On One Class of Exact Solutions of the Navier–Stokes System of Equations for an Incompressible Fluid

被引：0

作者：

Galkin V.A. ^{[1
,2
]}

Dubovik A.O. ^{[1
,2
]}

机构：

[1] Surgut Branch, Federal Research Center Scientific Research Institute for System Analysis, Russian Academy of Sciences, Khanty-Mansi Autonomous Okrug, Surgut

[2] Surgut State University, Surgut

来源：

Mathematical Models and Computer Simulations | 2023年 / 15卷 / Suppl 1期

关键词：

cylindrical flow region; exact solutions; Navier–Stokes equations;

D O I：

10.1134/S2070048223070037

中图分类号：

学科分类号：

摘要：

Abstract: A class of exact solutions of the system of Navier–Stokes equations corresponding to the vortex flow of an incompressible fluid in a cylinder and a coaxial cylinder is obtained. The behavior of the solution in the vicinity of singular points lying on the axis of the cylinder is studied. The temperature field is calculated based on the control volume method corresponding to the found class of exact solutions. © 2023, Pleiades Publishing, Ltd.

引用

页码：S78 / S85

页数：7

共 14 条

[1]

Ahmed H.F., Malik F.K., Khan M.M., Influence of passive wake control on thermal-hydraulic performance of a cylinder confined in wavy channel under high blockage ratios, Thermophys. Aeromech., 29, pp. 357-371, (2022)

[2]

Delnov V.N., Application of flow patterns and accounting of hydrodynamic effects in the course of upgrading distribution header systems of npp heat exchangers and reactors,” Vopr. At. Nauki Tekh., Ser, Yaderno-Reaktornye Konstanty, No., 2, pp. 200-217, (2021)

[3]

Renev M.E., Safronova Y.F., Stishkov Y.K., Controlling the flow around a circular cylinder by means of a corona discharge, Tech. Phys., 64, pp. 1275-1282, (2019)

[4]

Khoroshev A.S., Shakhov V.G., The intensity of convection of fluids with different prandtl number in a vertical cylinder of large aspect ratio, Mat. Fiz. Komp’yuternoe Model., 21, pp. 70-79, (2018)

[5]

Trkal V., A note on the hydrodynamics of viscous fluids, Czechoslovak J. Phys., 44, pp. 97-106, (1994)

[6]

Sheretov Y.V., On the solutions of Cauchy problem for quasi-hydrodynamic system, Vestn. Tver. Gos. Univ., Ser.: Prikl. Mat., No., 1, pp. 84-96, (2020)

[7]

Arnol V., Sur la topologie des écoulements stationnaires des fluides parfaits, C. R. Acad. Sci. Paris, 261, pp. 17-20, (1965)

[8]

Bogoyavlenskii O.I., On the Kelvin problem of 1800 and exact solutions of the Navier–Stokes equations

[9]

Betelin V.B., Galkin V.A., Dubovik A.O., Exact solutions of incompressible Navier–Stokes equations in the case of oil and gas industrial problems, Dokl. Math., 102, pp. 456-459, (2020)

[10]

Galkin V.A., Dubovik A.O., Visualization of flows of a viscous conductive liquid with the presence of impurities in the flow field corresponding to exact solutions of the MHD equations, Sci. Visualization, 13, pp. 104-123, (2021)

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