Influence of intermolecular potentials on rarefied gas flows : fast spectral solutions of the Boltzmann equation

Wu, Lei and Liu, Haihu and Zhang, Yonghao and Reese, Jason M. (2015) Influence of intermolecular potentials on rarefied gas flows : fast spectral solutions of the Boltzmann equation. Physics of Fluids, 27 (8). 082002. ISSN 1070-6631

[img]
Preview
 Text (Wu-etal-PhysFluids-2015-Influence-of-intermolecular-potentials-rarefied-gas-flows-fast-spectral-solutions-Boltzmann)
Wu_etal_PhysFluids_2015_Influence_of_intermolecular_potentials_rarefied_gas_flows_fast_spectral_solutions_Boltzmann.pdf
Final Published Version
License: Creative Commons Attribution 4.0 logo
Download (515kB)| Preview

    Abstract

    The Boltzmann equation with an arbitrary intermolecular potential is solved by the fast spectral method. As examples, noble gases described by the Lennard-Jones potential are considered. The accuracy of the method is assessed by comparing both transport coefficients with variational solutions and mass/heat flow rates in Poiseuille/thermal transpiration flows with results from the discrete velocity method. The fast spectral method is then applied to Fourier and Couette flows between two parallel plates, and the influence of the intermolecular potential on various flow properties is investigated. It is found that for gas flows with the same rarefaction parameter, differences in the heat flux in Fourier flow and the shear stress in Couette flow are small. However, differences in other quantities such as density, temperature, and velocity can be very large.

    Author(s):Wu, Lei ORCID logoORCID: https://orcid.org/0000-0002-6435-5041, Liu, Haihu, Zhang, Yonghao ORCID logoORCID: https://orcid.org/0000-0002-0683-7050 and Reese, Jason M. ORCID logoORCID: https://orcid.org/0000-0001-5188-1627
    Item type:Article
    ID code:54039
    Keywords:intermolecular interactions, fast spectral method, rarefied gas flows, discrete velocity method, Fourier analysis, Couette flow, Mechanical engineering and machinery, Plasma physics. Ionized gases, Mechanical Engineering, Computational Mechanics, Atomic and Molecular Physics, and Optics
    Subjects:Technology > Mechanical engineering and machinery
    Science > Physics > Plasma physics. Ionized gases
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
    Depositing user: Pure Administrator
    Date deposited:24 Aug 2015 09:41
    Last modified:04 Oct 2019 04:59
    URI:https://strathprints.strath.ac.uk/id/eprint/54039
    Export data:
    CORE (COnnecting REpositories)