[Text]. - Electronic data (249 Kb)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=788. - Электрон. версия печ. публикации . - Режим доступа: http://library.krasn.ru/trudy/1998/788gorban_AMLappr98.pdf (Полный текст) : статья / A.N. Gorban. - Electronic data (249 Kb) // Applied Mathematics Letters. - 1998. - Vol. 11, № 3. - p. 45-49
Перевод заглавия: Аппроксимация непрерывных функций нескольких переменных с помощью произвольной нелинейной непрерывной функции одного переменного, линейных функций и их суперпозиций
Аннотация: Linear spaces of continuous functions of real variables closed under the superposition operation are considered. It has been proved that when such a space contains constants, linear functions, and at least one nonlinear function, it is dense in the space of all continuous functions in the topology of uniform convergence on compact sets. So, the approximation of continuous functions of several variables by an arbitrary nonlinear continuous function of one variable, linear functions, and their superpositions is possible.
http://icm.krasn.ru/refextra.php?id=788,
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Горбань, Александр Николаевич
Труды сотрудников ИВМ СО РАН
w10=
Найдено документов в текущей БД: 9
В16
G65
G65
Approximation of continuous functions of several variables by an arbitrary nonlinear continuous function of one variable, linear functions, and their superpositions .
OBSERVATIONS IN THE SHEATH REGION AHEAD OF A MAGNETIC CLOUD AND IN THE DAYSIDE MAGNETOSHEATH DURING MAGNETIC CLOUD PASSAGE
[Text] / C. J. FARRUGIA [et al.] ; ed. H. K. BIERNAT // MAGNETOSHEATH. Ser. ADVANCES IN SPACE RESEARCH : PERGAMON PRESS LTD, 1994. - Vol. 14: Topical Meeting of the COSPAR Interdisciplinary Scientific Commission D of the COSPAR 29th Plenary Meeting (AUG 28-SEP 05, 1992, WASHINGTON, DC), Is. 7. - P105-110, DOI 10.1016/0273-1177(94)90055-8. - Cited References: 15
. - ISBN 0273-1177. - ISBN 0-08-042484-8
РУБ Engineering, Aerospace + Astronomy & Astrophysics + Geosciences, Multidisciplinary + Meteorology & Atmospheric Sciences
Аннотация: We present magnetic field and particle (protons and electrons) observations in the sheath region behind an interplanetary shock driven by a magnetic cloud, and in the magnetic cloud itself. We also discuss observations in the dayside terrestrial magnetosheath during cloud passage. We find that the region ahead of the cloud is in pressure balance. Further, throughout its extent ( 0.06 AU), the magnetic field strength is anticorrelated with the plasma density, with the latter decreasing steadily as the cloud is approached. This behaviour is indicative of magnetic forces influencing the Row topology and highlights a large-scale breakdown of predictions based solely on gas dynamical considerations. We also study density stuctures inside the cloud which result in an undulating dynamic pressure being applied to the magnetopause causing it to oscillate with amplitudes of similar to 1 similar to 3 Re and period similar to 2h.
Доп.точки доступа:
FARRUGIA, C.J.; FITZENREITER, R.J.; BURLAGA, L.F.; Erkaev, N.V.; Еркаев, Николай Васильевич; OSHEROVICH, V.A.; BIERNAT, H.K.; FAZAKERLEY, A.; BIERNAT, H.K. \ed.\
Аннотация: We present magnetic field and particle (protons and electrons) observations in the sheath region behind an interplanetary shock driven by a magnetic cloud, and in the magnetic cloud itself. We also discuss observations in the dayside terrestrial magnetosheath during cloud passage. We find that the region ahead of the cloud is in pressure balance. Further, throughout its extent ( 0.06 AU), the magnetic field strength is anticorrelated with the plasma density, with the latter decreasing steadily as the cloud is approached. This behaviour is indicative of magnetic forces influencing the Row topology and highlights a large-scale breakdown of predictions based solely on gas dynamical considerations. We also study density stuctures inside the cloud which result in an undulating dynamic pressure being applied to the magnetopause causing it to oscillate with amplitudes of similar to 1 similar to 3 Re and period similar to 2h.
