Numerical and experimental simulation of convective heat transfer in a liquid metal flow in an annullar pipe

Authors

DOI:

https://doi.org/10.7242/1999-6691/2025.18.1.4

Keywords:

toroidal coordinate system, differential conservation equations, hydrodynamics, heat transfer, liquid metals, heat transfer coefficient, flow in a curved pipe

Abstract

Numerical simulation was performed to study the hydrodynamics and heat transfer characteristics of a curved pipe. The section of a uniformly heated pipe with a ratio of the bend radius to the pipe’s inner diameter being equal to 25 is considered. The differential conservation equations of a moving continuous medium are formulated in a curvilinear coordinate system. The system of equations for a cylindrical coordinate system, which includes additional terms that arise in the ring coordinate system, is taken as a basis. The problem’s geometry remains unchanged; it is still a straight pipe in cylindrical coordinates. In the simulation, a structured computational grid is used, and the influence of thermogravitational convection is considered. Experimental studies were carried out to investigate heat transfer in a liquid metal flow in a curved pipe with an inner diameter of 19 mm and a bend radius of 0.5 m. The experiments were conducted on a mercury loop at JIHT RAS in the range of the Reynolds number between 11,000 and 80,000 and at different heat loads. A probe with a correlation sensor that consists of two micro-thermopairs was used. The developed mechanism permits continuous movement of the probe in the pipe’s section, which is at a distance of 76 calibers to the heating zone. In the section placed in the stabilized region of the non-isothermal turbulent flow, the averaged velocity and temperature fields were measured in detail. The parameters, presented in dimensionless form, are compared with similar numerical simulation results. It was found that inertial and gravitational forces have a strong influence on the velocity and temperature profiles of the flow, which results in significant heterogeneity in the distribution of the wall temperature around the perimeter of the considered section of the pipe. The comparison shows good agreement between experimental and calculated data.

Downloads

Download data is not yet available.
Supporting Agencies
The work was carried out with the financial support of the Ministry of Science and Higher Education of the Russian Federation in the field of scientific activity for 2023–2025, performed by Luchinkin N.A., Razuvanov N.G. (State Assignment No. 075-00269-25-00) and Polyanskaya O.N. (State Assignment No. FSWF-2023-0017, Agreement No. 075-03-2023-383 dated January 18, 2023).

References

Mitrofanova O.V. Gidrodinamika i teploobmen zakruchennykh potokov v kanalakh yaderno-energeticheskikh ustanovok. Moscow: Fizmatlit, 2010. 288 p.

Loytsyanskiy L.G. Mekhanika zhidkosti i gaza. Moscow: Drofa, 2003. 840 p.

Sedov L.I. Mekhanika sploshnoy sredy. Vol. 1. Saint Petersburg: Lan’, 2004. 528 p.

Razuvanov N.G. Solution of the convective heat transfer problem in a screw coordinate system. Computational Continuum Mechanics. 2018. Vol. 11, no. 2. P. 175–184. DOI: 10.7242/1999-6691/2018.11.2.14

Razuvanov N.G., Belavina E.A., Polyanskaya O.N., Belayev I.A. Solution to the Problem of Convective Heat Transfer in a Toroidal Channel Using a Curvilinear Coordinate System. Thermal Engineering. 2022. Vol. 69. P. 585–595. DOI: 10.1134/S0040601522080079

Naphon P., Wongwises S. A review of flow and heat transfer characteristics in curved tubes. Renewable and Sustainable Energy Reviews. 2006b. Vol. 10. P. 463–490. DOI: 10.1016/j.rser.2004.09.014

Berger S.A., Talbot L., Yao L.S. Flow in Curved Pipes. Annual Review of Fluid Mechanics. 1983b. Vol. 15. P. 461–512. DOI: 10.1146/annurev.fl.15.010183.002333

Chupin A., Stepanov R. Full perturbation solution for the flow in a rotating torus. Physical Review E. 2008b. Vol. 77, no. 5. 057301. DOI: 10.1103/PhysRevE.77.057301

Frick P., Noskov V., Denisov S., Khripchenko S., Sokoloff D., Stepanov R., Sukhanovsky A. Non-stationary screw flow in a toroidal channel: Way to a laboratory dynamo experiment. Magnetohydrodynamics. 2002b. Vol. 38, no. 1/2. P. 143–162.

Borisenko A.I., Tarapov I.E. Vektornyy analiz i nachala tenzornogo ischisleniya. Moscow: Vysshaya shkola, 1966. 252 p.

Danielson D.A. Vectors and Tensors in Engineering and Physics. CRC Press, 2003b. 292 p. . DOI: 10.1201/9780429502774

Luchinkin N.A., Razuvanov N.G., Belyaev I.A., Sviridov V.G. Heat Transfer in Liquid Metal at an Upward Flow in a Pipe in Transverse Magnetic Field. High Temperature. 2020. Vol. 58. P. 400–409. DOI: 10.1134/S0018151X20030128

Genin L.G., Listratov I.A., Sviridov V.G., Zhilin V.G., Ivochkin Y.P., Razuvanov N.G. MHD heat transfer investigation for a liquid metal flow. Problems of Atomic Science and Technology, Series: Thermonuclear Fusion. 2003. No. 4. P. 35–44.

Abramov A.V., Zyablitskikh A.N., Kolesnikov P.A., Lapaksin A.A., Naumenko M.Y., Nikitin O.A., Silayev V.A., Tausenev V.V., Yudov A.G. Eksperimental’noye obosnovaniye bezopasnosti reaktornoy ustanovki BREST-OD-300 pri razgermetizatsii teploobmennykh trub. 3d International Scientific and Technical Conference on Innovative projects and technologies of nuclear energy. Vol. 1. Moscow. P. 12.

Semchenkov A.A., Chekov M.E., Vasil’yev S.V., Kuz’minov Y.S. Parogenerator RU BREST-OD-300: raschetno-eksperimental’noye obosnovaniye. IV International Scientific and Technical Conference "Innovative Projects and Technologies of Nuclear Energy". Vol. 2. Moscow, 2016. P. 559–566.

Belyaev I.A., Biryukov D.A., Pyatnitskaya N.Y., Razuvanov N.G., Sviridov E.V., Sviridov V.G. A Technique for Scanning Probe Measurement of Temperature Fields in a Liquid Flow. Thermal Engineering. 2019. Vol. 66. P. 377–387. DOI: 10.1134/S0040601519060016

Belov I.A., Isayev S.A. Modelirovaniye turbulentnykh techeniy. Saint Petersburg: Baltic State Technical University, 2001. 108 p.

Artemov V.I., Yan’kov G.G., Karpov V.E., Makarov M.V. Numerical simulation of processes of heat-and-mass transfer in items of heat and power equipment. Thermal Engineering. 2000. Vol. 47, no. 7. P. 632–640.

Genin L.G., Sviridov V.G. Gidrodinamika i teploobmen MGD-techeniy v kanalakh. Moscow: Moscow Power Engineering Institute, 2001. 196 p.

Genin L.G., Sviridov V.G., Ivanova O.N., Zhilin V.G., Ivochkin Y.P., Razuvanov N.G. An investigation of MHD heat transfer under a flow of liquid metal in a transverse magnetic field as applied to a thermonuclear reactor. