Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-23T15:22:18.467Z Has data issue: false hasContentIssue false
  • English
  • Français

Supersonic Flows with Nontraditional Transport Described by Kinetic Methods

Published online by Cambridge University Press:  20 August 2015

V. V. Aristov ,
A. A. Frolova  and
S. A. Zabelok
V. V. Aristov*
Affiliation:
Dorodnicyn Computing Center of Russian Academy of Sciences, Vavilova str. 40, Moscow, 119333, Russia
A. A. Frolova*
Affiliation:
Dorodnicyn Computing Center of Russian Academy of Sciences, Vavilova str. 40, Moscow, 119333, Russia
S. A. Zabelok*
Affiliation:
Dorodnicyn Computing Center of Russian Academy of Sciences, Vavilova str. 40, Moscow, 119333, Russia
*
Corresponding author.Email:aristov@ccas.ru
Email:afrol@ccas.ru
Email:serge@ccas.ru
Get access

Abstract

A new class of supersonic nonequilibrium flows is studied on the basis of solving the Boltzmann and model kinetic equations with the aim to consider new non-linear structures in open systems and to study anomalous transfer properties in relaxation zones. The Unified Flow Solver is applied for numerical simulations. Simple gases and gases with inner degrees of freedom are considered. The experimental data related to the influence of the so-called optical lattices on the supersonic molecular beams are considered and numerical analysis of the nonequilibrium states obtained on this basis is made. The nonuniform relaxation problem with these distributions is simulated numerically and anomalous transport is confirmed. The conditions for strong changes of the temperature in the anomalous transfer zones are discussed and are realized in computations.

Keywords

05.20.Dd47.45.Ab51.10.+yThe Boltzmann equationanomalous transportrelaxation zones
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 4 , April 2012 , pp. 1334 - 1346
Copyright
Copyright © Global Science Press Limited 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Sone, Y., Molecular Gas Dynamics, Birkhauser, Boston, 2006.Google Scholar
[2]Aristov, V. V., A steady state, supersonic flow solution of the Boltzmann equation, Phys. Lett. A, 250 (1998), 354–359.Google Scholar
[3]Aristov, V. V., Direct Methods of Solving the Boltzmann Equation and Study of Nonequilib-rium Flows, Kluwer Academic Publishers, Dordrecht, 2001.Google Scholar
[4]Aristov, V. V., Frolova, A. A. and Zabelok, S. A., A new effect of the nongradient transport in relaxation zones, A Letters Journal Exploring the Frontiers of Physics, 88 (2009), 30012.Google Scholar
[5]Kolobov, V. I., Arslanbekov, R. R., Aristov, V. V., Frolova, A. A. and Zabelok, S. A., Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement, J. Comput. Phys., 223 (2007), 589–608.Google Scholar
[6]Bird, G., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon Press, Oxford, 1994.Google Scholar
[7]Andries, P., Aoki, K. and Perthame, B., A consistent BGK-type model for gas mixtures, J. Stat. Phys., 106 (2002), 993–1018.CrossRefGoogle Scholar
[8]Bhatnagar, P. L., Gross, E. P. and Krook, M., A model for collision processes in gases I. small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94 (1954), 511–525.Google Scholar
[9]Rykov, V. A., Titarev, V. A. and Shakhov, E. M., Shock wave structure in a diatomic gas based on a kinetic model, Fluid Dyn., 43 (2008), 316–326.Google Scholar
[10]Yano, R., Suzuki, K. and Kuroda, H., Formulation and numerical analysis of diatomic molecular dissociation using Boltzmann kinetic equation, Phys. Fluids, 19 (2007), 017103.Google Scholar
[11]Aristov, V. V., Frolova, A. A. and Zabelok, S. A, Nonequilibrium transport processes in problems on the nonuniform relaxation, Mat. Model., 21 (2009), 59–75 (in Russian).Google Scholar
[12]Wilkinson, S. R., Bharucha, C. F., Fischer, M. C., Madison, K. W., Morrow, P. R., Niu, Q., Sundaran, B. and Raizen, M. G., Experimental evidence for non-exponential decay in quantum tunnelling, Nature, 387 (1997), 575–577.Google Scholar
[13]Steck, D. A., Oskay, W. H. and Raizen, P. F., Observation of chaos-assisted tunneling between islands of stability, Science, 293 (2001), 274–278.Google Scholar
[14]Fulton, R., Bishop, A. I., Schneider, M. N. and Barker, P. F., Controlling the motion of cold molecules with deep periodic optical potentials, Nature Phys., 2 (2006), 465–468.Google Scholar
[15]Barker, P. F. and Schneider, M. N., Optical microlinear accelerator for molecules and atoms, Phys. Rev. A, 64 (2001), 033408.Google Scholar
[16]Wolf, K. L., Briegleb, G. and Stuart, H. A., Z. Phys. Chem. B, 6 (1929), 163–209.Google Scholar