Reynolds Analogy Coefficient in the Longitudinal Cylindrical Couette Problem: from the Continuous Medium to Free Molecular Flow

A. A. Abramov; Абрамов А. А.; V. Yu. Aleksandrov; Александров В. Ю.; A. V. Butkovskii; Бутковский А. В.

doi:10.31857/S0044466923020023

Reynolds Analogy Coefficient in the Longitudinal Cylindrical Couette Problem: from the Continuous Medium to Free Molecular Flow

作者: Abramov A.A.¹, Aleksandrov V.Y.¹, Butkovskii A.V.¹
隶属关系:
1. Central Aerohydrodynamic Institute
期: 卷 63, 编号 2 (2023)
页面: 317-326
栏目: Mathematical physics
URL: https://edgccjournal.org/0044-4669/article/view/664895
DOI: https://doi.org/10.31857/S0044466923020023
EDN: https://elibrary.ru/BRDVJQ
ID: 664895

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详细

The gas Couette flow for a cylindrical geometry of bounding surfaces that move in the longitudinal direction relative to their symmetry axis is considered. For a monoatomic gas, the relation between the shear stress and the energy flux transferred to the longitudinal-flow surface (Reynolds analogy) is studied. In the case of continuous medium and free molecular flow regimes, simple explicit analytical expressions for the Reynolds analogy coefficient are obtained, which depend only on the Eckert number and are independent of the ratio of the cylinder radii. The transitional regime for various values of the Knudsen number is studied using the direct simulation Monte Carlo (DSMC) method. It is shown that, in this case, the Reynolds analogy coefficient at a fixed ratio of the radii and the Knudsen number depends on the relative velocity and temperatures of the surfaces mainly through the Eckert number. A relationship between the linear energy fluxes transferred to the cylindrical surfaces is found.

关键词

Reynolds analogy, longitudinal cylindrical Couette flow, Eckert number, Knudsen number, direct simulation Monte Carlo method

参考

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