Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model

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...

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Main Authors: Chourushi, Tushar, Rahimi, A., Singh, Satyvir, Ejtehadi, O., Mankodi, T. K., Myong, Rho Shin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/156102
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1561022022-04-22T01:34:19Z Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model Chourushi, Tushar Rahimi, A. Singh, Satyvir Ejtehadi, O. Mankodi, T. K. Myong, Rho Shin School of Physical and Mathematical Sciences Engineering::Mechanical engineering::Fluid mechanics Rarefied and Microscale Gases Heat Transfer 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. Nanyang Technological University This work was supported by the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF 2017-R1A5A1015311 and 2017-R1A2B2007634), South Korea. 2022-04-22T01:34:19Z 2022-04-22T01:34:19Z 2022 Journal Article Chourushi, T., Rahimi, A., Singh, S., Ejtehadi, O., Mankodi, T. K. & Myong, R. S. (2022). Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model. International Journal of Heat and Mass Transfer, 187, 122580-. https://dx.doi.org/10.1016/j.ijheatmasstransfer.2022.122580 0017-9310 https://hdl.handle.net/10356/156102 10.1016/j.ijheatmasstransfer.2022.122580 2-s2.0-85123427161 187 122580 en NAP-SUG-M408074 International Journal of Heat and Mass Transfer © 2022 Elsevier Ltd. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Mechanical engineering::Fluid mechanics
Rarefied and Microscale Gases
Heat Transfer
spellingShingle Engineering::Mechanical engineering::Fluid mechanics
Rarefied and Microscale Gases
Heat Transfer
Chourushi, Tushar
Rahimi, A.
Singh, Satyvir
Ejtehadi, O.
Mankodi, T. K.
Myong, Rho Shin
Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Chourushi, Tushar
Rahimi, A.
Singh, Satyvir
Ejtehadi, O.
Mankodi, T. K.
Myong, Rho Shin
format Article
author Chourushi, Tushar
Rahimi, A.
Singh, Satyvir
Ejtehadi, O.
Mankodi, T. K.
Myong, Rho Shin
author_sort Chourushi, Tushar
title Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model
title_short Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model
title_full Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model
title_fullStr Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model
title_full_unstemmed Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navier–Fourier constitutive model
title_sort thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical couette flow based on second-order non-navier–fourier constitutive model
publishDate 2022
url https://hdl.handle.net/10356/156102
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