[Текст] : статья / I.I. Ryzhkov // Lournal of Applied Mechanics and Technical Physics. - 2011. - Vol. 52, Iss. 4. - p. 560-570DOI 10.1134/S0021894411040080
. -
Аннотация: A model of vibrational convection of a binary mixture with the thermodiffusion effect is considered. The symmetries of model equations are found, depending on the values of physical parameters. A partially invariant solution, which describes separation of the binary mixture in a thermodiffusion column, is constructed and studied. The influence of streamwise vibrations on the flow regime and separation of the mixture is investigated.
Полный текст на сайте правообладателя
Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна; Рыжков, Илья Игоревич
Труды сотрудников ИВМ СО РАН
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Найдено документов в текущей БД: 25
Group properties and exact solutions of equations for vibrational convection of a binary mixture
Group classification for equations of thermodiffusion in binary mixture
/ I.V. Stepanova // Commun. Nonlinear Sci. Numer. Simul. - 2013. - Vol. 18, Is. 6. - P1341-1346, DOI 10.1016/j.cnsns.2012.10.013. - Cited References: 14. - Author thanks Prof. V.K. Andreev for formulation of the problem and attention to the work. This work is supported by the Integrational Grant No 44 and The Ministry of education and science of Russia, project 14.A18.21.2014.
. - 6. - ISSN 1007-5704
РУБ Mathematics, Applied + Mathematics, Interdisciplinary Applications + Mechanics + Physics, Fluids & Plasmas + Physics, Mathematical
Кл.слова (ненормированные):
Lie symmetry analysis -- Group classification -- Equivalence transformations -- Thermodiffusion -- Binary mixture -- Transport coefficients
Аннотация: Group classification problem is solved for equations of motion of a binary mixture under the buoyancy force and thermodiffusion effect. These equations are parameterized by five arbitrary functions of two arguments. The admissible Lie symmetry algebras of generators are found depending on arbitrary elements. These results are useful for analytical and numerical modeling of the convection in binary mixtures. (C) 2012 Elsevier B. V. All rights reserved.
Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна
Кл.слова (ненормированные):
Lie symmetry analysis -- Group classification -- Equivalence transformations -- Thermodiffusion -- Binary mixture -- Transport coefficients
Аннотация: Group classification problem is solved for equations of motion of a binary mixture under the buoyancy force and thermodiffusion effect. These equations are parameterized by five arbitrary functions of two arguments. The admissible Lie symmetry algebras of generators are found depending on arbitrary elements. These results are useful for analytical and numerical modeling of the convection in binary mixtures. (C) 2012 Elsevier B. V. All rights reserved.
Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна
The IVIDIL experiment onboard the ISS: Thermodiffusion in the presence of controlled vibrations
[Text] : статья / V. Shevtsova [et al.] // Comptes Rendus Mécanique. - 2011. - Vol. 339, Iss. 5. - p. 310–317DOI 10.1016/j.crme.2011.03.007
. -
Кл.слова (ненормированные):
Diffusion -- Thermodiffusion -- Soret effect -- Vibrations -- Microgravity -- Experiment -- Interferometry
Аннотация: The IVIDIL (Influence of VIbrations on DIffusion in Liquids) experiment was aimed at utilizing the International Space Station for investigating the effects of vibrations on liquid diffusion and thermodiffusion. The SODI-IVIDIL project of ESA is gathering together European, Canadian and Russian researchers with complementary skills to prepare and carry out the experiment, to process the raw data and perform numerical modeling of the phenomena. The experiment IVIDIL started on the October 5, 2009. In total 55 experimental runs were successfully completed by 20 January, 2010. A general description of the ISS facility related to the diffusion experiments and accessible for European researchers is briefly presented and some details about IVIDIL instrument are given. The scientific interest of this short article is focused on one of the objectives of the experiment: performing precise measurements of diffusion and thermodiffusion coefficients for binary mixtures in the absence of gravity. We demonstrate possibility of the experimental environment and report on the first results related to measurements of mass transport coefficients in the mixture with the negative Soret effect: 10% isopropanol (IPA)–90% water.
Полный текст на сайте правообладателя
Доп.точки доступа:
Shevtsova, V.; Mialdun, A.; Melnikov, D.; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Saghir, Z.; Lyubimova, T.; Legros, J.C.
Кл.слова (ненормированные):
Diffusion -- Thermodiffusion -- Soret effect -- Vibrations -- Microgravity -- Experiment -- Interferometry
Аннотация: The IVIDIL (Influence of VIbrations on DIffusion in Liquids) experiment was aimed at utilizing the International Space Station for investigating the effects of vibrations on liquid diffusion and thermodiffusion. The SODI-IVIDIL project of ESA is gathering together European, Canadian and Russian researchers with complementary skills to prepare and carry out the experiment, to process the raw data and perform numerical modeling of the phenomena. The experiment IVIDIL started on the October 5, 2009. In total 55 experimental runs were successfully completed by 20 January, 2010. A general description of the ISS facility related to the diffusion experiments and accessible for European researchers is briefly presented and some details about IVIDIL instrument are given. The scientific interest of this short article is focused on one of the objectives of the experiment: performing precise measurements of diffusion and thermodiffusion coefficients for binary mixtures in the absence of gravity. We demonstrate possibility of the experimental environment and report on the first results related to measurements of mass transport coefficients in the mixture with the negative Soret effect: 10% isopropanol (IPA)–90% water.
Полный текст на сайте правообладателя
Доп.точки доступа:
Shevtsova, V.; Mialdun, A.; Melnikov, D.; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Saghir, Z.; Lyubimova, T.; Legros, J.C.
Influence vibration on diffusion and thermodiffusion in liquids: IVIDIL experiment on the ISS
[Text] : тезисы / V.Shevtsova [et al.] // Abstracts of 4-th Int. symp. on Physical Sciences in Space. - 2011. - p. 36
Доп.точки доступа:
Shevtsova, V.; Sechenyh, V.; Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Melnikov, D.; Mialdun, A.; Mazzoni, S.