Доп.точки доступа:
FARRUGIA, C.J.; FITZENREITER, R.J.; BURLAGA, L.F.; Erkaev, N.V.; Еркаев, Николай Васильевич; OSHEROVICH, V.A.; BIERNAT, H.K.; FAZAKERLEY, A.; BIERNAT, H.K. \ed.\
Construction of algorithms for analytical continuation
/ A. M. Fedotov // Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika. - 1995. - Is. 1. - P64-79
. - ISSN 0137-0782
Кл.слова (ненормированные):
Algorithms -- Error analysis -- Mathematical models -- Mathematical operators -- Matrix algebra -- Optimization -- Set theory -- Theorem proving -- Topology -- Uniqueness theorem -- Interpolation
Аннотация: The paper is devoted to the problem of analytical continuation of functions from sets, being within regularity sets, at the presence of errors in predetermination of initial data. The problem of constructing the optimal algorithms of continuation is considered. Estimations for the accuracy and stability of the optimal continuation algorithms are obtained. A new form is proposed of the uniqueness theorem of analytical functions - the theorem of asymptotic uniqueness and self-regularizating algorithms. Causes of computational instability of the analytical continuation problems are elucidated and a method for organization of a computational process with control of computational errors is proposed.
Scopus
Держатели документа:
Vychislitel'nyj Tsentr SO RAN, Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Fedotov, A.M.; Федотов, Анатолий Михайлович
Кл.слова (ненормированные):
Algorithms -- Error analysis -- Mathematical models -- Mathematical operators -- Matrix algebra -- Optimization -- Set theory -- Theorem proving -- Topology -- Uniqueness theorem -- Interpolation
Аннотация: The paper is devoted to the problem of analytical continuation of functions from sets, being within regularity sets, at the presence of errors in predetermination of initial data. The problem of constructing the optimal algorithms of continuation is considered. Estimations for the accuracy and stability of the optimal continuation algorithms are obtained. A new form is proposed of the uniqueness theorem of analytical functions - the theorem of asymptotic uniqueness and self-regularizating algorithms. Causes of computational instability of the analytical continuation problems are elucidated and a method for organization of a computational process with control of computational errors is proposed.
Scopus
Держатели документа:
Vychislitel'nyj Tsentr SO RAN, Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Fedotov, A.M.; Федотов, Анатолий Михайлович
629.78.06-533.6
С117
С117
Совершенствование агрегатов для транспортировки тепла в космических аппаратах
[Текст] : статья / Валерий Васильевич Двирный [и др.] // Исследования наукограда. - 2016. - № 3-4. - С. 12-16
. - ISSN 2225-9449
Перевод заглавия: Improvement units for transporting heat in a spacecraft
Кл.слова (ненормированные):
транспортировка тепла -- космические аппараты -- тепловые трубы -- газорегулируемые тепловые трубы -- система терморегулирования -- электронасосные агрегаты -- малорасходные вентиляторы -- transporting heat -- spacecrafts -- Heat pipes -- gas-controlled heat pipes -- Thermal control system -- electric pump unit -- low consumption fan
Аннотация: Рассматривается период создания агрегатов транспортировки тепла в космических аппаратах с 70-х годов прошлого века и по настоящее время. В процессе развития космической техники связи, навигации и геодезии создавались многочисленные типы космических аппаратов с различными видами систем терморегулирования и агрегатов транспортировки тепла при общей тенденции повышения потребляемой мощности и тепловыделений, наращивания количества тепловых связей и повышения эффективности распределения тепла, увеличения срока активного существования до 15 лет. Облик современных космических аппаратов во многом определяет выбор систем терморегулирования и агрегатов транспортировки тепла, а в случае бесконтейнерного варианта при разработке блочно-модульной структуры космического аппарата, сотопанели и топология тепловых труб в них является основополагающим фактором, требующим решения сложных прикладных теплофизических задач.Также рассматривается проблема передачи и распределения многочисленных тепловых потоков, которую решают агрегаты транспортировки тепла, обеспечивая при этом требуемый диапазон температур газа в герметичном контейнере. Освещено обеспечение длительного ресурса малорасходных нагнетателей космического аппарата агрегатов транспортировки тепла жидкости как решение наиболее наукоемкой задачи для быстровращающихся роторов электронасосных агрегатов.
