Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model. (15th May 2022)

• Record Type: Journal Article
• Authors: Chourushi, T.; Rahimi, A.; Singh, S.; Ejtehadi, O.; Mankodi, Tapan K.; Myong, R.S.
• Is Part Of: International journal of heat and mass transfer. Volume 187(2022)
• Publication Date: 2022-05-15
• Subjects: Rarefied and microscale gases -- Heat transfer -- Diatomic and polyatomic gases -- Non-Navier-Fourier laws -- Slip and jump conditions; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2022.122580
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Thermal and flow characteristics of nonequilibrium gases in cylindrical couette flow are investigated using second-order constitutive model. The second-order non-Navier–Fourier constitutive relations of diatomic and polyatomic gases are derived for the cylindrical coordinates. Normal stress, excess normal stress, and tangential heat flux remain finite in the second-order constitutive model. Two new abnormal mechanisms are found in diatomic and polyatomic gases in rarefied and microscale flow regimes. Abstract: The thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow are investigated using first- and second-order Boltzmann–Curtiss-based constitutive models. The mixed modal discontinuous Galerkin scheme is used for solving the conservation laws in conjunction with the Maxwell velocity-slip and Smoluchowski temperature-jump boundary conditions. Also derived are new analytic solutions for compressible cylindrical Couette gas flow including the temperature profile, and they are used to verify the numerical scheme. Further, the second-order non-Navier–Fourier constitutive relations are derived for the cylindrical coordinates. Various abnormal behaviour is found in the second-order constitutive model, such as non-zero normal stress and excess normal stress, non-zero tangential heat flux, and flattened pressure and density profiles. The physical mechanisms behind this abnormal behaviour are found to be similar to the Knudsen layer in planar Couette gas flow, and the curvature of the cylindrical geometry does not affect the fundamental second-order physics. Moreover, two new abnormal mechanisms are found in diatomic and polyatomic gases: (i) the subtle interplay of excess normal stress (and bulk viscosity) with the nonlinear coupled constitutive relation, and (ii) the combined role of the bulk viscosity ratio and the specific heat ratio.