Доп.точки доступа:
Shevtsova, V.; Sechenyh, V.; Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Melnikov, D.; Mialdun, A.; Mazzoni, S.
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]
Experimental and numerical analysis of mass transfer in a binary mixture with Soret effect in the presence of weak convection
[Text] / Y. . Gaponenko, A. . Mialdun, V. . Shevtsova // Eur. Phys. J. E. - 2014. - Vol. 37, Is. 10. - Ст. 90, DOI 10.1140/epje/i2014-14090-5. - Cited References: 18. - This work is supported by the PRODEX programme of the Belgian Federal Science Policy Office and ESA.
. - ISSN 1292-8941. - ISSN 1292-895X
РУБ Chemistry, Physical + Materials Science, Multidisciplinary + Physics, Applied + Polymer Science
Аннотация: One of the targets of the experiment IVIDIL (Influence Vibrations on Diffusion in Liquids) conducted on-board ISS was to study the response of binary mixtures to vibrational forcing when the density gradient results from thermal and compositional variations. Compositional variations were created by the Soret effect and can strengthen or weaken the overall density gradient and, consequently, the response to vibrational forcing. We present the results of two experimental runs conducted on-board ISS in the frame of the experiment IVIDIL for low and strong vibrational forcing. The experimental observations revealed that a significant mean flow is set within 2 minutes after imposing vibrations and later in time it varies weakly and slowly due to the Soret effect. A mathematical model has been developed to compute the thermal and concentration fields in the experiment IVIDIL and verify the accuracy of picture processing based on the classical approach used in non-convective systems with the Soret effect. The effect of temperature and concentrations perturbations by joint action of vibrational convection and Soret effect on long time scale are carefully examined. The model demonstrates that image processing used for non-convective systems is suitable for the systems with vibration-affected thermodiffusion experiment.
WOS
Держатели документа:
[Gaponenko, Y.
Mialdun, A.
Shevtsova, V.] Univ Libre Bruxelles, MRC, EP CP 165 62, B-1050 Brussels, Belgium
[Gaponenko, Y.] Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Доп.точки доступа:
Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Mialdun, A.; Shevtsova, V.; PRODEX programme of the Belgian Federal Science Policy Office; ESA
Аннотация: One of the targets of the experiment IVIDIL (Influence Vibrations on Diffusion in Liquids) conducted on-board ISS was to study the response of binary mixtures to vibrational forcing when the density gradient results from thermal and compositional variations. Compositional variations were created by the Soret effect and can strengthen or weaken the overall density gradient and, consequently, the response to vibrational forcing. We present the results of two experimental runs conducted on-board ISS in the frame of the experiment IVIDIL for low and strong vibrational forcing. The experimental observations revealed that a significant mean flow is set within 2 minutes after imposing vibrations and later in time it varies weakly and slowly due to the Soret effect. A mathematical model has been developed to compute the thermal and concentration fields in the experiment IVIDIL and verify the accuracy of picture processing based on the classical approach used in non-convective systems with the Soret effect. The effect of temperature and concentrations perturbations by joint action of vibrational convection and Soret effect on long time scale are carefully examined. The model demonstrates that image processing used for non-convective systems is suitable for the systems with vibration-affected thermodiffusion experiment.
WOS
Держатели документа:
[Gaponenko, Y.
Mialdun, A.
Shevtsova, V.] Univ Libre Bruxelles, MRC, EP CP 165 62, B-1050 Brussels, Belgium
[Gaponenko, Y.] Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Доп.точки доступа:
Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Mialdun, A.; Shevtsova, V.; PRODEX programme of the Belgian Federal Science Policy Office; ESA
Benchmark values for the Soret, thermodiffusion and molecular diffusion coefficients of the ternary mixture tetralin+isobutylbenzene+n-dodecane with 0.8-0.1-0.1 mass fraction
/ M. M. Bou-Ali [et al.] // Eur. Phys. J. E. - 2015. - Vol. 38, Is. 4, DOI 10.1140/epje/i2015-15030-7
. - ISSN 1292-8941
Кл.слова (ненормированные):
Topical Issue: Thermal non-equilibrium phenomena in multi-component fluids -- Benzene -- Diffusion in liquids -- Diffusion in solids -- Eigenvalues and eigenfunctions -- Microgravity -- Microgravity processing -- Mixtures -- Thermal diffusion -- Thermal diffusion in liquids -- Digital interferometries -- Experimental techniques -- Microgravity conditions -- Molecular diffusion coefficient -- Multicomponent fluid -- Optical beam deflection -- Optical diagnostics -- Taylor dispersion technique -- Diffusion
Аннотация: Abstract: With the aim of providing reliable benchmark values, we have measured the Soret, thermodiffusion and molecular diffusion coefficients for the ternary mixture formed by 1,2,3,4-tetrahydronaphthalene, isobutylbenzene and n-dodecane for a mass fraction of 0.8-0.1-0.1 and at a temperature of 25°C. The experimental techniques used by the six participating laboratories are Optical Digital Interferometry, Taylor Dispersion technique, Open Ended Capillary, Optical Beam Deflection, Thermogravitational technique and Sliding Symmetric Tubes technique in ground conditions and Selectable Optical Diagnostic Instrument (SODI) in microgravity conditions. The measurements obtained in the SODI installation have been analyzed independently by four laboratories. Benchmark values are proposed for the thermodiffusion and Soret coefficients and for the eigenvalues of the diffusion matrix in ground conditions, and for Soret coefficients in microgravity conditions. Graphical abstract: [Figure not available: see fulltext.]. © 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Scopus
Держатели документа:
Mechanical and Industrial Manufacturing Department, MGEP Mondragon Goi Eskola Politeknikoa, Loramendi 4 Apdo 23Mondragon, Spain
Dept. of Mechanical and industrial Engineering, Ryerson UniversityToronto, Canada
MRC, EP CP 165/62, Universite libre de Bruxelles (ULB)Brussels, Belgium
Physikalisches Institut, Universitat BayreuthBayreuth, Germany
Institute of Continuous Media Mechanics UB RASPerm, Russian Federation
Institute of Computational Modelling SB RASKrasnoyarsk, Russian Federation
Доп.точки доступа:
Bou-Ali, M.M.; Ahadi, A.; Alonso de Mezquia, D.; Galand, Q.; Gebhardt, M.; Khlybov, O.; Kohler, W.; Larranaga, M.; Legros, J.C.; Lyubimova, T.; Mialdun, A.; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Saghir, M.Z.; Shevtsova, V.; Van Vaerenbergh, S.
