Ab initio calculation of rarefied flows of helium-neon mixture: Classical vs quantum scatterings. (December 2019)

• Record Type: Journal Article
• Authors: Zhu, Lianhua; Wu, Lei; Zhang, Yonghao; Sharipov, Felix
• Is Part Of: International journal of heat and mass transfer. Volume 145(2019)
• Publication Date: 2019-12
• Subjects: Quantum scattering -- Heat transfer -- Direct simulation Monte Carlo -- Ab initio potential; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2019.118765
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The DSMC method with ab initio potentials is used to study the Couette and Fourier flows of rarefied He-Ne mixture. Both classical and quantum approaches are used in the interatomic interaction. The quantum effects at cryogenic temperatures are examined. The collision procedure with ab initio potentials has been implemented as a sub-model of the dsmcFoam+ solver. Abstract: In order to faithfully simulate rarefied gas flows of light-weight molecules at cryogenic temperatures down to several kelvins, the Boltzmann equation with the differential cross section calculated from the realistic intermolecular potential should be applied. In the present work, the direct simulation Monte Carlo (DSMC) method with ab initio intermolecular potentials is first implemented into the open-source software dsmcFoam+ for the simulation of general rarefied gas flows. Then, Fourier and Couette flows of the helium-neon mixture are studied for the temperature ranging from 10 K to 2000 K, where the differential cross sections calculated from both classical and quantum mechanics have been used. Our simulation results show that the quantum scattering effects on the heat flux and shear stress are non-negligible when the equilibrium temperature is lower than 500 K. Also, for the Fourier flow, the mole fraction distributions calculated from the quantum scattering are significantly different from those of classical scattering.