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Journal articles on the topic 'Gaz compressibles'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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1

Combe, Laure, and Jean-Marc Hérard. "Un schéma Volumes-Finis pour la simulation d'un modèle bi-fluide d'écoulements diphasiques compressibles gaz-solide." Revue Européenne des Éléments Finis 6, no. 2 (1997): 197–231. http://dx.doi.org/10.1080/12506559.1997.10511266.

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2

CAI, CHUNPEI, QUANHUA SUN, and IAIN D. BOYD. "Gas flows in microchannels and microtubes." Journal of Fluid Mechanics 589 (October 8, 2007): 305–14. http://dx.doi.org/10.1017/s0022112007008178.

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This study analyses compressible gas flows through microchannels or microtubes, and develops two complete sets of asymptotic solutions. It is a natural extension of the previous work by Arkilicet al. on compressible flows through microchannels. First, by comparing the magnitudes of different forces in the compressible gas flow, we obtain proper estimations for the Reynolds and Mach numbers at the outlets. Second, based on these estimations, we obtain asymptotic analytical solutions of velocities, pressure and temperature distributions of compressible gas flow inside the microchannels and micro

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3

Moore, J., and K. M. Elward. "Shock Formation in Overexpanded Tip Leakage Flow." Journal of Turbomachinery 115, no. 3 (1993): 392–99. http://dx.doi.org/10.1115/1.2929266.

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Shock formation due to overexpansion of supersonic flow at the inlet to the tip clearance gap of a turbomachine has been studied. The flow was modeled on a water table using a sharp-edged rectangular channel. The flow exhibited an oblique hydraulic jump starting on the channel sidewall near the channel entrance. This flow was analyzed using hydraulic theory. The results suggest a model for the formation of the jump. The hydraulic analogy between free surface water flows and compressible gas flows is used to predict the location and strength of oblique shocks in analogous tip leakage flows. Fea

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4

Blanc, Xavier, Raphaël Danchin, Bernard Ducomet, and Šárka Nečasová. "The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings." Journal of Hyperbolic Differential Equations 18, no. 01 (2021): 169–93. http://dx.doi.org/10.1142/s0219891621500041.

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We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, and that the initial velocity is close to some reference vector field [Formula: see text] such that the spectrum of [Formula: see text] is positive and bounded away from zero. We prove the existence of a global unique solution with (fractional) Sobolev regularity, and algebraic time decay estimates. Our work extends Grassin and Serre’s papers [Existence de solutions globales et régulières aux équations d’Euler pour un

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5

Welsh, Stephanie, Evy Kersalé, and Chris A. Jones. "Compressible Taylor–Couette flow – instability mechanism and codimension 3 points." Journal of Fluid Mechanics 750 (June 10, 2014): 555–77. http://dx.doi.org/10.1017/jfm.2014.279.

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AbstractTaylor–Couette flow in a compressible perfect gas is studied. The onset of instability is examined as a function of the Reynolds numbers of the inner and outer cylinder, the Mach number of the flow and the Prandtl number of the gas. We focus on the case of a wide gap, with radius ratio 0.5. We find new modes of instability at high Prandtl number, which can allow oscillatory axisymmetric modes to onset first. We also find that onset can occur even when the angular momentum increases outwards, so that the classical Rayleigh criterion can be violated in the compressible case. We have also

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6

GOPINATH, ARVIND, SHING B. CHEN, and DONALD L. KOCH. "Lubrication flows between spherical particles colliding in a compressible non-continuum gas." Journal of Fluid Mechanics 344 (August 10, 1997): 245–69. http://dx.doi.org/10.1017/s002211209700606x.

