Investigation of rotational relaxation in nitrogen via molecular dynamics simulation

Paolo Valentini, Chonglin Zhang, Thomas E. Schwartzentruber

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


The objective of this study is to use Molecular Dynamics simulation to evaluate the rotational relaxation process in nitrogen from a first-principles perspective. The intermolecular model used in the MD simulations is shown to (i) reproduce very well the shear viscosity of nitrogen over a wide range of temperatures, (ii) predict the near-equilibrium rotational collision number in good agreement with published trajectory calculations done on ab initio Potential Energy Surfaces, and (iii) produce shock wave profiles in excellent accordance with the experimental measurements. The rotational relaxation process is found to be dependent not only on the near-equilibrium temperature (i.e., when systems relax to equilibrium after a small perturbation), but more importantly on both the magnitude and direction of the initial deviation from the equilibrium state. Although this dependence has been previously recognized, it is here investigated systematically. The comparison between MD and DSMC, based on the Larsen-Borgnakke model, for shock waves (both at low and high temperatures) and one-dimensional expansions shows that a judicious choice of a constant Zrot can produce DSMC results which are in relatively good agreement with MD. However, the selection of the rotational collision number is case-specific, depending not only on the temperature range, but more importantly on the type of flow (compression or expansion), with significant limitations for more complex simulations characterized both by expansion and compression zones. Parker's model, parametrized for nitrogen, overpredicts the magnitude of Zrot for temperatures above about 300 K. It is also unable to describe the dependence of the relaxation process on the direction to equilibrium. Finally, based on the MD data, a preliminary formulation for a novel rotational relaxation model, which includes a dependence on both the rotational and the translational state of the gas, is presented." 2012 by P. Valentini, C. Zhang, and T. E. Schwartzentruber.

Original languageEnglish (US)
Title of host publication43rd AIAA Thermophysics Conference 2012
StatePublished - Dec 1 2012
Event43rd AIAA Thermophysics Conference 2012 - New Orleans, LA, United States
Duration: Jun 25 2012Jun 28 2012

Publication series

Name43rd AIAA Thermophysics Conference 2012


Other43rd AIAA Thermophysics Conference 2012
Country/TerritoryUnited States
CityNew Orleans, LA


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