Кл.слова (ненормированные):
Topical Issue: Thermal non-equilibrium phenomena in multi-component fluids -- Benzene -- Diffusion in liquids -- Diffusion in solids -- Eigenvalues and eigenfunctions -- Microgravity -- Microgravity processing -- Mixtures -- Thermal diffusion -- Thermal diffusion in liquids -- Digital interferometries -- Experimental techniques -- Microgravity conditions -- Molecular diffusion coefficient -- Multicomponent fluid -- Optical beam deflection -- Optical diagnostics -- Taylor dispersion technique -- Diffusion
Аннотация: Abstract: With the aim of providing reliable benchmark values, we have measured the Soret, thermodiffusion and molecular diffusion coefficients for the ternary mixture formed by 1,2,3,4-tetrahydronaphthalene, isobutylbenzene and n-dodecane for a mass fraction of 0.8-0.1-0.1 and at a temperature of 25°C. The experimental techniques used by the six participating laboratories are Optical Digital Interferometry, Taylor Dispersion technique, Open Ended Capillary, Optical Beam Deflection, Thermogravitational technique and Sliding Symmetric Tubes technique in ground conditions and Selectable Optical Diagnostic Instrument (SODI) in microgravity conditions. The measurements obtained in the SODI installation have been analyzed independently by four laboratories. Benchmark values are proposed for the thermodiffusion and Soret coefficients and for the eigenvalues of the diffusion matrix in ground conditions, and for Soret coefficients in microgravity conditions. Graphical abstract: [Figure not available: see fulltext.]. © 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Scopus
Держатели документа:
Mechanical and Industrial Manufacturing Department, MGEP Mondragon Goi Eskola Politeknikoa, Loramendi 4 Apdo 23Mondragon, Spain
Dept. of Mechanical and industrial Engineering, Ryerson UniversityToronto, Canada
MRC, EP CP 165/62, Universite libre de Bruxelles (ULB)Brussels, Belgium
Physikalisches Institut, Universitat BayreuthBayreuth, Germany
Institute of Continuous Media Mechanics UB RASPerm, Russian Federation
Institute of Computational Modelling SB RASKrasnoyarsk, Russian Federation
Доп.точки доступа:
Bou-Ali, M.M.; Ahadi, A.; Alonso de Mezquia, D.; Galand, Q.; Gebhardt, M.; Khlybov, O.; Kohler, W.; Larranaga, M.; Legros, J.C.; Lyubimova, T.; Mialdun, A.; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Saghir, M.Z.; Shevtsova, V.; Van Vaerenbergh, S.
Symmetry analysis of nonlinear heat and mass transfer equations under Soret effect
/ I. V. Stepanova // Comm. Nonlinear Sci. Numer. Simul. - 2015. - Vol. 20, Is. 3. - P684-691, DOI 10.1016/j.cnsns.2014.06.043
. - ISSN 1007-5704
Кл.слова (ненормированные):
Exact solutions -- Group classification problem -- Lie symmetry analysis -- Thermodiffusion equations -- Transport coefficients -- Exact solution -- Group classification -- Lie symmetry analysis -- Thermodiffusion -- Transport coefficient
Аннотация: Three-dimensional equations describing heat and mass transfer in fluid mixtures with variable transport coefficients are studied. Using Lie group theory the forms of unknown thermal diffusivity, diffusion and thermal diffusion coefficients are found. The symmetries of the governing equations are calculated. It is shown that cases of Lie symmetry extension arise when arbitrary elements have the power-law, logarithmic and exponential dependencies on temperature and concentration. An exact solution is constructed for the case of linear dependence of diffusion and thermodiffusion coefficients on temperature. The solution demonstrates differences in concentration distribution in comparison with the same distribution under constant transport coefficients in the governing equations. © 2014 Elsevier B.V.
Scopus
Держатели документа:
Institute of Computational Modeling SB RAS, 50/44, Krasnoyarsk, Akademgorodok, Russian Federation
Доп.точки доступа:
Stepanova, I. V.
Кл.слова (ненормированные):
Exact solutions -- Group classification problem -- Lie symmetry analysis -- Thermodiffusion equations -- Transport coefficients -- Exact solution -- Group classification -- Lie symmetry analysis -- Thermodiffusion -- Transport coefficient
Аннотация: Three-dimensional equations describing heat and mass transfer in fluid mixtures with variable transport coefficients are studied. Using Lie group theory the forms of unknown thermal diffusivity, diffusion and thermal diffusion coefficients are found. The symmetries of the governing equations are calculated. It is shown that cases of Lie symmetry extension arise when arbitrary elements have the power-law, logarithmic and exponential dependencies on temperature and concentration. An exact solution is constructed for the case of linear dependence of diffusion and thermodiffusion coefficients on temperature. The solution demonstrates differences in concentration distribution in comparison with the same distribution under constant transport coefficients in the governing equations. © 2014 Elsevier B.V.
Scopus
Держатели документа:
Institute of Computational Modeling SB RAS, 50/44, Krasnoyarsk, Akademgorodok, Russian Federation
Доп.точки доступа:
Stepanova, I. V.
Unidirectional flows of binary mixtures within the framework of the Oberbeck-Boussinesq model
[Text] / V. K. Andreev, I. V. Stepanova // Fluid Dyn. - 2016. - Vol. 51, Is. 2. - P136-147, DOI 10.1134/S0015462816020022. - Cited References:17. - The work was supported financially by the Russian Foundation for Basic Research (project No. 14-01-00067).
. - ISSN 0015-4628. - ISSN 1573-8507
РУБ Mechanics + Physics, Fluids & Plasmas
Кл.слова (ненормированные):
Oberbeck-Boussinesq model -- thermodiffusion -- unidirectional flow -- binary -- mixture
Аннотация: Existence conditions are investigated for the unidirectional flows of binary mixtures describable by the equations of motion in the Oberbeck-Boussinesq approximation with account for the thermodiffusion effect. Possible solutions are classified, known and novel classes of exact solutions being distinguished. For the solutions obtained different formulations of boundary-value problems are proposed. Flows between two rigid walls with given heat distribution laws are described.
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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.
Доп.точки доступа:
Andreev, V. K.; Stepanova, I. V.; Russian Foundation for Basic Research [14-01-00067]
Кл.слова (ненормированные):
Oberbeck-Boussinesq model -- thermodiffusion -- unidirectional flow -- binary -- mixture
Аннотация: Existence conditions are investigated for the unidirectional flows of binary mixtures describable by the equations of motion in the Oberbeck-Boussinesq approximation with account for the thermodiffusion effect. Possible solutions are classified, known and novel classes of exact solutions being distinguished. For the solutions obtained different formulations of boundary-value problems are proposed. Flows between two rigid walls with given heat distribution laws are described.
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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.
Доп.точки доступа:
Andreev, V. K.; Stepanova, I. V.; Russian Foundation for Basic Research [14-01-00067]
Processing of DCMIX–1 space experiment data on measurement of diffusion and Soret coefficients in ternary mixtures
[Text] : abstract / I. I. Ryzhkov [et al.] // 12th International Meeting on Thermodiffusion : book of abstracts. - Madrid, 2016. - P103
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Shilenko, A.V.; Khlybov, O.A.; Lyubimova, T.P.
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Shilenko, A.V.; Khlybov, O.A.; Lyubimova, T.P.
Steady and transient thermal diffusion separation in binary mixtures and its stability
[Text] : abstract / I. I. Ryzhkov, A. V. Minakov // 12th International Meeting on Thermodiffusion : book of abstracts. - Madrid, 2016. - P74
Доп.точки доступа:
Minakov, A.V.; Минаков, Андрей Викторович; Рыжков, Илья Игоревич
Доп.точки доступа:
Minakov, A.V.; Минаков, Андрей Викторович; Рыжков, Илья Игоревич
Steady–state and transient multicomponent mixture separation in a cylindrical thermogravitational column
[Text] : abstract / S. V. Kozlova, I. I. Ryzhkov // 12th International Meeting on Thermodiffusion : book of abstracts. - Madrid, 2016. - P76
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Козлова, Софья Владимировна
Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Козлова, Софья Владимировна
Analysis of diffusion coefficients of ternary mixtures in different reference frames
[Text] : abstract / S. V. Kozlova [et al.] // 12th International Meeting on Thermodiffusion : book of abstracts. - Madrid, 2016. - P105
Доп.точки доступа:
Kozlova, S.V.; Козлова, Софья Владимировна; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Mialdun, A.; Shevtsova, V.
Доп.точки доступа:
Kozlova, S.V.; Козлова, Софья Владимировна; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Mialdun, A.; Shevtsova, V.
Mutual diffusion in the ternary mixture of water + methanol + ethanol: experiment and molecular simulation
[Text] : abstract / Y. Gaponenko [et al.] // 12th International Meeting on Thermodiffusion : book of abstracts. - Madrid, 2016. - P24
Доп.точки доступа:
Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Guevara-Carrion, G.; Janzen, T.; Vrabec, J.; Shevtsova, V.
Доп.точки доступа:
Gaponenko, Y.; Гапоненко, Юрий Анатольевич; Guevara-Carrion, G.; Janzen, T.; Vrabec, J.; Shevtsova, V.
Thermodiffusion in Ternary Mixtures of Water/Ethanol/Triethylene Glycol: First Report on the DCMIX3-Experiments Performed on the International Space Station
/ T. Triller [et al.] // Microgravity Sci Technol. - 2018. - P1-14, DOI 10.1007/s12217-018-9598-5
. - ISSN 0938-0108
Кл.слова (ненормированные):
Diffusion -- Microgravity experiments -- Soret effect -- Ternary mixtures -- Thermodiffusion -- Diffusion -- Glycols -- Interferometry -- Microgravity -- Microgravity processing -- Mixtures -- Space stations -- International Space stations -- Microgravity experiments -- Microgravity science glovebox -- Phase-stepping interferometry -- Soret effects -- Ternary mixtures -- Thermodiffusion -- Thermodiffusion coefficients -- Thermal diffusion in liquids
Аннотация: We report on thermodiffusion experiments conducted on the International Space Station ISS during fall 2016. These experiments are part of the DCMIX (Diffusion and thermodiffusion Coefficients Measurements in ternary Mixtures) project, which aims at establishing a reliable data base of non-isothermal transport coefficients for selected ternary liquid mixtures. The third campaign, DCMIX3, focuses on aqueous systems with water/ethanol/triethylene glycol as an example, where sign changes of the Soret coefficient have already been reported for certain binary subsystems. Investigations have been carried out with the SODI (Selectable Optical Diagnostics Instrument) instrument, a Mach-Zehnder interferometer set up inside the Microgravity Science Glovebox in the Destiny Module of the ISS. Concentration changes within the liquids have been monitored in response to an external temperature gradient using phase-stepping interferometry. The complete data set has been made available in spring 2017. Due to additionally available measurement time, it was possible to collect a complete data set at 30?C and an almost complete data set at 25?C, which significantly exceeds the originally envisaged measurements at a single temperature only. All samples could be measured successfully. The SODI instrument and the DCMIX experiments have proven reliable and robust, allowing to extract meaningful data even in case of unforeseen laser instabilities. First assessments of the data quality have revealed six out of 31 runs with some problems in image contrast and/or phase step stability that will require more sophisticated algorithms. This publication documents all relevant parameters of the conducted experiments and also events that might have an influence on the final results. The compiled information is intended to serve as a starting point for all following data evaluations. © 2018 Springer Science+Business Media B.V., part of Springer Nature
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Держатели документа:
Physikalisches Institut, Universitat Bayreuth, Bayreuth, Germany
Laboratoire des Fluides Complexes et leurs Reservoirs, UMR-5150, E2S - Univ Pau & Pays Adour / CNRS / TOTAL, 1 Allee du Parc Montaury, Anglet, France
Mechanical and Industrial Manufacturing Department, MGEP Mondragon Goi Eskola Politeknikoa, Mondragon, Spain
ESA-Estec, Noordwijk, Netherlands
Universidad Politecnica de Madrid, Madrid, Spain
MRC, CP165/62, Universite libre de Bruxelles, Av. F.D. Roosevelt, 50, Brussels, Belgium
Department of Quimica Fisica i Inorganica, Universitat Rovira i Virgili, Tarragona, Spain
Institute of Continuous Media Mechanics UB RAS, Perm, Russian Federation
Departamento de Fisica Aplicada I, Facultad de Fisica, Universidad Complutense, Madrid, Spain
Institute of Computational Modelling SB RAS, Federal Research Center KSC SB RAS, Akademgorodok, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Triller, T.; Bataller, H.; Bou-Ali, M. M.; Braibanti, M.; Croccolo, F.; Ezquerro, J. M.; Galand, Q.; Gavalda, J.; Lapeira, E.; Laveron-Simavilla, A.; Lyubimova, T.; Mialdun, A.; Zarate, J. M.O.D.; Rodriguez, J.; Ruiz, X.; Ryzhkov, I. I.; Shevtsova, V.; Vaerenbergh, S. V.; Kohler, W.
Кл.слова (ненормированные):
Diffusion -- Microgravity experiments -- Soret effect -- Ternary mixtures -- Thermodiffusion -- Diffusion -- Glycols -- Interferometry -- Microgravity -- Microgravity processing -- Mixtures -- Space stations -- International Space stations -- Microgravity experiments -- Microgravity science glovebox -- Phase-stepping interferometry -- Soret effects -- Ternary mixtures -- Thermodiffusion -- Thermodiffusion coefficients -- Thermal diffusion in liquids
Аннотация: We report on thermodiffusion experiments conducted on the International Space Station ISS during fall 2016. These experiments are part of the DCMIX (Diffusion and thermodiffusion Coefficients Measurements in ternary Mixtures) project, which aims at establishing a reliable data base of non-isothermal transport coefficients for selected ternary liquid mixtures. The third campaign, DCMIX3, focuses on aqueous systems with water/ethanol/triethylene glycol as an example, where sign changes of the Soret coefficient have already been reported for certain binary subsystems. Investigations have been carried out with the SODI (Selectable Optical Diagnostics Instrument) instrument, a Mach-Zehnder interferometer set up inside the Microgravity Science Glovebox in the Destiny Module of the ISS. Concentration changes within the liquids have been monitored in response to an external temperature gradient using phase-stepping interferometry. The complete data set has been made available in spring 2017. Due to additionally available measurement time, it was possible to collect a complete data set at 30?C and an almost complete data set at 25?C, which significantly exceeds the originally envisaged measurements at a single temperature only. All samples could be measured successfully. The SODI instrument and the DCMIX experiments have proven reliable and robust, allowing to extract meaningful data even in case of unforeseen laser instabilities. First assessments of the data quality have revealed six out of 31 runs with some problems in image contrast and/or phase step stability that will require more sophisticated algorithms. This publication documents all relevant parameters of the conducted experiments and also events that might have an influence on the final results. The compiled information is intended to serve as a starting point for all following data evaluations. © 2018 Springer Science+Business Media B.V., part of Springer Nature
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Держатели документа:
Physikalisches Institut, Universitat Bayreuth, Bayreuth, Germany
Laboratoire des Fluides Complexes et leurs Reservoirs, UMR-5150, E2S - Univ Pau & Pays Adour / CNRS / TOTAL, 1 Allee du Parc Montaury, Anglet, France
Mechanical and Industrial Manufacturing Department, MGEP Mondragon Goi Eskola Politeknikoa, Mondragon, Spain
ESA-Estec, Noordwijk, Netherlands
Universidad Politecnica de Madrid, Madrid, Spain
MRC, CP165/62, Universite libre de Bruxelles, Av. F.D. Roosevelt, 50, Brussels, Belgium
Department of Quimica Fisica i Inorganica, Universitat Rovira i Virgili, Tarragona, Spain
Institute of Continuous Media Mechanics UB RAS, Perm, Russian Federation
Departamento de Fisica Aplicada I, Facultad de Fisica, Universidad Complutense, Madrid, Spain
Institute of Computational Modelling SB RAS, Federal Research Center KSC SB RAS, Akademgorodok, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Triller, T.; Bataller, H.; Bou-Ali, M. M.; Braibanti, M.; Croccolo, F.; Ezquerro, J. M.; Galand, Q.; Gavalda, J.; Lapeira, E.; Laveron-Simavilla, A.; Lyubimova, T.; Mialdun, A.; Zarate, J. M.O.D.; Rodriguez, J.; Ruiz, X.; Ryzhkov, I. I.; Shevtsova, V.; Vaerenbergh, S. V.; Kohler, W.
Analysis of the exact solution for the evaporative convection problem and properties of the characteristic perturbations
/ V. B. Bekezhanova, O. N. Goncharova // Int. J. Therm. Sci. - 2018. - Vol. 130. - P323-332, DOI 10.1016/j.ijthermalsci.2018.05.001
. - ISSN 1290-0729
Кл.слова (ненормированные):
Evaporative convection -- Exact solution -- Stability -- Capillary flow -- Convergence of numerical methods -- Flow of gases -- Heat conduction -- Navier Stokes equations -- Boussinesq approximations -- Convection problem -- Exact solution -- Gas-vapor mixture -- Governing equations -- Horizontal channels -- Interface conditions -- Vapor concentrations -- Phase interfaces
Аннотация: The exact solution for the Boussinesq approximation of the Navier – Stokes equations is analytically constructed to describe the joint flow of an evaporating viscous heat-conducting liquid and gas-vapor mixture in an infinite horizontal channel. The effects of thermodiffusion and diffusive heat conductivity in the gas-vapor phase are additionally taken into account in the governing equations and interface conditions. Possible flow types are classified with respect to the types of the boundary conditions for the vapor concentration on the upper solid wall of the channel. The importance of a solution of special type is that it gives a possibility to specify on the qualitative level the physical factors defining the basic flow mechanisms. The constructed solution has the group nature and allows one to describe the real flow regimes and a formation of patterns observed in the experiments. It describes three classes of flows: pure thermocapillary, mixed and Poiseuille flows according to the dominant force or interaction of effects. The stability of the two-layer flows of the liquid and gas-vapor phase is investigated for the equal values of the longitudinal temperature gradients on the channel walls. In this case the perturbations of the basic flow can lead to the formation of the vortex and thermocapillary structures. The influence of the thermal load intensity and gas flow rate on the type of the arising instability is studied. The evolution of the perturbations is investigated numerically. © 2018 Elsevier Masson SAS
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Altai State University, pr Lenina 61, Barnaul, Russian Federation
Institute of Thermophysics SB RAS, Ac. Lavrentieva ave 1, Novosibirsk, Russian Federation
Доп.точки доступа:
Bekezhanova, V. B.; Goncharova, O. N.
Кл.слова (ненормированные):
Evaporative convection -- Exact solution -- Stability -- Capillary flow -- Convergence of numerical methods -- Flow of gases -- Heat conduction -- Navier Stokes equations -- Boussinesq approximations -- Convection problem -- Exact solution -- Gas-vapor mixture -- Governing equations -- Horizontal channels -- Interface conditions -- Vapor concentrations -- Phase interfaces
Аннотация: The exact solution for the Boussinesq approximation of the Navier – Stokes equations is analytically constructed to describe the joint flow of an evaporating viscous heat-conducting liquid and gas-vapor mixture in an infinite horizontal channel. The effects of thermodiffusion and diffusive heat conductivity in the gas-vapor phase are additionally taken into account in the governing equations and interface conditions. Possible flow types are classified with respect to the types of the boundary conditions for the vapor concentration on the upper solid wall of the channel. The importance of a solution of special type is that it gives a possibility to specify on the qualitative level the physical factors defining the basic flow mechanisms. The constructed solution has the group nature and allows one to describe the real flow regimes and a formation of patterns observed in the experiments. It describes three classes of flows: pure thermocapillary, mixed and Poiseuille flows according to the dominant force or interaction of effects. The stability of the two-layer flows of the liquid and gas-vapor phase is investigated for the equal values of the longitudinal temperature gradients on the channel walls. In this case the perturbations of the basic flow can lead to the formation of the vortex and thermocapillary structures. The influence of the thermal load intensity and gas flow rate on the type of the arising instability is studied. The evolution of the perturbations is investigated numerically. © 2018 Elsevier Masson SAS
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Altai State University, pr Lenina 61, Barnaul, Russian Federation
Institute of Thermophysics SB RAS, Ac. Lavrentieva ave 1, Novosibirsk, Russian Federation
Доп.точки доступа:
Bekezhanova, V. B.; Goncharova, O. N.
Influence of Gravity on the Stability of Evaporative Convection Regimes
/ V. B. Bekezhanova, I. A. Shefer // Microgravity Sci Technol. - 2018. - P1-18, DOI 10.1007/s12217-018-9628-3
. - ISSN 0938-0108
Кл.слова (ненормированные):
Characteristic perturbations -- Evaporative convection -- Exact solution -- Stability -- Capillary flow -- Convergence of numerical methods -- Liquids -- Navier Stokes equations -- Stability -- Boussinesq approximations -- Characteristic perturbations -- Convection regime -- Exact solution -- Governing equations -- Horizontal channels -- Interface conditions -- Problem parameters -- Phase interfaces
Аннотация: The characteristics of convective regimes in a two-layer system have been investigated in the framework of the Boussinesq approximation of the Navier–Stokes equations. An exact invariant solution of the convection equations is used to describe a joint stationary flow of an evaporating liquid and a gas-vapor mixture in a horizontal channel. Thermodiffusion effects in the gas-vapor phase are additionally taken into account in the governing equations and interface conditions. The influence of gravity and thickness of the liquid layer on the hydrodynamical, thermal and concentration characteristics of the regimes has been investigated. Flows of the pure thermocapillary, mixed and Poiseuille’s types are specified for different values of the problem parameters. The linear stability of the evaporative convection regimes has been studied. The types and properties of the arising perturbations have been investigated and the critical characteristics of the stability have been obtained. Disturbances can lead to the formation of deformed convective cells, vortex and thermocapillary structures. The change of the instability types and threshold thermal loads occurs with the increasing thickness of the liquid layer and gravity action. © 2018 Springer Science+Business Media B.V., part of Springer Nature
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Держатели документа:
Department of Differential Equations of Mechanics, 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:
Bekezhanova, V. B.; Shefer, I. A.
Кл.слова (ненормированные):
Characteristic perturbations -- Evaporative convection -- Exact solution -- Stability -- Capillary flow -- Convergence of numerical methods -- Liquids -- Navier Stokes equations -- Stability -- Boussinesq approximations -- Characteristic perturbations -- Convection regime -- Exact solution -- Governing equations -- Horizontal channels -- Interface conditions -- Problem parameters -- Phase interfaces
Аннотация: The characteristics of convective regimes in a two-layer system have been investigated in the framework of the Boussinesq approximation of the Navier–Stokes equations. An exact invariant solution of the convection equations is used to describe a joint stationary flow of an evaporating liquid and a gas-vapor mixture in a horizontal channel. Thermodiffusion effects in the gas-vapor phase are additionally taken into account in the governing equations and interface conditions. The influence of gravity and thickness of the liquid layer on the hydrodynamical, thermal and concentration characteristics of the regimes has been investigated. Flows of the pure thermocapillary, mixed and Poiseuille’s types are specified for different values of the problem parameters. The linear stability of the evaporative convection regimes has been studied. The types and properties of the arising perturbations have been investigated and the critical characteristics of the stability have been obtained. Disturbances can lead to the formation of deformed convective cells, vortex and thermocapillary structures. The change of the instability types and threshold thermal loads occurs with the increasing thickness of the liquid layer and gravity action. © 2018 Springer Science+Business Media B.V., part of Springer Nature
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Держатели документа:
Department of Differential Equations of Mechanics, 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:
Bekezhanova, V. B.; Shefer, I. A.
