Journal articles: 'Rarefied gas dynamics'

1

Muntz, E. P. "Rarefied Gas Dynamics." Annual Review of Fluid Mechanics 21, no. 1 (1989): 387–422. http://dx.doi.org/10.1146/annurev.fl.21.010189.002131.

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2

Harvey, John. "Review of Rarefied Gas Dynamics." AIAA Journal 42, no. 1 (2004): 199. http://dx.doi.org/10.2514/1.14196.

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3

Sharipov, Felix. "Benchmark problems in rarefied gas dynamics." Vacuum 86, no. 11 (2012): 1697–700. http://dx.doi.org/10.1016/j.vacuum.2012.02.048.

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4

Chen, Xinzhong, Hongling Rao, and Edward A. Spiegel. "Macroscopic equations for rarefied gas dynamics." Physics Letters A 271, no. 1-2 (2000): 87–91. http://dx.doi.org/10.1016/s0375-9601(00)00362-5.

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5

So, Zeyar, and S. L. Gorelov. "SELF-SIMILAR INTERPOLATION IN RAREFIED GAS DYNAMICS." TsAGI Science Journal 41, no. 5 (2010): 567–78. http://dx.doi.org/10.1615/tsagiscij.v41.i5.60.

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6

Jaiswal, Shashank. "Isogeometric schemes in rarefied gas dynamics context." Computer Methods in Applied Mechanics and Engineering 383 (September 2021): 113926. http://dx.doi.org/10.1016/j.cma.2021.113926.

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7

Goldstein, D. B., and P. L. Varghese. "Rarefied gas dynamics on a planetary scale." Physics of Fluids 23, no. 3 (2011): 030608. http://dx.doi.org/10.1063/1.3561700.

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8

Jitschin, Wolfgang. "25th International Symposium on Rarefied Gas Dynamics." Vakuum in Forschung und Praxis 18, no. 5 (2006): 40. http://dx.doi.org/10.1002/vipr.200690062.

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9

Zharikov, K. I., and I. S. Vavilov. "Numerical simulation of a rarefied gas jet emanating from an ion-optical system of the microthruster." Omsk Scientific Bulletin. Series Aviation-Rocket and Power Engineering 9, no. 1 (2025): 83–91. https://doi.org/10.25206/2588-0373-2025-9-1-83-91.

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A jet of ionized rarefied gas escaping from an ion-optical system of a prototype resonator RF-ion thruster into the surrounding space with low background pressure is considered. After a number of assumptions, the escaping jet is replaced in the first approximation by a neutral rarefied gas, which allows us to characterize the flow satisfying the hypothesis of flow continuity. The equations describing the motion of a continuous medium are solved numerically using the Bubnov–Galerkin method, which is used in rarefied gas dynamics. Non-stationary heat transfer is taken into account due to the interaction of the gas flow with a local heat release region in the gap between the grid elements of the ionoptical system. The heat release mechanism is described by the heat conduction equation, which is solved together with the gas dynamics equations. The obtained calculation results are compared with the experimental data. The conducted modeling made it possible to obtain the spatial structure of the neutral rarefied gas flow in the cylindrical channels and microchannels of the microthruster. By comparing the obtained spatial structure with the real thermal imaging picture of the jet, it is possible to estimate the contribution of the resonator acceleration to the total energy of the jet.

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10

Scherer, Caio S., and Liliane B. Barichello. "A Heat Transfer Problem in Rarefied Gas Dynamics." Heat Transfer Engineering 30, no. 4 (2009): 282–91. http://dx.doi.org/10.1080/01457630802381822.

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11

BARICHELLO, L. B., and C. E. SIEWERT. "The temperature-jump problem in rarefied-gas dynamics." European Journal of Applied Mathematics 11, no. 4 (2000): 353–64. http://dx.doi.org/10.1017/s0956792599004180.

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An analytical version of the discrete-ordinates method is used here to solve the classical temperature-jump problem based on the BGK model in rarefied-gas dynamics. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield very accurate results for the temperature jump and the complete temperature and density distributions in the gas. The algorithm is easy to use, and the developed code runs typically in less than a second on a 400 MHz Pentium-based PC.

