Abstract
The effect of molecular models on viscosity and thermal conductivity calculations is investigated. The Direct Simulation Monte Carlo (DSMC) method for rarefied gas flows is used to simulateCouette and Fourier flows as a means of obtaining the transport coefficients. Experimentalmeasurements for argon (Ar) provide a baseline for comparison over a wide temperature range of 100–1,500 K. The variable hard sphere (VHS), variable soft sphere (VSS), and Lennard-Jones (L-J) molecular models have been implemented into a parallel version of Bird’s one-dimensional DSMC code, DSMC1, and the model parameters have been recalibrated to the current experimental data set. While the VHS and VSS models only consider the short-range, repulsive forces, the L-J model also includes constributions from the long-range, dispersion forces. Theoretical results for viscosity and thermal conductivity indicate the L-J model is more accurate than the VSS model; with maximum errors of 1.4% and 3.0% in the range 300–1,500 K for L-J and VSS models, respectively. The range of validity of the VSS model is extended to 1,650 K through appropriate choices for the model parameters.
Date of this Version
2014
DOI
10.1063/1.4902582
Recommended Citation
Weaver, Andrew B. and Alexeenko, Alina A., "Effect of molecular models on viscosity and thermal conductivity calculations" (2014). School of Aeronautics and Astronautics Faculty Publications. Paper 42.
http://dx.doi.org/10.1063/1.4902582
Comments
Copyright (2014) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in (A. B. Weaver*, A. Alexeenko, “Effect of molecular models on viscosity and thermal conductivity calculations”, Proceedings of 29th International Symposium on Rarefied Gas Dynamics, Xi’an, China, July 13-19, 2014.) and may be found at http://dx.doi.org/10.1063/1.4902582. The following article has been submitted to/accepted by [American Institute of Physics]. After it is published, it will be found at (http://dx.doi.org/10.1063/1.4902582). Copyright (2014) A. B. Weaver*, A. Alexeenko. This article is distributed under a Creative Commons Attribution 3.0 Unported License.