journal article Apr 01, 2014

Three-dimensional analytic probabilities of coupled vibrational-rotational-translational energy transfer for DSMC modeling of nonequilibrium flows

View at Publisher Save 10.1063/1.4872336
Abstract
A three-dimensional, nonperturbative, semiclassical analytic model of vibrational energy transfer in collisions between a rotating diatomic molecule and an atom, and between two rotating diatomic molecules (Forced Harmonic Oscillator–Free Rotation model) has been extended to incorporate rotational relaxation and coupling between vibrational, translational, and rotational energy transfer. The model is based on analysis of semiclassical trajectories of rotating molecules interacting by a repulsive exponential atom-to-atom potential. The model predictions are compared with the results of three-dimensional close-coupled semiclassical trajectory calculations using the same potential energy surface. The comparison demonstrates good agreement between analytic and numerical probabilities of rotational and vibrational energy transfer processes, over a wide range of total collision energies, rotational energies, and impact parameter. The model predicts probabilities of single-quantum and multi-quantum vibrational-rotational transitions and is applicable up to very high collision energies and quantum numbers. Closed-form analytic expressions for these transition probabilities lend themselves to straightforward incorporation into DSMC nonequilibrium flow codes.
Topics

No keywords indexed for this article. Browse by subject →

References
39
[1]
(1988)
[2]
"Vibrational kinetics, dissociation and ionization of diatomic molecules under nonequilibrium conditions" (1986)
[3]
(1990)
[4]
"Thermodynamics, transport and kinetics of equilibrium and non-equilibrium plasmas: A state-to-state approach" Plasma Chem. Plasma Process. (2012) 10.1007/s11090-011-9339-7
[6]
"Semi-classical calculations of rate constants for vibrational transitions in hydrogen" Chem. Phys. Lett. (1993) 10.1016/0009-2614(93)89357-n
[7]
"Rate constants for vibrational transitions in hydrogen and isotopes" Chem. Phys. (1993) 10.1016/0301-0104(93)80065-h
[8]
"Vibrational-rotational energy transfer in H2-H2 collisions. I. Semiclassical decoupling approximation" J. Chem. Phys. (1999) 10.1063/1.479517
[9]
"Vibrational–rotational energy transfer in H2-H2 collisions. II. The relative roles of the initial rotational excitation of both diatoms" Chem. Phys. Lett. (1999) 10.1016/s0009-2614(99)00975-6
[10]
"VV and VT rate coefficients in N2 by a quantum-classical model" Chem. Phys. (1979) 10.1016/0301-0104(79)85207-6
[11]
"Vibrational energy transfer in N2-N2 collisions: A new semiclassical study" J. Chem. Phys. (2005) 10.1063/1.2101445
[12]
"Vibrational relaxation of oxygen. State to state rate constants" Chem. Phys. Lett. (1992) 10.1016/0009-2614(92)87008-d
[13]
"Vibrational energy transfer in molecular oxygen collisions" Chem. Phys. Lett. (2002) 10.1016/s0009-2614(02)00279-8
[14]
"VV and VT rates in N2-O2 collisions" Chem. Phys. (1994) 10.1016/0301-0104(94)87022-5
[15]
"Deactivation of vibrationally excited nitrogen molecules by collision with nitrogen atoms" J. Phys. Chem. (1987) 10.1021/j100286a015
[16]
"Temperature dependence of N+N2 rate coefficients" J. Phys. Chem. (1994) 10.1021/j100053a025
[17]
"Deactivation dynamics of vibrationally excited nitrogen molecules by nitrogen atoms. Effects on non-equilibrium vibrational distribution and dissociation rates of nitrogen under electrical discharges" Chem. Phys. Lett. (1992) 10.1016/0009-2614(92)80097-u
[18]
"Dissociation cross-sections and rate coefficients for nitrogen from accurate theoretical calculations" (2008)
[19]
"Vibrational and rotational excitation and relaxation of nitrogen from accurate theoretical calculations" (2008)
[20]
"Theoretical analysis of N2 collisional dissociation and rotation–vibration energy transfer" (2009)
[21]
"Vibration–rotation excitation and dissociation in N2- N2 collisions from accurate theoretical calculations" (2010)
[22]
"Quasiclassical molecular dynamic calculations of vibrationally and rotationally state selected dissociation cross-sections: N+N2(v,j) → 3N" Chem. Phys. Lett. (1999) 10.1016/s0009-2614(99)00099-8
[23]
"Quasi-classical dynamics and vibrational kinetics of N+N2(v) system" Chem. Phys. (2000) 10.1016/s0301-0104(00)00155-5
[24]
"QCT calculations for the process N2(v) + N → N2(v′) + N in the whole vibrational range" Chem. Phys. Lett. (2006) 10.1016/j.cplett.2005.11.036
[25]
"Coarse-grain model for internal energy excitation and dissociation of molecular nitrogen" Chem. Phys. (2012) 10.1016/j.chemphys.2011.10.009
[26]
"QCT-based vibrational collisional models applied to nonequilibrium nozzle flows" Eur. Phys. J. D (2012) 10.1140/epjd/e2012-30079-3
[27]
"Rovibrational internal energy transfer and dissociation of N2(1Σg+) – N(4Su) system in hypersonic flows" J. Chem. Phys. (2013) 10.1063/1.4774412
[28]
"Monte Carlo simulation of nitrogen dissociation based onstate-resolved cross sections" Phys. Fluids (2014) 10.1063/1.4862541
[29]
"Three-dimensional nonperturbative analytic model of vibrational energy transfer in atom-molecule collisions" J. Chem. Phys. (1998) 10.1063/1.477417
[30]
"Three-dimensional model of vibrational energy transfer in molecule-molecule collisions" AIAA J. (2001) 10.2514/2.1181
[31]
"Semiclassical modeling of state-specific dissociation rates in diatomic gases" J. Chem. Phys. (2000) 10.1063/1.1313386
[32]
"State resolved vibrational relaxation modeling for strongly nonequilibrium flows" Phys. Fluids (2011) 10.1063/1.3584128
[33]
"Consistent implementation of state-to-state collision models for direct simulation Monte Carlo" (2014)
[34]
"Approximate treatments of rotational relaxation" Chem. Phys. (1979) 10.1016/0301-0104(79)85123-x
[35]
"Rotational relaxation and transport coefficients for diatomic gases: Computations on nitrogen" J. Phys. Chem. (1984) 10.1021/j150650a040
[36]
"Rate constants and cross sections for vibrational transitions in atom-diatom and diatom-diatom collisions" Comput. Phys. Commun. (1984) 10.1016/0010-4655(84)90007-9
[37]
"Rate constants for vibrational transitions in diatom-diatom collisions" Comput. Phys. Commun. (1987) 10.1016/0010-4655(87)90022-1
[38]
"Inelastic collision selection procedures for direct simulation monte carlo calculations of gas mixtures" Phys. Fluids (2013) 10.1063/1.4825340
[39]
"Molecular dynamics simulation of rotational relaxation in nitrogen: implications for rotational collision number models" Phys. Fluids (2012) 10.1063/1.4757119
Metrics
18
Citations
39
References
Details
Published
Apr 01, 2014
Vol/Issue
26(4)
Cite This Article
Igor V. Adamovich (2014). Three-dimensional analytic probabilities of coupled vibrational-rotational-translational energy transfer for DSMC modeling of nonequilibrium flows. Physics of Fluids, 26(4). https://doi.org/10.1063/1.4872336
Related

You May Also Like

The formation and evolution of synthetic jets

Barton L. Smith, Ari Glezer · 1998

1,104 citations

Momentum transfer of a Boltzmann-lattice fluid with boundaries

M’hamed Bouzidi, Mouaouia Firdaouss · 2001

1,079 citations

Electrospinning and electrically forced jets. I. Stability theory

Moses M. Hohman, Michael Shin · 2001

901 citations