Modeling of three dimensional thermocapillary flows with evaporation at the interface based on the solutions of a special type of the convection equations
/ V. B. Bekezhanova, O. N. Goncharova // Appl. Math. Model. - 2018. - Vol. 62. - P145-162, DOI 10.1016/j.apm.2018.05.021
. - ISSN 0307-904X
Кл.слова (ненормированные):
Evaporative convection -- Exact solution -- Interface -- Capillary flow -- Evaporation -- Heat convection -- Interfaces (materials) -- Liquid sloshing -- Mass transfer -- Thermal conductivity of gases -- Convection process -- Diffusive thermal conductivity -- Exact solution -- Numerical investigations -- Physical experiments -- Rectangular cross-sections -- Thermocapillary convection -- Thermocapillary flow -- Phase interfaces
Аннотация: Theoretical and numerical study of the convection processes, which are accompanied by evaporation/condensation, in the framework of new non-standard problem is largely motivated by new physical experiments. One of the principal questions is to understand the character and to evaluate the degree of influence of particular factors or their combined action on the structure of the joint flows of liquid and gas-vapor mixture. The flow topology is determined by four main mechanisms: natural and thermocapillary convection, tangential stresses and mass transfer due to evaporation at the interface. The mathematical modeling of the fluid flows in an infinite channel with a rectangular cross section is carried out on the basis of the solution of a special type of the convection equations. The effects of thermodiffusion and diffusive thermal conductivity in the gas phase and evaporation at the thermocapillary interface are taken into consideration. Numerical investigations are performed for the liquid – gas (ethanol – nitrogen) system under normal and low gravity. The fluid flows are characterized as translational and progressively rotational motions and can be realized in various forms. © 2018 Elsevier Inc.
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Institute of Thermophysics SB RAS, Ac. Lavrentieva ave 1, Novosibirsk, Russian Federation
Altai State University, pr Lenina 61, Barnaul, Russian Federation
Доп.точки доступа:
Bekezhanova, V. B.; Goncharova, O. N.
Кл.слова (ненормированные):
Evaporative convection -- Exact solution -- Interface -- Capillary flow -- Evaporation -- Heat convection -- Interfaces (materials) -- Liquid sloshing -- Mass transfer -- Thermal conductivity of gases -- Convection process -- Diffusive thermal conductivity -- Exact solution -- Numerical investigations -- Physical experiments -- Rectangular cross-sections -- Thermocapillary convection -- Thermocapillary flow -- Phase interfaces
Аннотация: Theoretical and numerical study of the convection processes, which are accompanied by evaporation/condensation, in the framework of new non-standard problem is largely motivated by new physical experiments. One of the principal questions is to understand the character and to evaluate the degree of influence of particular factors or their combined action on the structure of the joint flows of liquid and gas-vapor mixture. The flow topology is determined by four main mechanisms: natural and thermocapillary convection, tangential stresses and mass transfer due to evaporation at the interface. The mathematical modeling of the fluid flows in an infinite channel with a rectangular cross section is carried out on the basis of the solution of a special type of the convection equations. The effects of thermodiffusion and diffusive thermal conductivity in the gas phase and evaporation at the thermocapillary interface are taken into consideration. Numerical investigations are performed for the liquid – gas (ethanol – nitrogen) system under normal and low gravity. The fluid flows are characterized as translational and progressively rotational motions and can be realized in various forms. © 2018 Elsevier Inc.
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Institute of Thermophysics SB RAS, Ac. Lavrentieva ave 1, Novosibirsk, Russian Federation
Altai State University, pr Lenina 61, Barnaul, Russian Federation
Доп.точки доступа:
Bekezhanova, V. B.; Goncharova, O. N.
517.9
Х 20
Х 20
Характеристики двухслойного течения с испарением в плоском канале при нагреве снизу
[Текст] : статья / Виктория Бахытовна Бекежанова, Ольга Николаевна Гончарова // Известия Алтайского государственного университета. - 2018. - № 4. - С. 56-61, DOI 10.14258/izvasu(2018)4-10
. - ISSN 1561-9443
Перевод заглавия: Characteristics of a Two-Layer Flow with Evaporation in a Plane Channel Subjected to Heating from the Bottom
Кл.слова (ненормированные):
конвективные течения -- испарение -- точные решения -- устойчивость -- спектр характеристических возмущений
Аннотация: Исследуются особенности конвективных режимов, возникающих в двухслойной системе в условиях фазового перехода. Математическая модель для описания испарительной конвекции в бесконечном горизонтальном канале основана на аппроксимации Обербека - Буссинеска уравнений Навье - Стокса и соотношениях на термокапиллярной границе раздела. Точное решение определяющих уравнений - аналог решения Остроумова - Бириха - имеет групповую природу и позволяет учесть одновременное наличие горизонтального и вертикального градиентов температуры и влияние термодиффузионных эффектов (прямого и обратного) в парогазовой смеси и на межфазной границе. Описаны тепловая и топологическая структуры совместных течений испаряющейся жидкости и смеси ее паров с инертным газом, изучены характеристики паросодержания в верхнем слое. В работе приведены новые результаты по исследованию устойчивости изучаемого точного решения уравнений конвекции. Представлены типичные формы возникающих характеристических возмущений в условиях равных продольных температурных градиентов на внешних стенках канала и ненулевого поперечного перепада температуры. Описаны определяющие механизмы, отвечающие за формирование каждого типа структур.