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12

Ganguly, Arnab, Steven L. Nail, and Alina A. Alexeenko. "Rarefied gas dynamics aspects of pharmaceutical freeze-drying." Vacuum 86, no. 11 (2012): 1739–47. http://dx.doi.org/10.1016/j.vacuum.2012.03.025.

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13

Popyrin, S. L. "On some stochastic models of rarefied gas dynamics." USSR Computational Mathematics and Mathematical Physics 29, no. 4 (1989): 192–94. http://dx.doi.org/10.1016/0041-5553(89)90136-5.

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14

Theofanous, T. G., G. J. Li, and T. N. Dinh. "Aerobreakup in Rarefied Supersonic Gas Flows." Journal of Fluids Engineering 126, no. 4 (2004): 516–27. http://dx.doi.org/10.1115/1.1777234.

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We present new experimental results on the interfacial instabilities and breakup of Newtonian liquid drops suddenly exposed to rarefied, high-speed (Mach 3) air flows. The experimental approach allows for the first time detailed observation of interfacial phenomena and mixing throughout the breakup cycle over a wide range of Weber numbers. Key findings are that Rayleigh-Taylor instability alone is the active mechanism for freestream Weber numbers as low as 28 for low viscosity liquids and that stripping rather than piercing is the asymptotic regime as We→∞. This and other detailed visual evidence over 26<We<2,600 are uniquely suitable for testing Computational Fluid Dynamics (CFD) simulations on the way to basic understanding of aerobreakup over a broad range of conditions.

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15

Villani, Cédric. "Rarefied Gas Dynamics: From basic concepts to actual calculations." European Journal of Mechanics - B/Fluids 20, no. 1 (2001): 160–61. http://dx.doi.org/10.1016/s0997-7546(00)01115-8.

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16

Ueno, Sueo. "Probabilistic approach for rarefied gas dynamics: Linearized couette flow." Applied Mathematics and Computation 69, no. 1 (1995): 61–73. http://dx.doi.org/10.1016/0096-3003(94)00099-p.

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17

Pareschi, Lorenzo, and Russel E. Caflisch. "An Implicit Monte Carlo Method for Rarefied Gas Dynamics." Journal of Computational Physics 154, no. 1 (1999): 90–116. http://dx.doi.org/10.1006/jcph.1999.6301.

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18

Aoki, Kazuo, Shigeru Takata, and Tatsunori Tomota. "A force acting on an oblate spheroid with discontinuous surface temperature in a slightly rarefied gas." Journal of Fluid Mechanics 748 (May 7, 2014): 712–30. http://dx.doi.org/10.1017/jfm.2014.200.

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AbstractAn oblate spheroid, the respective hemispheroids of which are kept at different uniform temperatures, placed in a rarefied gas at rest is considered. The explicit formula for the force acting on the spheroid (radiometric force) is obtained for small Knudsen numbers. This is a model of a vane of the Crookes radiometer. The analysis is performed for a general axisymmetric distribution of the surface temperature of the spheroid, allowing abrupt changes. Although the generalized slip flow theory, established by Sone (Rarefied Gas Dynamics, vol. 1, 1969, pp. 243–253), is available for general rarefied gas flows at small Knudsen numbers, it cannot be applied to the present problem because of the abrupt temperature changes. However, if it is combined with the symmetry relations for the linearized Boltzmann equation developed recently by Takata (J. Stat. Phys., vol. 136, 2009, pp. 751–784), one can bypass the difficulty. To be more specific, the force acting on the spheroid in the present problem can be generated from the solution of the adjoint problem to which the generalized slip flow theory can be applied, i.e. the problem in which the same spheroid with a uniform surface temperature is placed in a uniform flow of a rarefied gas. The analysis of the present paper follows this strategy.

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19

Gaudillière, A., F. den Hollander, F. R. Nardi, E. Olivieri, and E. Scoppola. "Ideal gas approximation for a two-dimensional rarefied gas under Kawasaki dynamics." Stochastic Processes and their Applications 119, no. 3 (2009): 737–74. http://dx.doi.org/10.1016/j.spa.2008.04.008.

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20

Yakunchikov, Artem, and Vasily Kosyanchuk. "Application of event-driven molecular dynamics approach to rarefied gas dynamics problems." Computers & Fluids 170 (July 2018): 121–27. http://dx.doi.org/10.1016/j.compfluid.2018.05.002.

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21

Mao, Zhi Hong, Fu Bing Bao, and Yuan Lin Huang. "Molecular Dynamics Simulation of Rarefied Gaseous Flows in Nano-Channels." Applied Mechanics and Materials 446-447 (November 2013): 12–17. http://dx.doi.org/10.4028/www.scientific.net/amm.446-447.12.

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Molecular dynamics simulation method was used to study the rarefied gaseous flows in nanochannels. A pressure-driven force was introduced to drive the gas to flow between two parallel walls. The effects of driven force magnitude and channel height were investigated. The results show that a single layer of gaseous molecules is adsorbed on the wall surface. The density of adsorption layer decreases with the increase of channel height, but doesnt vary with driven force. The velocity profile across the channel has the traditional parabolic shape. The average velocity and gas slip velocity on the wall increase linearly with the increase of pressure-driven force. The gas slip velocity decreases linearly with the increase of channel height. The ratio of slip to average velocity decreases linearly with the increase of channel height.

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22

Ya Rudyak, V., and E. V. Lezhnev. "Direct stochastic molecular modelling of transport processes in gases." Journal of Physics: Conference Series 2056, no. 1 (2021): 012003. http://dx.doi.org/10.1088/1742-6596/2056/1/012003.

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Abstract The stochastic molecular modeling method (SMM) of transport processes in rarefied gases developed by the authors is systematically discussed in this paper. It is shown that, it is possible to simulate the transport coefficients of rarefied gas with high accuracy, using a relatively small number of molecules. The data of modeling the thermal conductivity coefficient are presented for the first time. The second part of the paper is devoted to the generalization of the SMM method for modeling transport processes in confined conditions. To describe the dynamics of molecules in this case, the splitting of their evolution by processes is used: first, the movement of molecules in the configuration space is simulated, and then their dynamics in the velocity space is imitated. Anisotropy of viscosity and thermal conductivity in nanochannels has been established. The interaction of gas molecules with walls is described by specular or specular-diffuse reflection laws. Gas viscosity can be either greater than in the bulk or less, depending on the law of gas interaction with the channel walls.

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23

Scherer, C. S. "A Discrete-Ordinates Solution for the Strong Evaporation Problem in Rarefied Gas Dynamics." Trends in Computational and Applied Mathematics 22, no. 2 (2021): 179–99. http://dx.doi.org/10.5540/tcam.2021.022.02.00201.

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In this work we solve the nonlinear strong evaporation problem in rarefied gas dynamics. The analysis is based on the BGK model, with three dimensional velocity vector, derived from the Boltzmann equation. We present the complete development of a closed form solution for evaluating density, velocity, temperature perturbations and the heat flux of a gas. Numerical results are presented and discussed.

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24

Myong, Rho Shin, and Kun Xu. "Special Issue on Recent Hot Topics in Rarefied Gas Dynamics." International Journal of Computational Fluid Dynamics 35, no. 8 (2021): 563–65. http://dx.doi.org/10.1080/10618562.2021.2050478.

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25

Bing-Yang, Cao, Chen Min, and Guo Zeng-Yuan. "Rarefied Gas Flow in Rough Microchannels by Molecular Dynamics Simulation." Chinese Physics Letters 21, no. 9 (2004): 1777–79. http://dx.doi.org/10.1088/0256-307x/21/9/028.

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26

ABE, Takashi. "Rarefied Gas Dynamics in Relation to Aeroassisted Orbital Transfer Vehicle." Journal of the Japan Society for Aeronautical and Space Sciences 39, no. 450 (1991): 352–59. http://dx.doi.org/10.2322/jjsass1969.39.352.

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27

Sceats, Mark G. "Particle diffusion in the transition region of rarefied gas dynamics." Journal of Colloid and Interface Science 126, no. 1 (1988): 101–7. http://dx.doi.org/10.1016/0021-9797(88)90104-x.

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28

Ivanov, M. S., and S. V. Rogazinskii. "Comparative analysis of direct simulation algorithms in rarefied gas dynamics." USSR Computational Mathematics and Mathematical Physics 28, no. 4 (1988): 63–71. http://dx.doi.org/10.1016/0041-5553(88)90112-7.

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29

Abe, Takashi. "Report on RGD26 (26th International Symposium on Rarefied Gas Dynamics)." Shock Waves 18, no. 6 (2008): 495–96. http://dx.doi.org/10.1007/s00193-008-0183-5.

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30

Dimarco, Giacomo, Raphaël Loubère, and Vittorio Rispoli. "A multiscale fast semi-Lagrangian method for rarefied gas dynamics." Journal of Computational Physics 291 (June 2015): 99–119. http://dx.doi.org/10.1016/j.jcp.2015.02.031.

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31

Yanyshev, D. S., I. A. Shirokov, M. A. Kiryushina, A. M. Molchanov, and L. V. Bykov. "On the Role of Second Viscosity in Rarefied Gas Dynamics." Mathematical Models and Computer Simulations 17, no. 1 (2025): 76–86. https://doi.org/10.1134/s2070048224700741.

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32

ABE, Takashi. "A Report on the Organized session "Rarefied Gas Dynamics: experiment and analysis" and recent development of Rarefied Gas Dynamics in relation to Space Vehicles." Journal of the Japan Society for Aeronautical and Space Sciences 46, no. 533 (1998): 322–26. http://dx.doi.org/10.2322/jjsass1969.46.322.

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33

Verezub, Nataliya A., and Anatoly I. Prostomolotov. "Growth chamber gas dynamics in Cz silicon single crystal growth process." Modern Electronic Materials 10, no. (3) (2024): 185–93. https://doi.org/10.3897/j.moem.10.3.140627.

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Mathematical simulation results for inert gas (argon) dynamics in the rarefied atmosphere of Redmet-10 Cz single crystal silicon growth furnace chamber have been reported. Gas flows in cold (room temperature) and hot (growth process) chambers have been analyzed. Convective gas flows have been considered for two growth chamber gas supply options: basic supply, i.e., through the top central inlet hole only, and combined, i.e., with additional gas supply through the lateral inlet hole. Gas outlet is through the growth chamber bottom outlet hole for both options. For the cold chamber option, forced convection has been studied using the incompressible ideal gas model. For hot chamber, both the nonisothermal compressible ideal gas model and the weakly compressible gas model in the Boussinesq approximation have been used for studying the vortex structure produced by a joint action of forced and thermal-gravitational convection. The effect of different gas inlet methods on the convective transport of silicon monoxide evaporating from the free melt surface has been discussed.

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34

Zarvin, Alexandr, Kirill Dubrovin, Valerii Kalyada, Vitalii Khudozhitkov, Alexandr Yaskin, and Ekaterina Dering. "Modeling supersonic rarefied jets on experimental cluster at Novosibirsk State University." E3S Web of Conferences 459 (2023): 01003. http://dx.doi.org/10.1051/e3sconf/202345901003.

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A review of the experimental work carried out on the vacuum gas-dynamic stands of the Applied Physics Department of the Novosibirsk State University is presented. Creation of these stands meeting the world’s requirements and equipped with modern diagnostic methods was based on the background experience from the Institute of Thermophysics of the Siberian Branch of the Russian Academy of Sciences under the guidance of A.K. Rebrov. A brief description of the stands and the results of some studies is given. Despite the limited possibilities of the university environment, the use of compact laboratory vacuum stands provides large-scale studies in various areas of rarefied gas dynamics.

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35

Wang, Wei Dong, Xiang Ji, and Xiang Yu Niu. "Research on Dynamic Coupling Characteristics of Electrostatic Actuated Micro Beam Considering Gas Film Damping." Advanced Materials Research 411 (November 2011): 437–41. http://dx.doi.org/10.4028/www.scientific.net/amr.411.437.

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It has been proved by large number of experiments that gas film damping has great influence on MEMS structures. Based on the elastic and material mechanics, this paper built a linear-vibration model for the electrostatic actuated micro-beam. According to the rarefied gas dynamics theory, a kind of modified Reynolds equation is adopted in the system modeling. In view of the study on small deflection of micro-beam has been investigated already by many researchers, this paper focus the research on large beam deflections, i.e. the mid-point deflection can be compared with the thickness of the gas film. The dynamic characteristics of micro-beam are investigated through coupling the dynamic vibration equation with the modified Reynolds equation. Through the finite difference method, the discrete form of the coupled dynamic equations has been obtained.

