Continuum and kinetic simulations of heat transfer through rarefied gas in annular and planar geometries in the slip regime

Hadj-Nacer, Mustafa and Maharjan, Dilesh and Ho, Minh-Tuan and Stefanov, Stefan K. and Graur, Irina and Greiner, Miles (2017) Continuum and kinetic simulations of heat transfer through rarefied gas in annular and planar geometries in the slip regime. Journal of Heat Transfer, 139 (4). 042002. ISSN 0022-1481

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    Abstract

    Steady-state heat transfer through a rarefied gas confined between parallel plates or coaxial cylinders, whose surfaces are maintained at different temperatures, is investigated using the nonlinear Shakhov (S) model kinetic equation and Direct Simulation Monte Carlo (DSMC) technique in the slip regime. The profiles of heat flux and temperature are reported for different values of gas rarefaction parameter d, ratios of hotter to cooler surface temperatures T , and inner to outer radii ratio R. The results of S-modelkinetic equation and DSMC technique are compared to the numerical and analytical solutions of the Fourier equation subjected to the Lin and Willis temperature-jump boundary condition. The analytical expressions are derived for temperature and heat flux for both geometries with hotter and colder surfaces having different values of the thermal accommodation coefficient. The results of the comparison between the kinetic and continuum approaches showed that the Lin and Willis temperature-jump model accurately predicts heat flux and temperature profiles for small temperature ratio T = 1.1 and large radius ratios R > 0.5; however, for large temperature ratio, a pronounced disagreement is observed.

    ORCID iDs

    Hadj-Nacer, Mustafa, Maharjan, Dilesh, Ho, Minh-Tuan ORCID logoORCID: https://orcid.org/0000-0002-9411-6447, Stefanov, Stefan K., Graur, Irina and Greiner, Miles;
    • Item type:Article
      ID code:60004
      Dates:
      Date
      Event
      30 April 2017
      Published
      10 January 2017
      Published Online
      20 October 2016
      Accepted
      Notes:© ASME
      Keywords:heat transfer, rarefied gas, parallel plates, coaxial cylinders, nonlinear Shakhov model, direct simulation Monte Carlo, temperature-jump boundary condition, heat flux, Mechanical engineering and machinery, Mechanical Engineering, Physical and Theoretical Chemistry, Fluid Flow and Transfer Processes
      Subjects:Technology > Mechanical engineering and machinery
      Department:Faculty of Engineering > Mechanical and Aerospace Engineering
      Depositing user: Pure Administrator
      Date deposited:01 Mar 2017 10:43
      Last modified:18 Jun 2021 00:39
      URI:https://strathprints.strath.ac.uk/id/eprint/60004
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