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The low-Reynolds-number collision and rebound of two rigid spheres moving in an ideal isothermal gas is studied in the lubrication limit. The spheres are non-Brownian in nature with radii much larger than the mean-free path of the molecules. The nature of the flow in the gap between the particles depends on the relative magnitudes of the minimum gap thickness, h′o, the mean-free path of the bulk gas molecules, λo, and the gap thickness at which compressibility effects become important, hc. Both the compressible nature of the gas and the non-continuum nature of the flow in the gap are included

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7

Matušů-Nečasová, Šárka. "Global solution of viscous compressible barotropic multipolar gas in a finite channel with nonzero input and output." Applications of Mathematics 37, no. 3 (1992): 161–71. http://dx.doi.org/10.21136/am.1992.104501.

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8

MANELA, A., and I. FRANKEL. "On the compressible Taylor–Couette problem." Journal of Fluid Mechanics 588 (September 24, 2007): 59–74. http://dx.doi.org/10.1017/s0022112007007422.

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We consider the linear temporal stability of a Couette flow of a Maxwell gas within the gap between a rotating inner cylinder and a concentric stationary outer cylinder both maintained at the same temperature. The neutral curve is obtained for arbitrary Mach (Ma) and arbitrarily small Knudsen (Kn) numbers by use of a ‘slip-flow’ continuum model and is verified via comparison to direct simulation Monte Carlo results. At subsonic rotation speeds we find, for the radial ratios considered here, that the neutral curve nearly coincides with the constant-Reynolds-number curve pertaining to the critic

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9

Liu, Jian, and Shi Qing Wang. "Weakly Compressible Fluid Model to Study Thermal Effects on Laser Propagating in Closed Tube." Advanced Materials Research 354-355 (October 2011): 165–69. http://dx.doi.org/10.4028/www.scientific.net/amr.354-355.165.

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Analyzed the iso-pressure approximate model used in laser propagation in gas medium and pointed out its disadvantage under complex border conditions. The weakly compressible fluid model was developed which was based on the Mach uniform method introduced by Peter Wesseling. Using the weakly compressible fluid model and scalar wave equation, a numerical study was carried out for the gas thermal effects on laser propagating in a closed tube full-filled with air. The far-field beam shape at different time were obtained and compared with the experiment ones. It is shown that the weakly compressible

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10

Feldman, Y., Y. Kligerman, and I. Etsion. "Stiffness and Efficiency Optimization of a Hydrostatic Laser Surface Textured Gas Seal." Journal of Tribology 129, no. 2 (2006): 407–10. http://dx.doi.org/10.1115/1.2540120.

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Microdimples generated by laser surface texturing (LST) can be used to enhance performance in hydrostatic gas-lubricated mechanical seals. This is achieved by applying microdimples with high area density over a certain portion of the sealing dam width adjacent to the high-pressure side, leaving the remaining portion untextured. The textured portion provides an equivalent larger gap that results in converging clearance in the direction of pressure drop and hence, hydrostatic pressure buildup, similar to that of a radial step seal. A mathematical model based on the solution of the Reynolds equat

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11

Thomas, Sébastien, Noël Brunetière, and Bernard Tournerie. "Thermoelastohydrodynamic Behavior of Mechanical Gas Face Seals Operating at High Pressure." Journal of Tribology 129, no. 4 (2007): 841–50. http://dx.doi.org/10.1115/1.2768086.

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A numerical modeling of thermoelastohydrodynamic mechanical face seal behavior is presented. The model is an axisymmetric one and it is confined to high pressure compressible flow. It takes into account the behavior of a real gas and includes thermal and inertia effects, as well as a choked flow condition. In addition, heat transfer between the fluid film and the seal faces is computed, as are the elastic and thermal distortions of the rings. In the first part of this paper, the influence of the coning angle on mechanical face seal characteristics is studied. In the second part, the influence

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12

Sulistyani, Eko Tri, and Rizky Ananda. "The Study of Symmetry Energy in Pasta of Neutron Star From Compressible Liquid Drop Model Approximation." Proceeding International Conference on Science and Engineering 2 (March 1, 2019): 61–72. http://dx.doi.org/10.14421/icse.v2.56.

