A new form of the second-order temperature jump boundary condition for the low-speed nanoscale and hypersonic rarefied gas flow simulations


          

刊名：International Journal of Thermal Sciences
作者：Le, Nam T. P.（Ton Duc Thang Univ, Inst Computat Sci INCOS, Div Computat Math & Engn CME, Ho Chi Minh City, Vietnam）
Roohi, Ehsan（Ferdowsi Univ Mashhad, Fac Engn, Dept Mech Engn, High Performance Comp HPC Lab, Mashhad, Iran）
刊号：725F0002
ISSN：1290-0729
出版年：2015
年卷期：2015, vol.98
页码：51-59
总页数：9
分类号：TK1
关键词：Nanoscale；Hypersonic rarefied gas flow；Second-order jump/slip boundary conditions
参考中译：
语种：eng
文摘：The accuracy of numerical simulations of rarefied gas flows, in particular the Navier-Stokes-Fourier (N-S-F) equations, depends on the employed surface boundary conditions. In the literature, the combination of the second-order slip/jump conditions has primarily been used for either the Burnett or the BGK Burnett equations for hypersonic gas flows. In this work, we suggest the second-order temperature jump condition in a new form. The second-order slip/jump conditions are implemented in the framework of OpenFOAM to employ with the N-S-F equations for low-speed nanoscale and hypersonic rarefied gas flows. We investigate both the first and second-order slip/jump boundary conditions for low speed rarefied gas flow in the pressure-driven backward facing step nanochannel as well as hypersonic gas flows over the flat plate and past a circular cylinder in cross-flow. Simulation results show that the combination of the second-order slip/jump (in new form) conditions predicts better surface properties than those of the first-order slip/jump conditions for all cases studied by comparing the Burnett and DSMC data. Especially, the N-S-F simulation results of the second-order slip/jump (in new form) conditions of the cylinder case can capture the Burnett data at Kn = 0.1, while those of the first-order conditions do not. (C) 2015 Elsevier Masson SAS. All rights reserved.



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