This paper covers creation period of units for transporting heat in a spacecraft from the 70-s of the last century to the present time. In the development of space technology communication, navigation and geodesy were created numerous types of spacecrafts with various types of thermal control systems and units for transporting heat while the general trend of increasing power consumption and heat dissipation, increasing the number of thermal couplings and improve the efficiency of heat distribution, increasing active shelf life up to 15 years. The appearance of modern spacecraft largely determines the choice of thermal systems and units for transporting heat and in the case of containerless option when developing a block-modular spacecraft structure, honeycomb and topology of the heat pipes are fundamental, requiring solutions of complex applied thermal problems. Also this paper covers the problem of multiple heat flows transmission and distribution, which solve the units for transporting heat, while providing the required range of gas temperature in a sealed container. This paper presents long life ensure of low consumption blowers in a spacecraft of units for transporting heat liquid in service, as a solution of the most scienceintensive task for the rapidly rotating rotor of electric pump units.
РИНЦ
Держатели документа:
АО «Информационные спутниковые системы» имени академика М. Ф. Решетнёва»
Институт вычислительного моделирования СО РАН Сибирский государственный аэрокосмический университет имени академика М. Ф. Решетнёва
ФГУП КБ «Арсенал» им. М. В. Фрунзе
Доп.точки доступа:
Двирный, Валерий Васильевич; Dvirnyi V.V.; Крушенко, Генрих Гаврилович; Krushenko G.G.; Голованова, Василина Валерьевна; Golovanova V.V.; Двирный, Гурий Валерьевич; Dvirnyi G.V.; Петяева, Наталья Николаевна; Petyaeva N.N.; Кирьянова, Ксения Анатольевна; Kiryanova K.A.
Перевод заглавия: Improvement units for transporting heat in a spacecraft
| УДК |
Кл.слова (ненормированные):
транспортировка тепла -- космические аппараты -- тепловые трубы -- газорегулируемые тепловые трубы -- система терморегулирования -- электронасосные агрегаты -- малорасходные вентиляторы -- transporting heat -- spacecrafts -- Heat pipes -- gas-controlled heat pipes -- Thermal control system -- electric pump unit -- low consumption fan
Аннотация: Рассматривается период создания агрегатов транспортировки тепла в космических аппаратах с 70-х годов прошлого века и по настоящее время. В процессе развития космической техники связи, навигации и геодезии создавались многочисленные типы космических аппаратов с различными видами систем терморегулирования и агрегатов транспортировки тепла при общей тенденции повышения потребляемой мощности и тепловыделений, наращивания количества тепловых связей и повышения эффективности распределения тепла, увеличения срока активного существования до 15 лет. Облик современных космических аппаратов во многом определяет выбор систем терморегулирования и агрегатов транспортировки тепла, а в случае бесконтейнерного варианта при разработке блочно-модульной структуры космического аппарата, сотопанели и топология тепловых труб в них является основополагающим фактором, требующим решения сложных прикладных теплофизических задач.Также рассматривается проблема передачи и распределения многочисленных тепловых потоков, которую решают агрегаты транспортировки тепла, обеспечивая при этом требуемый диапазон температур газа в герметичном контейнере. Освещено обеспечение длительного ресурса малорасходных нагнетателей космического аппарата агрегатов транспортировки тепла жидкости как решение наиболее наукоемкой задачи для быстровращающихся роторов электронасосных агрегатов.
This paper covers creation period of units for transporting heat in a spacecraft from the 70-s of the last century to the present time. In the development of space technology communication, navigation and geodesy were created numerous types of spacecrafts with various types of thermal control systems and units for transporting heat while the general trend of increasing power consumption and heat dissipation, increasing the number of thermal couplings and improve the efficiency of heat distribution, increasing active shelf life up to 15 years. The appearance of modern spacecraft largely determines the choice of thermal systems and units for transporting heat and in the case of containerless option when developing a block-modular spacecraft structure, honeycomb and topology of the heat pipes are fundamental, requiring solutions of complex applied thermal problems. Also this paper covers the problem of multiple heat flows transmission and distribution, which solve the units for transporting heat, while providing the required range of gas temperature in a sealed container. This paper presents long life ensure of low consumption blowers in a spacecraft of units for transporting heat liquid in service, as a solution of the most scienceintensive task for the rapidly rotating rotor of electric pump units.
РИНЦ
Держатели документа:
АО «Информационные спутниковые системы» имени академика М. Ф. Решетнёва»
Институт вычислительного моделирования СО РАН Сибирский государственный аэрокосмический университет имени академика М. Ф. Решетнёва
ФГУП КБ «Арсенал» им. М. В. Фрунзе
Доп.точки доступа:
Двирный, Валерий Васильевич; Dvirnyi V.V.; Крушенко, Генрих Гаврилович; Krushenko G.G.; Голованова, Василина Валерьевна; Golovanova V.V.; Двирный, Гурий Валерьевич; Dvirnyi G.V.; Петяева, Наталья Николаевна; Petyaeva N.N.; Кирьянова, Ксения Анатольевна; Kiryanova K.A.
Study of the convective fluid flows with evaporation on the basis of the exact solution in a three-dimensional infinite channel
/ V. B. Bekezhanova, O. N. Goncharova // J. Phys. Conf. Ser. - 2017. - Vol. 899, Is. 3, DOI 10.1088/1742-6596/899/3/032006
. - ISSN 1742-6588
Кл.слова (ненормированные):
Evaporation -- Fluid dynamics -- Hydrodynamics -- Liquefied gases -- Liquid sloshing -- Mass transfer -- Navier Stokes equations -- Nitrogen -- Thermodynamic properties -- Vortex flow -- Boussinesq approximations -- Infinite channels -- Liquid gas systems -- Numerical investigations -- Rectangular cross-sections -- Structural effect -- Thermal phenomena -- Vortex structures -- Flow of fluids
Аннотация: The solution of special type of the Boussinesq approximation of the Navier - Stokes equations is used to simulate the two-layer evaporative fluid flows. This solution is the 3D generalization of the Ostroumov - Birikh solution of the equations of free convection. Modeling of the 3D fluid flows is performed in an infinite channel of the rectangular cross section without assumption of the axis-symmetrical character of the flows. Influence of gravity and evaporation on the dynamic and thermal phenomena in the system is studied. The fluid flow patterns are determined by various thermal, mechanical and structural effects. Numerical investigations are performed for the liquid - gas system like ethanol - nitrogen and HFE-7100 - nitrogen under conditions of normal and low gravity. The solution allows one to describe a formation of the thermocapillary rolls and multi-vortex structures in the system. Alteration of topology and character of the flows takes place with change of the intensity of the applied thermal load, thermophysical properties of working media and gravity action. Flows with translational, translational-rotational or partially reverse motion can be formed in the system. © Published under licence by IOP Publishing Ltd.
Scopus,
Смотреть статью,
Полный текст (доступен только в ЛВС)
Держатели документа:
Institute of Computational Modeling SB RAS, Academgorodok 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):
Evaporation -- Fluid dynamics -- Hydrodynamics -- Liquefied gases -- Liquid sloshing -- Mass transfer -- Navier Stokes equations -- Nitrogen -- Thermodynamic properties -- Vortex flow -- Boussinesq approximations -- Infinite channels -- Liquid gas systems -- Numerical investigations -- Rectangular cross-sections -- Structural effect -- Thermal phenomena -- Vortex structures -- Flow of fluids
Аннотация: The solution of special type of the Boussinesq approximation of the Navier - Stokes equations is used to simulate the two-layer evaporative fluid flows. This solution is the 3D generalization of the Ostroumov - Birikh solution of the equations of free convection. Modeling of the 3D fluid flows is performed in an infinite channel of the rectangular cross section without assumption of the axis-symmetrical character of the flows. Influence of gravity and evaporation on the dynamic and thermal phenomena in the system is studied. The fluid flow patterns are determined by various thermal, mechanical and structural effects. Numerical investigations are performed for the liquid - gas system like ethanol - nitrogen and HFE-7100 - nitrogen under conditions of normal and low gravity. The solution allows one to describe a formation of the thermocapillary rolls and multi-vortex structures in the system. Alteration of topology and character of the flows takes place with change of the intensity of the applied thermal load, thermophysical properties of working media and gravity action. Flows with translational, translational-rotational or partially reverse motion can be formed in the system. © Published under licence by IOP Publishing Ltd.
Scopus,
Смотреть статью,
Полный текст (доступен только в ЛВС)
Держатели документа:
Institute of Computational Modeling SB RAS, Academgorodok 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.