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The properties of pasta which is located at the bottom of inner crust from neutron star has been studied by using compressibl e liquid drop model. Compressible liquid drop model is a modified liquid drop model as a density function. Liquid drop model based on assumption that the magnitude of nucleus bonding energy is contribution of surface, Coulomb, volume, symmetry, and proton -neutron pair effect. Pasta of neutron star behaves like liquid crystals (mesomhorpic phase). The top layer of pasta filled by free neutron gas, while in the lowest layer of the pasta is filled by proton-neutron gas. T

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13

Jiang, Jie, Yi Yong Yang, Yong Jian Li, and Wei Feng Huang. "Influence of Gas Condensability on Labyrinth Seal's Sealability." Applied Mechanics and Materials 575 (June 2014): 355–62. http://dx.doi.org/10.4028/www.scientific.net/amm.575.355.

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Labyrinth seals are widely used in rotating fluid machinery, due to its simplicity, low-cost and reliability. In this paper, the effect of cavities on leakage loss in straight-through labyrinth seals are studied by changing gas condensability. The fluid flow characteristics through straight-through labyrinth seals are obtained by using viscous flow analysis along with a RNG k-ε turbulence model. The numerical calculation and various gas pressure is that leakage of compressible gas is greater than that of incompressible gas. The result is investigated by the heating effect of labyrinth seal and

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14

Rani, Sunita, Manoj Puri, and Sarva Jit Singh. "Plane strain consolidation of a compressible clay stratum by surface loads." Geomechanics and Engineering 7, no. 4 (2014): 355–74. http://dx.doi.org/10.12989/gae.2014.7.4.355.

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15

Otobe, Yumiko, Hideo Kashimura, Shigeru Matsuo, Masanori Tanaka, and Toshiaki Setoguchi. "CHARACTERISTICS OF MACH DISK AND SONIC LINE OF UNDER-EXPANDED AXISYMMETRIC AIR JET EXHAUST TO REST GAS(Compressible Flow)." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2005 (2005): 673–76. http://dx.doi.org/10.1299/jsmeicjwsf.2005.673.

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16

Hicks, Peter D., and Richard Purvis. "Liquid–solid impacts with compressible gas cushioning." Journal of Fluid Mechanics 735 (October 22, 2013): 120–49. http://dx.doi.org/10.1017/jfm.2013.487.

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AbstractThe role played by gas compressibility in gas-cushioned liquid–solid impacts is investigated within a viscous gas and inviscid liquid regime. A full analysis of the energy conservation in the gas is conducted for the first time, which indicates that both thermal diffusion across the gas film and viscous dissipation play an important role in gas cushioning once gas compression becomes significant. Consequently existing models of gas compressibility based on either an isothermal or an adiabatic equation of state for the gas do not fully reflect the physics associated with this phenomenon

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17

Cousin, A. T., G. G. Doronin, C. L. Frota, and N. A. Larkin. "On one compressible dusty gas model." Journal of Inverse and Ill-posed Problems 13, no. 4 (2005): 331–38. http://dx.doi.org/10.1515/156939405775201691.

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18

Cohen, Douglas L. "Hot Particle Drag in Compressible Gas." Aerosol Science and Technology 13, no. 2 (1990): 213–19. http://dx.doi.org/10.1080/02786829008959439.

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19

Li, X., and A. Bhunia. "Instability of plane compressible gas sheets." Acta Mechanica 123, no. 1-4 (1997): 117–33. http://dx.doi.org/10.1007/bf01178405.

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20

Li, Tailong, Ping Chen, and Jian Xie. "Self-Similar Solutions of the Compressible Flow in One-Space Dimension." Journal of Applied Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/194704.

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For the isentropic compressible fluids in one-space dimension, we prove that the Navier-Stokes equations with density-dependent viscosity have neither forward nor backward self-similar strong solutions with finite kinetic energy. Moreover, we obtain the same result for the nonisentropic compressible gas flow, that is, for the fluid dynamics of the Navier-Stokes equations coupled with a transport equation of entropy. These results generalize those in Guo and Jiang's work (2006) where the one-dimensional compressible fluids with constant viscosity are considered.

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21

Pan, Coda H. T. "Compressible Narrow Groove Analysis—Part 1: Derivation." Journal of Tribology 120, no. 4 (1998): 758–64. http://dx.doi.org/10.1115/1.2833776.

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The technique of High-Resolution Modeling of Thin Films is combined with a two-scale analysis to formulate the Compressible Narrow Groove Analysis. The data bank of Fukui and Kaneko (1990) is emulated in the form of an empirical formula to treat the state of arbitrary rarefaction of the gas film. Due to its transcendental character, the compressible fine-scale solution is treated on the fly as a part of the global-scale computation. Derivations for the Compressible Narrow Groove Analysis are presented here. In a companion paper (Pan, 1998), the Compressible Narrow Groove Analysis is used to co

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22

Ding, Ying Tao, Ru Qing Liu, and Ri Na Su. "3D Numerical Simulation of Compressible Gas Synthetic Jet." Applied Mechanics and Materials 152-154 (January 2012): 266–70. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.266.

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Based on standard k-ε turbulent, PISO algorithm and the dynamic mesh model, numerical simulation of the 3D, viscous, unsteady compressible gas synthetic jet model was proposed. Two kinds of diaphragm boundary conditions， Helmholtz frequency characteristics and other factors affecting the performance of the 3D synthetic jet were discussed. Simulation results show that the dynamic mesh diaphragm boundary condition is more consistent with the experimental results and the theoretical results, which demonstrates the rationality of the dynamic mesh 3D compressible gas model.

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23

Robert, Michel P. "Optimization of Self-Acting Gas Bearings for Maximum Static Stiffness." Journal of Applied Mechanics 57, no. 3 (1990): 758–61. http://dx.doi.org/10.1115/1.2897088.

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The gap profile of a two-dimensional self-acting gas bearing is determined such that the static stiffness it can achieve is maximum. Three fundamental profiles are obtained according to the stiffness mode to be considered: normal, pitch, or roll. The optimization process takes place within the framework of the compressible lubrication theory among all the profiles having a given minimum film thickness. The method proposed here is based on the calculus of variations and uses a finite element technique coupled with an iterative mapping to converge to the final solution. As an example, the case o

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24

BENDAHMANE, MOSTAFA, ZIAD KHALIL, and MAZEN SAAD. "CONVERGENCE OF A FINITE VOLUME SCHEME FOR GAS–WATER FLOW IN A MULTI-DIMENSIONAL POROUS MEDIUM." Mathematical Models and Methods in Applied Sciences 24, no. 01 (2013): 145–85. http://dx.doi.org/10.1142/s0218202513500498.

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This paper deals with construction and convergence analysis of a finite volume scheme for compressible/incompressible (gas–water) flows in porous media. The convergence properties of finite volume schemes or finite element scheme are only known for incompressible fluids. We present a new result of convergence in a two or three dimensional porous medium and under the only consideration that the density of gas depends on global pressure. In comparison with incompressible fluid, compressible fluids requires more powerful techniques; especially the discrete energy estimates are not standard.

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25

Hong, Guangyi, and Changjiang Zhu. "Optimal decay rates on the solution to the compressible gas–liquid drift-flux model with slip." Mathematical Models and Methods in Applied Sciences 28, no. 02 (2017): 337–86. http://dx.doi.org/10.1142/s0218202518500094.

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In this paper, the large time behavior of the solution to the initial-boundary problems for the one-dimensional compressible gas–liquid drift-flux model with slip is studied. Under some suitable smallness conditions upon the initial data, the optimal pointwise upper and lower decay estimates on masses as well as the sharpest decay rates for the norms in terms of the velocity function are obtained. This result generalizes the one in [On the large time behavior of the compressible gas–liquid drift-flux model with slip, Math. Models Methods Appl. Sci. 25 (2015) 2175–2215] by Evje and Wen. The key

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26

Lengrand, Jean-Claude, Tatiana G. Elizarova, and Ivan A. Shirokov. "Calcul de l'écoulement visqueux compressible d'un gaz dans un microcanal." La Houille Blanche, no. 1 (January 2006): 40–46. http://dx.doi.org/10.1051/lhb:200601004.

