Bolotnova R.Kh.
Study the dynamics of hollow jet formation under vapor outflow from the supercritical state.
Multiphase Systems. 13 (2018) 4. 73–78.
Study the dynamics of hollow jet formation under vapor
outflow from the supercritical state
Bolotnova R.Kh.
Mavlutov Institute of Mechanics, UFRC RAS, Ufa
Abstract
The features of the unsteady process of a cavity formation
inside the jet at a sudden outflow of water vapor through a thin nozzle from a pressure vessel,
initially in a supercritical state, are studied. A numerical study was carried out by using the
sonicFoam solver of the OpenFOAM library with the Peng-Robinson equation of state in a
two-dimensional axisymmetric approximation. Visualization of the obtained solutions is
presented in the form of pictures dynamics for fields of velocities and temperatures. It is
shown that the mode of formation and maintenance of the cavity inside the
jet is supported more than 100 μs from the beginning of the expiration process.
Keywordsnumerical study,
sonicFoam solver of package OpenFOAM,
high-pressure chamber,
thin nozzle,
supercritical state of water vapor
Article outline
Problem: The study of the unsteady process of
formation of a cavity inside the jet at the sudden outflow of water vapor through a thin
nozzle from a high-pressure vessel, initially being in a supercritical state for a long time
interval.
Methods: The numerical study was carried out by using the solver for differential equations of
gas dynamics for the viscous gas sonicFoam of the OpenFOAM library in a two-dimensional
axisymmetric approximation with the Peng-Robinson equation of state. for this
purpose, in the original code of the sonicFoam solver for calculating the pressure and
internal energy, changes were made to the thermophysicalProperties file to connect the
selected equation of state of water vapor. The solution method is based on an implicit PISO
algorithm that calculates the pressure with a two-step corrector. The formation of the
calculated grid area in the Cartesian coordinate system is carried out and the
initial and boundary conditions of the problem are set using the utilities blockMesh,
setFieldsDict and blockMeshDict.
As a result of numerical studies of the supercritical regime of water vapor outflow
through a thin nozzle, it is shown that the interaction of the high-speed flow with the
adjacent weakly disturbed zone leads to the curvature of the gas trajectory, which is
accompanied by the formation and development of vortex zones. Due to the formation of an
external toroidal vortex, a supersonic flow velocity is maintained in the outer section of
the jet. A weaker vortex, the direction of rotation of which is opposite to the main
external vortex, is formed near the axis of symmetry in the surrounding gas stream and due
to the direction of the gas flow towards the movement of the jet in its center, moves the
Mach disk to the expiration zone, which leads to the development of a hollow jet. The hollow
jet mode is maintained for a process time of up to 100 µs.
References
- Ishii R., Fujimoto H., Hatta N., Umeda Y. Experimental
and numerical analysis of circular pulse jets // J. Fluid Mech. 1999. Vol. 392. P. 129–153.
(DOI: 10.1017/S0022112099005303)
- Решетников А.В., Бусов К.А., Мажейко Н.А., Скоков В.Н., Коверда В.П. Переходные режимы
вскипания струй перегретой воды // Теплофизика и аэромеханика. 2012. Т. 19, №3. С. 359–367.
(http://www.sibran.ru/upload/iblock/df3/df31846b55e7256ad10864ce5e0f7ccf.pdf)
- Болотнова Р.Х., Бузина В.А. Пространственное моделирование нестационарной стадии истечения
вскипающей жидкости из камер высокого давления // Вычислительная механика сплошных сред. 2014.
Т. 7, №4. С. 343–352.
(DOI: 10.7242/1999-6691/2014.7.4.33)
- Болотнова Р.Х., Коробчинская В.А. Пространственное моделирование процесса формирования
струи вскипающей воды при истечении из тонкого сопла // Теплофизика и аэромеханика. 2017.
Т. 24, №5. С. 783–794.
(http://www.sibran.ru/journals/issue.php?ID=171733&ARTICLE_ID=171744)
- Болотнова Р.Х., Бузина В.А. (Коробчинская В.А.), Галимзянов М.Н., Шагапов В.Ш.
Гидродинамические особенности процессов истечения вскипающей жидкости // Теплофизика
и аэромеханика. 2012. Т. 19, №6. C. 719–730.
(http://www.sibran.ru/upload/iblock/771/771227b1ee44e66c6d97c09317d651ad.pdf)
- Болотнова Р.Х., Коробчинская В.А. Исследование процесса развития струи при истечении
воды из сверхкритического состояния через тонкое сопло // Труды Института механики им.
Р.Р. Мавлютова Уфимского научного центра РАН. 2016. Т. 11. С. 66–71.
(DOI: 10.21662/uim2016.1.010)
- Болотнова Р.Х., Коробчинская В.А. Моделирование процесса формирования потока вскипающей
воды при разгерметизации сосуда высокого давления с использованием открытого
пакета OpenFoam // Труды Института механики им. Р.Р. Мавлютова Уфимского научного центра РАН.
2017. Т. 12, №2. С. 169–173.
(DOI: 10.21662/uim2017.2.025)
- Болотнова Р.Х., Гайнуллина Э.Ф. Особенности формирования полой струи водяного пара
сверхкритических параметров состояния, истекающего через тонкое сопло // Теплофизика
и аэромеханика. 2018. Т. 25, №5. С. 783–789.
(http://www.sibran.ru/journals/issue.php?ID=174876&ARTICLE_ID=174887)
- OpenFOAM. The Open Source Computational Fluid Dynamics (CFD) Toolbox.
(http://www.openfoam.com)
- Peng D.Y., Robinson D.B. A new two-constant equation of state //
Industrial and Engineering Chemistry: Fundamentals. 1976. Vol. 15. P. 59–64.
(DOI: 10.1021/i160057a011)