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36

Surzhikov, S. T. "NON-EQUILIBRIUM SUPERSONIC FLOW AROUND A BLUNT." Известия Российской академии наук. Механика жидкости и газа, no. 2 (March 1, 2023): 123–37. http://dx.doi.org/10.31857/s0568528122600722.

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The computational model designed for studying the processes of non-equilibrium physicochemical gas dynamics in supersonic rarefied-air flow past a blunt plate of finite dimensions under the laboratory experiment conditions is formulated. The computational model is based on the two-dimensional Navier–Stokes equations, the energy conservation laws for the translational degrees of freedom of atoms and molecules and the vibrational degrees of freedom of diatomic molecules, and the chemical kinetics and diffusion equations for individual components of partially ionized gas flow. The basic gas dynamic and kinetic processes in flow past a blunt plate are analyzed at the Mach numbers M = 10 and 20. It is shown that regions of thermal nonequilibrium are formed.

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37

Surzhikov, S. T. "Non-Equilibrium Supersonic Flow Past a Blunt Plate at High Angle of Attack." Fluid Dynamics 58, no. 1 (2023): 113–27. http://dx.doi.org/10.1134/s0015462822700033.

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Abstract The computational model designed for studying the processes of non-equilibrium physicochemical gas dynamics in supersonic rarefied-air flow past a blunt plate of finite dimensions under the laboratory experiment conditions is formulated. The computational model is based on the two-dimensional Navier–Stokes equations, the energy conservation laws for the translational degrees of freedom of atoms and molecules and the vibrational degrees of freedom of diatomic molecules, and the chemical kinetics and diffusion equations for individual components of partially ionized gas flow. The basic gas dynamic and kinetic processes in flow past a blunt plate are analyzed at the Mach numbers M = 10 and 20. It is shown that regions of thermal nonequilibrium are formed.

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38

Mopuru, Deepa Raj, Nishanth Dongari, and Srihari Payyavula. "Rarefied Nozzle Flow Computation Using the Viscosity-Based Direct Simulation Monte Carlo Method." Fluids 10, no. 1 (2024): 2. https://doi.org/10.3390/fluids10010002.

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Micro-nozzles are essential for enabling precise satellite attitude control and orbital maneuvers. Accurate prediction of performance parameters, including thrust and specific impulse, is critical, necessitating careful design of these nozzles. Given the high Knudsen numbers associated with micro-nozzle flows, rarefied gas dynamics often dominate, and conventional computational fluid dynamics (CFD) methods fail to capture accurate flow expansion behavior. The Direct Simulation Monte Carlo (DSMC) method, developed by Bird, is widely used for modeling rarefied flows; however, it has been primarily implemented on platforms like OpenFOAM and FORTRAN, with limited exploration in MATLAB. This study presents the development of a viscosity-based DSMC (μDSMC) simulation framework in MATLAB for analyzing rarefied gas expansion through micro-nozzles. Key boundary conditions, including upstream and downstream pressure conditions and thermal wall treatments with diffuse reflection, are incorporated into the code. The μDSMC results are validated against traditional DSMC outcomes, showing strong agreement. Grid convergence studies indicate that the radial grid size must be less than one-third of the mean free path, with a more relaxed requirement on axial grid size. Flow characteristics within micro-nozzles are evaluated across varying ambient pressures and gas species in terms of the back pressure ratio, effective exit flow ratio, and exit flow velocity. Studies indicated that a minimum back pressure ratio is required, beyond which the effective nozzle flow expansion is achieved. Parametric analysis further suggests that gases with lower molecular weights are preferable for achieving optimal expansion in micro-nozzles under low ambient pressures.

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39

SONE, Yoshio, and Taku OHWADA. "Fundamental Studies in Rarefied Gas Dynamics-Theory, Numerical Analysis, and Experiment." Journal of the Japan Society for Aeronautical and Space Sciences 39, no. 450 (1991): 328–41. http://dx.doi.org/10.2322/jjsass1969.39.328.

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40

SATOH, Akira. "Molecular Dynamics Simulation of a Rarefied Gas Flow past a Sphere." Transactions of the Japan Society of Mechanical Engineers Series B 58, no. 545 (1992): 79–84. http://dx.doi.org/10.1299/kikaib.58.79.