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27

Weder, Mario, Michael Gloor, and Leonhard Kleiser. "Decomposition of the temporal growth rate in linear instability of compressible gas flows." Journal of Fluid Mechanics 778 (July 31, 2015): 120–32. http://dx.doi.org/10.1017/jfm.2015.380.

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We present a decomposition of the temporal growth rate ${\it\omega}_{i}$ which characterises the evolution of wave-like disturbances in linear stability theory for compressible flows. The decomposition is based on the disturbance energy balance by Chu (Acta Mech., vol. 1 (3), 1965, pp. 215–234) and provides terms for production, dissipation and flux of energy as components of ${\it\omega}_{i}$. The inclusion of flux terms makes our formulation applicable to unconfined flows and flows with permeable or vibrating boundaries. The decomposition sheds light on the fundamental mechanisms determining

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28

Drikakis, D., and S. Tsangaris. "Real Gas Effects for Compressible Nozzle Flows." Journal of Fluids Engineering 115, no. 1 (1993): 115–20. http://dx.doi.org/10.1115/1.2910092.

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Numerical simulation of compressible nozzle flows of real gas with or without the addition of heat is presented. A generalized real gas method, using an upwind scheme and curvilinear coordinates, is applied to solve the unsteady compressible Euler equations in axisymmetric form. The present method is an extension of a previous 2D method, which was developed to solve the problem for a gas having the general equation of state in the form p = p(ρ, i). In the present work the method is generalized for an arbitrary P-V-T equation of state introducing an iterative procedure for the determination of

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29

Virk, D., F. Hussain, and R. M. Kerr. "Compressible vortex reconnection." Journal of Fluid Mechanics 304 (December 10, 1995): 47–86. http://dx.doi.org/10.1017/s0022112095004344.

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Reconnection of two antiparallel vortex tubes is studied as a prototypical coherent structure interaction to quantify compressibility effects in vorticity dynamics. Direct numerical simulations of the Navier-Stokes equations for a perfect gas are carried out with initially polytropically related pressure and density fields. For an initial Reynolds number (Re = Γ /v, circulation divided by the kinematic viscosity) of 1000, the pointwise initial maximum Mach number (M) is varied from 0.5 to 1.45. At M=0.5, not surprisingly, the dynamics are essentially incompressible. As M increases, the transfe

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30

Erlebacher, G., M. Y. Hussaini, C. G. Speziale, and T. A. Zang. "Toward the large-eddy simulation of compressible turbulent flows." Journal of Fluid Mechanics 238 (May 1992): 155–85. http://dx.doi.org/10.1017/s0022112092001678.

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New subgrid-scale models for the large-eddy simulation of compressible turbulent flows are developed and tested based on the Favre-filtered equations of motion for an ideal gas. A compressible generalization of the linear combination of the Smagorinsky model and scale-similarity model, in terms of Favre-filtered fields, is obtained for the subgrid-scale stress tensor. An analogous thermal linear combination model is also developed for the subgrid-scale heat flux vector. The two dimensionless constants associated with these subgrid-scale models are obtained by correlating with the results of di

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31

Kyncl, Martin, and Jaroslav Pelant. "The simulation of the gas flow through the porous media and fences." EPJ Web of Conferences 213 (2019): 02051. http://dx.doi.org/10.1051/epjconf/201921302051.

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The paper is focused on the numerical simulation of the compressible gas flow through the porous media and fences. We work with the the non-stationary viscous compressible fluid flow, described by the RANS equations. The flow through the porous media is characterized by the loss of momentum. It is possible to use various methods for the simulation of such flow. Here we present the approach with the modification of the source term, and other possibilities using the modification of the face flux. The original approach was presented recently by the authors analysing the modification of the Rieman

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32

Mourelatos, Zissimos P. "Compressible gas flow between closely spaced plates." International Journal for Numerical Methods in Fluids 14, no. 3 (1992): 299–325. http://dx.doi.org/10.1002/fld.1650140305.

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33

Akiyama, Tetsuo, and Hideyuki Kurimoto. "Compressible gas model of vibrated particle beds." Chemical Engineering Science 43, no. 10 (1988): 2645–53. http://dx.doi.org/10.1016/0009-2509(88)80008-3.

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34

Mulder, W., S. Osher, and James A. Sethian. "Computing interface motion in compressible gas dynamics." Journal of Computational Physics 100, no. 2 (1992): 209–28. http://dx.doi.org/10.1016/0021-9991(92)90229-r.

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35

Morris, S. D. "Compressible gas-liquid flow through pipeline restrictions." Chemical Engineering and Processing: Process Intensification 30, no. 1 (1991): 39–44. http://dx.doi.org/10.1016/0255-2701(91)80007-c.

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36

Karlsen, Haakon, and Tao Dong. "Energy Conversion for Gas Isentropic Compression Process with High Speed Rotation." Applied Mechanics and Materials 336-338 (July 2013): 899–906. http://dx.doi.org/10.4028/www.scientific.net/amm.336-338.899.

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Energy conversion from rotational to thermal is investigated for a compressible ideal gas. The high speed rotation is considered as the driven force of the isentropic compression. The analytical model explaining the thermodynamic parameters (pressure, pressure gradient, density, and especially temperature) are developed. The analytical results are compared with the simulation data obtained from Finite Element Analysis, which employs compressible Navier-Stokes equations and heat equation. A good accordance between the analytical and FEA results has been observed. And it shows a predictable begi

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37

Ko, S. H., and D. L. Rhode. "Thermal Details in a Rotor–Stator Cavity at Engine Conditions With a Mainstream." Journal of Turbomachinery 114, no. 2 (1992): 446–53. http://dx.doi.org/10.1115/1.2929164.

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This investigation involves a numerical study of enclosed Rotor–Stator cavities of gas turbine engines. The complete elliptic form of the 2-D, axisymmetric Navier–Stokes equations for compressible turbulent flow were solved. Included are the complete fluid and thermal effects of the hot mainstream gas interacting with the cooling cavity purge flow at actual engine flow conditions for generalized geometries. Additional flow conditions above and below those for engine nominal conditions are also considered. The relationships among the important flow parameters are investigated by examining the e

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38

Jai, M., G. Buscaglia, and I. Iordanoff. "Multi-Constrained Optimization of Running Characteristics of Mechanisms Lubricated With Compressible Fluid." Journal of Tribology 126, no. 1 (2004): 132–36. http://dx.doi.org/10.1115/1.1631011.

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The optimal design of gas-lubricated contacts is addressed, with emphasis on appropriate strategies for the management of constraints that usually arise from physical or manufacturing considerations. The necessary tools for evaluating the objective function (which is the load capacity in this case) and its gradient are recalled. The presentation aims at “black-box” implementations in which an optimization package is coupled with a completely independent Reynolds-equation solver. In our implementation DONLP2 is used as optimizer, while the solver is a Galerkin finite-element code. Two applicati

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39

Xu, Wanjun, and Jiangang Yang. "Accuracy analysis of narrow groove theory for spiral grooved gas seals: A comparative study with numerical solution of Reynolds equation." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 233, no. 6 (2018): 899–910. http://dx.doi.org/10.1177/1350650118806396.

