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Thermal and flow characteristics of nonequilibrium monatomic, diatomic, and polyatomic gases in cylindrical Couette flow based on second-order non-Navierâ-Fourier constitutive model
School of Mechanical and Aerospace Engineering and ACTRC, Gyeongsang National University, Jinju, Gyeongnam (KOR).
University West, Department of Engineering Science, Division of Welding Technology. (PTW)
School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link (SGP).
Supercomputing Modeling and Simulation Center, Korea Institute of Science and Technology Information (KISTI), Daejeon (KOR).
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2022 (English)In: International Journal of Heat and Mass Transfer, ISSN 0017-9310, E-ISSN 1879-2189, Vol. 187Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier Ltd , 2022. Vol. 187
Keywords [en]
Constitutive models; Cylinders (shapes); Flow of gases; Fourier transforms; Galerkin methods; Heat flux; Heat transfer; Specific heat; Viscosity, Diatomic gas; Fourier law; Jump conditions; Non-navi-fourier law; Normal stress; Polyatomic gas; Rarefied and microscale gas; Second orders; Slip condition; Thermal characteristics, Gases
National Category
Energy Engineering Fluid Mechanics and Acoustics
Research subject
Production Technology
Identifiers
URN: urn:nbn:se:hv:diva-18166DOI: 10.1016/j.ijheatmasstransfer.2022.122580ISI: 000755659600003Scopus ID: 2-s2.0-85123427161OAI: oai:DiVA.org:hv-18166DiVA, id: diva2:1643940
Note

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.

Available from: 2022-03-11 Created: 2022-03-11 Last updated: 2022-04-12Bibliographically approved

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Rahimi, Amin

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