How to detect topology of a manifold to approximate multidimensional data
/ M. G. Sadovsky, A. N. Ostylovsky // Applied Methods of Statistical Analysis : Novosibirsk State Technical University, 2017. - 4th International Workshop Applied Methods of Statistical Analysis Nonparametric Methods in Cybernetics and System Analysis, AMSA 2017, ) Conference code: 139508. - P204-210
. -
Аннотация: New method is proposed to identify topology of a low-dimensional mani-fold approximating multidimensional datasets. The method is based on the implementation of the compliment for the discrete set of data. Some essential properties and constraints of the method are discussed. New method is proposed to identify clusters in datasets. The method is based on a sequential elimination of the longest distances in dataset, so that the relevant graph looses some edges. The method stops when the graph becomes disconnected. © Novosibirsk State Technical University, 2017.
Scopus
Держатели документа:
Institute of computational modelling SB RAS, Krasnoyarsk, Russian Federation
Siberian federal university, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovsky, M. G.; Ostylovsky, A. N.
Аннотация: New method is proposed to identify topology of a low-dimensional mani-fold approximating multidimensional datasets. The method is based on the implementation of the compliment for the discrete set of data. Some essential properties and constraints of the method are discussed. New method is proposed to identify clusters in datasets. The method is based on a sequential elimination of the longest distances in dataset, so that the relevant graph looses some edges. The method stops when the graph becomes disconnected. © Novosibirsk State Technical University, 2017.
Scopus
Держатели документа:
Institute of computational modelling SB RAS, Krasnoyarsk, Russian Federation
Siberian federal university, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovsky, M. G.; Ostylovsky, A. N.
57
Н 76
Н 76
Новый метод определения топологии многообразия малой размерности, приближающего многомерныеданные
: статья / Михаил Г. Садовский, Анатолий Н. Остыловский // Журнал Сибирского федерального университета. Серия: Математика и физика. - 2018. - Т. 11, № 3. - С. 322-328, DOI 10.17516/1997-1397-2018-11-3-322-328
. - ISSN 1997-1397
Перевод заглавия: New Method to Determine Topology of Low-Dimension Manifold Approximating Multidimensional Data Sets
Кл.слова (ненормированные):
order -- complexity -- clusterization -- complement -- surface genius -- порядок -- сложность -- кластеризация -- компонента -- связность
Аннотация: Представлен новый метод определения особенностей топологии многообразий малой размерности, приближающих многомерные данные. Метод основан на построении дополнения дискретного множества и изучении его особенностей.
New method is proposed to identify topology of a low-dimensional manifold approximating multidimensional datasets. The method is based on the implementation of the compliment for the discrete set of data. Some essential properties and constraints of the method are discussed.
РИНЦ,
Scopus,
Смотреть статью
Держатели документа:
Институт вычислительного моделирования СО РАН
Институт математики и фундаментальной информатики Сибирский федеральный университет
Доп.точки доступа:
Садовский, Михаил Г.; Sadovsky Michael G.; Остыловский, Анатолий Н.; Ostylovsky Anatoly N.
Перевод заглавия: New Method to Determine Topology of Low-Dimension Manifold Approximating Multidimensional Data Sets
| УДК |
Кл.слова (ненормированные):
order -- complexity -- clusterization -- complement -- surface genius -- порядок -- сложность -- кластеризация -- компонента -- связность
Аннотация: Представлен новый метод определения особенностей топологии многообразий малой размерности, приближающих многомерные данные. Метод основан на построении дополнения дискретного множества и изучении его особенностей.
New method is proposed to identify topology of a low-dimensional manifold approximating multidimensional datasets. The method is based on the implementation of the compliment for the discrete set of data. Some essential properties and constraints of the method are discussed.
РИНЦ,
Scopus,
Смотреть статью
Держатели документа:
Институт вычислительного моделирования СО РАН
Институт математики и фундаментальной информатики Сибирский федеральный университет
Доп.точки доступа:
Садовский, Михаил Г.; Sadovsky Michael G.; Остыловский, Анатолий Н.; Ostylovsky Anatoly N.
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.
Scopus,
Смотреть статью
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.
Scopus,
Смотреть статью
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.
Influence of the Thermophysical Properties of a Liquid Coolant on Characteristics of the 3D Flows with Phase Transition
/ V. B. Bekezhanova, O. N. Goncharova // J. Sib. Fed. Univ.-Math. Phys. - 2019. - Vol. 12, Is. 6. - P655-662, DOI 10.17516/1997-1397-2019-12-6-655-662. - Cited References:12. - This work was supported by the Russian Foundation for Basic Research and the government of Krasnoyarsk region (project no. 18-41-242005).