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This study examined the accuracy of narrow groove theory for spiral grooved gas seals. Designed for compressible fluids, a finite difference method was proposed to solve the two-dimensional compressible Reynolds equation. The predictions of narrow groove theory were compared with those of the Reynolds equation. The typical performance parameters including gas film force, leakage, gas film stiffness, and torque were analyzed. The results show that the predictions of narrow groove theory generally agree with those of finite difference method when the number of grooves is more than eight. The gas

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40

Bert, C. W., and M. Malik. "Transient Analysis of Gas-Lubricated Journal Bearing Systems by Differential Quadrature." Journal of Tribology 119, no. 1 (1997): 91–99. http://dx.doi.org/10.1115/1.2832489.

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This paper is an extension of an earlier work in which the present authors demonstrated the application of the differential quadrature method (DQM) to the steady-state analysis of incompressible and compressible lubrication problems. In the present work, the DQM is applied to the transient-state analysis of compressible lubrication problems. For this purpose, the analysis of gas-lubricated plain journal bearings under the conditions of nonuniform journal rotation is considered. The computed results from the solutions of the reference problem included in the paper provide a comparison of the co

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41

Wang, Jiantao, Gang Liu, Xiong Jiang та Bin Mou. "ρ-VOF: An interface sharpening method for gas–liquid flow simulation". Modern Physics Letters B 32, № 12n13 (2018): 1840017. http://dx.doi.org/10.1142/s0217984918400171.

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The study on simulation of compressible gas–liquid flow remains open. Popular methods are either confined to incompressible flow regime, or inevitably induce smear of the free interface. A new finite volume method for compressible two-phase flow simulation is contributed for this subject. First, the “heterogeneous equilibrium” assumption is introduced to the control volume, by hiring free interface reconstruction technology, the distribution of each component in the control volume is achieved. Next, AUSM[Formula: see text]-up (advection upstream splitting method) scheme is employed to calculat

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42

Yang, Li-Ming, Chang Shu, Wen-Ming Yang, and Yan Wang. "Extension of lattice Boltzmann flux solver for simulation of compressible multi-component flows." Modern Physics Letters B 32, no. 12n13 (2018): 1840001. http://dx.doi.org/10.1142/s0217984918400018.

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The lattice Boltzmann flux solver (LBFS), which was presented by Shu and his coworkers for solving compressible fluid flow problems, is extended to simulate compressible multi-component flows in this work. To solve the two-phase gas–liquid problems, the model equations with stiffened gas equation of state are adopted. In this model, two additional non-conservative equations are introduced to represent the material interfaces, apart from the classical Euler equations. We first convert the interface equations into the full conservative form by applying the mass equation. After that, we calculate

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43

MARUŠIĆ-PALOKA, EDUARD, and MAJA STARČEVIĆ. "ASYMPTOTIC ANALYSIS OF AN ISOTHERMAL GAS FLOW THROUGH A LONG OR THIN PIPE." Mathematical Models and Methods in Applied Sciences 19, no. 04 (2009): 631–49. http://dx.doi.org/10.1142/s0218202509003553.

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In this paper we study the compressible stationary isothermal flow through a thin (or long) straight pipe. Starting from the compressible Stokes system, via rigorous asymptotic analysis, as the pipe's thickness tends to zero, we obtain the 1D model describing the effective behavior of the flow. The uniqueness of the solution for such model is proved, if the first component of the function g, appearing on the right-hand side of the system, does not change its sign. If it does change the sign, an example of non-uniqueness of the solution is given.

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CHEN, GENG. "FORMATION OF SINGULARITY AND SMOOTH WAVE PROPAGATION FOR THE NON-ISENTROPIC COMPRESSIBLE EULER EQUATIONS." Journal of Hyperbolic Differential Equations 08, no. 04 (2011): 671–90. http://dx.doi.org/10.1142/s0219891611002536.

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We define the notion of compressive and rarefactive waves and derive the differential equations describing smooth wave steepening for the compressible Euler equations with a varying entropy profile and general pressure laws. Using these differential equations, we directly generalize Lax's singularity (shock wave) formation results (established in 1964 for hyperbolic systems with two variables) to the 3 × 3 compressible Euler equations for a polytropic ideal gas. Our results are valid globally without restriction on the size of the variation of initial data.