Features of convective regimes arising in a twolayer system with a phase transition are investigated. A mathematical model to describe the evaporative convection in an infinite horizontal channel is based on the Oberbeck - Boussinesq approximation of the Navier - Stokes equations and on the relations on the thermocapillary interface. An exact solution of the governing equations is the Ostroumov - Birikh solution analog. It has a group origination and allows one to take into account simultaneous presence of horizontal and vertical temperature gradients and influence of thermodiffusion effects (direct and inverse) both in the gas-vapor mixture and on the interface. Thermal and topological patterns of the joint flows of an evaporating liquid and a mixture of its vapor with an inert gas are described. Characteristics of vapor quality in the upper layer are studied. New results on stability of the exact solution under given consideration are presented in the paper. Typical forms of arising characteristic perturbations are calculated for the case of equal longitudinal temperature gradients on the external channel walls and of nonzero transversal temperature drop. Governing mechanisms responsible for the formation of each type of the structures are described.
РИНЦ
Держатели документа:
Алтайский государственный университет
Институт вычислительного моделирования СО РАН
Доп.точки доступа:
Бекежанова, Виктория Бахытовна; Bekezhanova V.B.; Гончарова, Ольга Николаевна; Goncharova O.N.
Перевод заглавия: Characteristics of a Two-Layer Flow with Evaporation in a Plane Channel Subjected to Heating from the Bottom
| УДК |
Кл.слова (ненормированные):
конвективные течения -- испарение -- точные решения -- устойчивость -- спектр характеристических возмущений
Аннотация: Исследуются особенности конвективных режимов, возникающих в двухслойной системе в условиях фазового перехода. Математическая модель для описания испарительной конвекции в бесконечном горизонтальном канале основана на аппроксимации Обербека - Буссинеска уравнений Навье - Стокса и соотношениях на термокапиллярной границе раздела. Точное решение определяющих уравнений - аналог решения Остроумова - Бириха - имеет групповую природу и позволяет учесть одновременное наличие горизонтального и вертикального градиентов температуры и влияние термодиффузионных эффектов (прямого и обратного) в парогазовой смеси и на межфазной границе. Описаны тепловая и топологическая структуры совместных течений испаряющейся жидкости и смеси ее паров с инертным газом, изучены характеристики паросодержания в верхнем слое. В работе приведены новые результаты по исследованию устойчивости изучаемого точного решения уравнений конвекции. Представлены типичные формы возникающих характеристических возмущений в условиях равных продольных температурных градиентов на внешних стенках канала и ненулевого поперечного перепада температуры. Описаны определяющие механизмы, отвечающие за формирование каждого типа структур.
Features of convective regimes arising in a twolayer system with a phase transition are investigated. A mathematical model to describe the evaporative convection in an infinite horizontal channel is based on the Oberbeck - Boussinesq approximation of the Navier - Stokes equations and on the relations on the thermocapillary interface. An exact solution of the governing equations is the Ostroumov - Birikh solution analog. It has a group origination and allows one to take into account simultaneous presence of horizontal and vertical temperature gradients and influence of thermodiffusion effects (direct and inverse) both in the gas-vapor mixture and on the interface. Thermal and topological patterns of the joint flows of an evaporating liquid and a mixture of its vapor with an inert gas are described. Characteristics of vapor quality in the upper layer are studied. New results on stability of the exact solution under given consideration are presented in the paper. Typical forms of arising characteristic perturbations are calculated for the case of equal longitudinal temperature gradients on the external channel walls and of nonzero transversal temperature drop. Governing mechanisms responsible for the formation of each type of the structures are described.
РИНЦ
Держатели документа:
Алтайский государственный университет
Институт вычислительного моделирования СО РАН
Доп.точки доступа:
Бекежанова, Виктория Бахытовна; Bekezhanova V.B.; Гончарова, Ольга Николаевна; Goncharova O.N.
Group analysis of variable coefficients heat and mass transfer equations with power nonlinearity of thermal diffusivity
/ I. V. Stepanova // Appl. Math. Comput. - 2019. - Vol. 343. - P57-66, DOI 10.1016/j.amc.2018.09.036
. - ISSN 0096-3003
Кл.слова (ненормированные):
exact solutions -- Group classification problem -- Lie symmetry analysis -- Thermodiffusion equations -- Transport coefficients -- Algebra -- Control nonlinearities -- Liquids -- Thermal diffusivity -- Exact solution -- Group classification -- Lie symmetry analysis -- Thermodiffusion -- Transport coefficient -- Diffusion
Аннотация: The paper presents symmetry analysis of three-dimensional equations of heat and mass transfer in a binary liquid. The system contains three unknown functions related to physical properties of liquid. Supposing thermal diffusivity to be depended on temperature with respect to power law, diffusion and thermal diffusion coefficients are found using of classical Lie symmetry approach. It is shown that the solution of the group classification problem consists of two parts. We obtain different results if we take into account that diffusion coefficient either has the same form as the thermal diffusivity coefficient or it depends on temperature and concentration essentially. Some reductions of the governing equations are constructed with the help of the obtained transformations of dependent and independent variables. New exact solutions of the reduced equations have been found in several cases. © 2018 Elsevier Inc.
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Stepanova, I. V.
Кл.слова (ненормированные):
exact solutions -- Group classification problem -- Lie symmetry analysis -- Thermodiffusion equations -- Transport coefficients -- Algebra -- Control nonlinearities -- Liquids -- Thermal diffusivity -- Exact solution -- Group classification -- Lie symmetry analysis -- Thermodiffusion -- Transport coefficient -- Diffusion
Аннотация: The paper presents symmetry analysis of three-dimensional equations of heat and mass transfer in a binary liquid. The system contains three unknown functions related to physical properties of liquid. Supposing thermal diffusivity to be depended on temperature with respect to power law, diffusion and thermal diffusion coefficients are found using of classical Lie symmetry approach. It is shown that the solution of the group classification problem consists of two parts. We obtain different results if we take into account that diffusion coefficient either has the same form as the thermal diffusivity coefficient or it depends on temperature and concentration essentially. Some reductions of the governing equations are constructed with the help of the obtained transformations of dependent and independent variables. New exact solutions of the reduced equations have been found in several cases. © 2018 Elsevier Inc.
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Stepanova, I. V.