. - ISSN 1997-1397. - ISSN 2313-6022
РУБ Mathematics
Аннотация: Regimes of the joint flows of the evaporating liquid and gas-vapor mixture induced by the action of a longitudinal temperature gradient in a three-dimensional channel of a rectangular cross-section in the terrestrial gravity field are studied in the present paper. The theoretical investigations are carried out on the basis of the partially invariant solution of rank 2 and defect 3 of the Boussinesq approximation of the Navier - Stokes equations. This solution allows one to correctly describe the two-layer flows with evaporation/condensation at the thermocapillary interface and to take into account the effects of thermodiffusion and diffusive thermal conductivity in the gas-vapor phase. The exact solution of governing equations are characterized by dependence of the velocity components on the transverse coordinates only. The functions of pressure, temperature and concentration of vapor linearly depend on the longitudinal coordinate and have the summands which are functions on transverse coordinates. The required functions satisfy the set of differential equations, boundary and interface conditions followed from the original three-dimensional problem statement and are found as a result of numerical technique. The presented solution of the evaporative convection problem is very contensive. It permits to specify the 3D flow regimes with different topology, thermal and concentration characteristics observed in physical experiments. Differences of flows in the ethanol-nitrogen, HFE-7100 - nitrogen and FC-72- nitrogen systems are studied. Impact of the thermophysical properties of the working liquids on the basic characteristics of the fluid motions (hydrodynamical structure, temperature distribution, vapor content in the nitrogen, evaporative mass flow rate) is analyzed.
WOS,
Scopus
Держатели документа:
Inst Computat Modeling SB RAS, Acad Gorodok 50-44, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Svobodny 79, Krasnoyarsk 660041, Russia.
Altai State Univ, Lenina 61, Barnaul 656049, Russia.
Доп.точки доступа:
Bekezhanova, Victoria B.; Goncharova, Olga N.; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR); government of Krasnoyarsk region [18-41-242005]
Рубрики:
EVAPORATIVE CONVECTION
Кл.слова (ненормированные):
evaporative convection -- thermocapillary interface -- three-dimensional -- flow -- mathematical model -- exact solution
EVAPORATIVE CONVECTION
Кл.слова (ненормированные):
evaporative convection -- thermocapillary interface -- three-dimensional -- flow -- mathematical model -- exact solution
Аннотация: Regimes of the joint flows of the evaporating liquid and gas-vapor mixture induced by the action of a longitudinal temperature gradient in a three-dimensional channel of a rectangular cross-section in the terrestrial gravity field are studied in the present paper. The theoretical investigations are carried out on the basis of the partially invariant solution of rank 2 and defect 3 of the Boussinesq approximation of the Navier - Stokes equations. This solution allows one to correctly describe the two-layer flows with evaporation/condensation at the thermocapillary interface and to take into account the effects of thermodiffusion and diffusive thermal conductivity in the gas-vapor phase. The exact solution of governing equations are characterized by dependence of the velocity components on the transverse coordinates only. The functions of pressure, temperature and concentration of vapor linearly depend on the longitudinal coordinate and have the summands which are functions on transverse coordinates. The required functions satisfy the set of differential equations, boundary and interface conditions followed from the original three-dimensional problem statement and are found as a result of numerical technique. The presented solution of the evaporative convection problem is very contensive. It permits to specify the 3D flow regimes with different topology, thermal and concentration characteristics observed in physical experiments. Differences of flows in the ethanol-nitrogen, HFE-7100 - nitrogen and FC-72- nitrogen systems are studied. Impact of the thermophysical properties of the working liquids on the basic characteristics of the fluid motions (hydrodynamical structure, temperature distribution, vapor content in the nitrogen, evaporative mass flow rate) is analyzed.
WOS,
Scopus
Держатели документа:
Inst Computat Modeling SB RAS, Acad Gorodok 50-44, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Svobodny 79, Krasnoyarsk 660041, Russia.
Altai State Univ, Lenina 61, Barnaul 656049, Russia.
Доп.точки доступа:
Bekezhanova, Victoria B.; Goncharova, Olga N.; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR); government of Krasnoyarsk region [18-41-242005]