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Song, Yukun, Shuai Chen, and Fengming Liu. "The well-posedness of solution to a compressible non-Newtonian fluid with self-gravitational potential." Open Mathematics 16, no. 1 (2018): 1466–77. http://dx.doi.org/10.1515/math-2018-0122.

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AbstractWe study the initial boundary value problem of a compressible non-Newtonian fluid. The system describes the motion of the compressible viscous isentropic gas flow driven by the non-Newtonian self-gravitational force. The existence of strong solutions are derived in one dimensional bounded intervals by constructing a semi-discrete Galerkin scheme. Moreover, the uniqueness of solutions are also investigated. The main point of the study is that the viscosity term and potential term are fully nonlinear, and the initial vacuum is allowed.

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Kyncl, Martin, and Jaroslav Pelant. "The simulation of the flow through the porous media and diffusible barriers." EPJ Web of Conferences 180 (2018): 02052. http://dx.doi.org/10.1051/epjconf/201818002052.

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Here we work with the RANS equations describing the non-stationary viscous compressible fluid flow. We focus on the numerical simulation of the flow through the porous media, characterized by the loss of momentum. Further we simulate the flow through the set of diffusible barriers. Here we analyze the modification of the Riemann problem with one-side initial condition, complemented with the Darcy’s law and added inertial loss. We show the computational results obtained with the own-developed code for the solution of the compressible gas flow.

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Zirkelback, Nicole, and Luis San Andre´s. "Effect of Frequency Excitation on Force Coefficients of Spiral Groove Gas Seals." Journal of Tribology 121, no. 4 (1999): 853–61. http://dx.doi.org/10.1115/1.2834145.

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An analysis for compressible fluid spiral groove thrust bearings (SGTBs) and face seals (SGFSs) is presented. Zeroth- and first-order equations rendering the static and dynamic performance of SGFSs, respectively, are solved using the finite element method with a successive approximation scheme. Comparison of the present isothermal compressible fluid model for static and dynamic SGTB and SGFS performance validates previous narrow groove theory, finite difference, and finite element analyses. A discussion follows to indicate the importance of using a small number of grooves to prevent instabilit

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Fan, Lili, Guiqiong Gong, and Shaojun Tang. "Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity." Analysis and Applications 17, no. 02 (2019): 211–34. http://dx.doi.org/10.1142/s0219530518500239.

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This paper is concerned with the Cauchy problem of heat-conductive ideal gas without viscosity, where the far field states are prescribed. When the corresponding Riemann problem for the compressible Euler system has the solution consisting of a contact discontinuity and rarefaction waves, we show that if the strengths of the wave patterns and the initial perturbation are suitably small, the unique global-in-time solution exists and asymptotically tends to the corresponding composition of a viscous contact wave with rarefaction waves, which extended the results by Huang–Li–Matsumura [Asymptotic

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El-Sayed, M. F., and M. I. Syam. "Electrohydrodynamic instability of a dielectric compressible liquid sheet streaming into an ambient stationary compressible gas." Archive of Applied Mechanics 77, no. 9 (2007): 613–26. http://dx.doi.org/10.1007/s00419-007-0118-0.

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Barreto, Abelardo B., Alvaro M. M. Peres, and Adolfo P. Pires. "A Variable-Rate Solution to the Nonlinear Diffusivity Gas Equation by Use of Green's-Function Method." SPE Journal 18, no. 01 (2012): 57–68. http://dx.doi.org/10.2118/145468-pa.

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Summary The hydraulic diffusivity equation that governs the flow of compressible fluids in porous media is nonlinear. Although the gas-well test analysis by means of the pseudopressure function has become a standard field practice, the effect of viscosity and gas-compressibility variation with pressure is often neglected. Moreover, in field operations, the gas well is submitted to a variable rate production to determine well/reservoir properties and an estimation of the absolute open flow (AOF). For slightly compressible fluids, variable rate can be properly handled by superposition in time. U

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