] : abstract / V. Yasnou [et al.] // Abstracts of IMA8 - 8th Conference of the International Marangoni Association. - 2016. - P87
Доп.точки доступа:
Yasnou, V.; Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Mialdun, A.; Shevtsova, V.
Доп.точки доступа:
Yasnou, V.; Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Mialdun, A.; Shevtsova, V.
Stability of Two-Layer Fluid Flows with Evaporation at the Interface
/ V. B. Bekezhanova [et al.] // Fluid Dyn. - 2017. - Vol. 52, Is. 2. - P189-200, DOI 10.1134/S001546281702003X. - Cited References:23. - The work received financial support from RFBR (No. 14-08-00163).
. - ISSN 0015-4628. - ISSN 1573-8507
РУБ Mechanics + Physics, Fluids & Plasmas
Аннотация: The problem of stability of two-layer (fluid-gas) flows with account of evaporation at the thermocapillary interface is studied under the condition of a fixed gas flow rate. In the upper gas-vapor layer, the Dufour effect is taken into account. A novel exact solution of the Navier-Stokes equations in the Boussinesq approximation is constructed. The effects of longitudinal temperature gradients, gravity, thicknesses of the gas and fluid layers, and the gas flow rate on the flow structure, the onset of recirculated flows near the interface, the evaporation rate, and the properties of characteristic disturbances are investigated.
WOS,
Смотреть статью,
Scopus
Держатели документа:
Russian Acad Sci, Siberian Branch, Inst Computat Modelling, Akademgorodok 50,Str 44, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Inst Math & Fundamental Informat, Pr Svobodnyi 79, Krasnoyarsk 660041, Russia.
Russian Acad Sci, Siberian Branch, Kutateladze Inst Thermophys, Pr Akad Lavrenteva 1, Novosibirsk 630090, Russia.
Altai State Univ, Pr Lenina 61a, Barnaul 656049, Russia.
Доп.точки доступа:
Goncharova, O. N.; Rezanova, E. B.; Shefer, I. A.; Бекежанова, Виктория Бахытовна; RFBR [14-08-00163]
Рубрики:
LIQUID
FILM
Кл.слова (ненормированные):
two-layer flow -- exact solution -- thermocapillary interface -- stability
LIQUID
FILM
Кл.слова (ненормированные):
two-layer flow -- exact solution -- thermocapillary interface -- stability
Аннотация: The problem of stability of two-layer (fluid-gas) flows with account of evaporation at the thermocapillary interface is studied under the condition of a fixed gas flow rate. In the upper gas-vapor layer, the Dufour effect is taken into account. A novel exact solution of the Navier-Stokes equations in the Boussinesq approximation is constructed. The effects of longitudinal temperature gradients, gravity, thicknesses of the gas and fluid layers, and the gas flow rate on the flow structure, the onset of recirculated flows near the interface, the evaporation rate, and the properties of characteristic disturbances are investigated.
WOS,
Смотреть статью,
Scopus
Держатели документа:
Russian Acad Sci, Siberian Branch, Inst Computat Modelling, Akademgorodok 50,Str 44, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Inst Math & Fundamental Informat, Pr Svobodnyi 79, Krasnoyarsk 660041, Russia.
Russian Acad Sci, Siberian Branch, Kutateladze Inst Thermophys, Pr Akad Lavrenteva 1, Novosibirsk 630090, Russia.
Altai State Univ, Pr Lenina 61a, Barnaul 656049, Russia.
Доп.точки доступа:
Goncharova, O. N.; Rezanova, E. B.; Shefer, I. A.; Бекежанова, Виктория Бахытовна; RFBR [14-08-00163]
On the inverse problem of a creeping motion in thin layers
/ V. Andreev // CEUR Workshop Proceedings : CEUR-WS, 2017. - Vol. 1839: 2016 International Conference Mathematical and Information Technologies, MIT 2016 (28 August 2016 through 5 September 2016, ) Conference code: 127940. - P258-270
. -
Кл.слова (ненормированные):
A priori estimates -- Asymptotic behaviour -- Conjugate initial-boundary value problem -- Numerical simulation -- Thermocapillarity -- Boundary value problems -- Capillary flow -- Computer simulation -- Estimation -- Initial value problems -- Laplace transforms -- Nonlinear equations -- A-priori estimates -- Asymptotic behaviour -- Immiscible liquids -- Initial-boundary value problems -- Invariant solutions -- Numerical results -- Thermo-capillary forces -- Thermocapillarity -- Inverse problems
Аннотация: The new partially invariant solution of two-dimential motions of heated viscous liquid equations is considered. For factor-system arised the initial boundary value problem is formulated. This problem is inverse one and describing of common motion of two immiscible liquids in a plane channel under the action of thermocapillary forces. As Marangoni number is small (so-called creeping flow) the problem becomes the linear one. Some a priori estimates are obtained and input data conditions when solution tends to stationary one are found. In Laplace transforms the exact solution is obtained as quadratures and some numerical results of velocities behavior in layers are presented.
Scopus
Держатели документа:
Institute Computational Modelling SB RAS, Siberian Federal University, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Andreev, V.
Кл.слова (ненормированные):
A priori estimates -- Asymptotic behaviour -- Conjugate initial-boundary value problem -- Numerical simulation -- Thermocapillarity -- Boundary value problems -- Capillary flow -- Computer simulation -- Estimation -- Initial value problems -- Laplace transforms -- Nonlinear equations -- A-priori estimates -- Asymptotic behaviour -- Immiscible liquids -- Initial-boundary value problems -- Invariant solutions -- Numerical results -- Thermo-capillary forces -- Thermocapillarity -- Inverse problems
Аннотация: The new partially invariant solution of two-dimential motions of heated viscous liquid equations is considered. For factor-system arised the initial boundary value problem is formulated. This problem is inverse one and describing of common motion of two immiscible liquids in a plane channel under the action of thermocapillary forces. As Marangoni number is small (so-called creeping flow) the problem becomes the linear one. Some a priori estimates are obtained and input data conditions when solution tends to stationary one are found. In Laplace transforms the exact solution is obtained as quadratures and some numerical results of velocities behavior in layers are presented.
Scopus
Держатели документа:
Institute Computational Modelling SB RAS, Siberian Federal University, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Andreev, V.