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41

Struchtrup, Henning, Alexander Beckmann, Anirudh Singh Rana, and Aldo Frezzotti. "Evaporation boundary conditions for the R13 equations of rarefied gas dynamics." Physics of Fluids 29, no. 9 (2017): 092004. http://dx.doi.org/10.1063/1.4989570.

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42

Camargo, Mariza, and Liliane Basso Barichello. "Unified Approach for Variable Collision‐Frequency Models in Rarefied Gas Dynamics." Transport Theory and Statistical Physics 33, no. 3-4 (2004): 227–60. http://dx.doi.org/10.1081/tt-200051966.

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43

Cao, Yunbai. "Rarefied gas dynamics with external fields under specular reflection boundary condition." Communications in Mathematical Sciences 20, no. 8 (2022): 2133–206. http://dx.doi.org/10.4310/cms.2022.v20.n8.a3.

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44

Steckelmacher, W. "Rarefied gas dynamics: Proceedings of the 17th international symposium, Aachen 1990." Vacuum 43, no. 3 (1992): 279. http://dx.doi.org/10.1016/0042-207x(92)90316-o.

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45

Tiwari, Sudarshan, Axel Klar, and Giovanni Russo. "A meshfree method for the BGK model for rarefied gas dynamics." International Journal of Advances in Engineering Sciences and Applied Mathematics 11, no. 3 (2019): 187–97. http://dx.doi.org/10.1007/s12572-019-00254-5.

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46

Verezub, Nataliya A., and Anatoly I. Prostomolotov. "Growth chamber gas dynamics in Cz silicon single crystal growth process." Modern Electronic Materials 10, no. 3 (2024): 185–93. http://dx.doi.org/10.3897/j.moem.10.3.140627.

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Mathematical simulation results for inert gas (argon) dynamics in the rarefied atmosphere of Redmet-10 Cz single crystal silicon growth furnace chamber have been reported. Gas flows in cold (room temperature) and hot (growth process) chambers have been analyzed. Convective gas flows have been considered for two growth chamber gas supply options: basic supply, i.e., through the top central inlet hole only, and combined, i.e., with additional gas supply through the lateral inlet hole. Gas outlet is through the growth chamber bottom outlet hole for both options. For the cold chamber option, forced convection has been studied using the incompressible ideal gas model. For hot chamber, both the nonisothermal compressible ideal gas model and the weakly compressible gas model in the Boussinesq approximation have been used for studying the vortex structure produced by a joint action of forced and thermal-gravitational convection. The effect of different gas inlet methods on the convective transport of silicon monoxide evaporating from the free melt surface has been discussed.

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47

Быков, Н. Ю., та В. В. Захаров. "Рост плотности и расхода тяжелого компонента при истечении разреженной газовой смеси в вакуум". Письма в журнал технической физики 46, № 15 (2020): 3. http://dx.doi.org/10.21883/pjtf.2020.15.49738.18328.

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Gas dynamics of a rarefied mixture flowing from a chamber into vacuum is studied for the case of disparate-mass components. The modeling was fulfilled by the DSMC method. An increase of the heavier component density is observed in the vicinity of the chamber’s outlet. A significant impact of the lighter component on the jet dynamics consists in an increase of the heavier component flux and direction of heavier particles to the axis.

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48

Siewert, C. E., and Felix Sharipov. "Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients." Physics of Fluids 14, no. 12 (2002): 4123–29. http://dx.doi.org/10.1063/1.1514973.

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49

Trazzi, Stefano, Lorenzo Pareschi, and Bernt Wennberg. "Adaptive and Recursive Time Relaxed Monte Carlo Methods for Rarefied Gas Dynamics." SIAM Journal on Scientific Computing 31, no. 2 (2009): 1379–98. http://dx.doi.org/10.1137/07069119x.

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50

Kröger, Martin, and Hans Christian Öttinger. "Beyond-equilibrium molecular dynamics of a rarefied gas subjected to shear flow." Journal of Non-Newtonian Fluid Mechanics 120, no. 1-3 (2004): 175–87. http://dx.doi.org/10.1016/j.jnnfm.2003.11.010.

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Journal articles on the topic 'Rarefied gas dynamics'

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