Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cja.2020.06.023
Title: Analytical method of nonlinear coupled constitutive relations for rarefied non-equilibrium flows
Authors: HE, Z.
JIANG, Z.
ZHANG, H. 
CHEN, W.
Keywords: Knudsen number
Microscale flow
Non-equilibrium
Nonlinear constitutive relations
Rarefied gas
Issue Date: 2020
Publisher: Chinese Journal of Aeronautics
Citation: HE, Z., JIANG, Z., ZHANG, H., CHEN, W. (2020). Analytical method of nonlinear coupled constitutive relations for rarefied non-equilibrium flows. Chinese Journal of Aeronautics. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cja.2020.06.023
Rights: Attribution-NonCommercial-NoDerivatives 4.0 International
Abstract: It is well known that Navier-Stokes equations are not valid for those high-Knudsen and high-Mach flows, in which the local thermodynamically non-equilibrium effects are dominant. To extend the non-equilibrium describing the ability of macroscopic equations, Nonlinear Coupled Constitutive Relation (NCCR) model was developed from Eu's generalized hydrodynamic equations to substitute linear Newton's law of viscosity and Fourier's law of heat conduction in conservation laws. In the NCCR model, how to solve the decomposed constitutive equations with reasonable computational cost is a key ingredient of this scheme. In this paper, an analytic method is proposed firstly. Compared to the iterative procedure in the conventional NCCR model, the analytic method not only obtains exact roots of the decomposed constitutive polynomials, but also preserves the nonlinear constitutive relations in the original framework of NCCR methods. Numerical tests to assess the efficiency and accuracy of the proposed method are conducted for argon shock structures, Couette flows, two-dimensional hypersonic flows over a cylinder and three-dimensional supersonic flows over a three-dimensional sphere. These superior advantages of the current method are expected to render itself a powerful tool for simulating the hypersonic rarefied flows and microscale flows of high Knudsen number for engineering applications. © 2020 Chinese Society of Aeronautics and Astronautics
Source Title: Chinese Journal of Aeronautics
URI: https://scholarbank.nus.edu.sg/handle/10635/196961
ISSN: 10009361
DOI: 10.1016/j.cja.2020.06.023
Rights: Attribution-NonCommercial-NoDerivatives 4.0 International
Appears in Collections:Staff Publications
Elements

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
10_1016_j_cja_2020_06_023.pdf3.72 MBAdobe PDF

OPEN

NoneView/Download

Google ScholarTM

Check

Altmetric


This item is licensed under a Creative Commons License Creative Commons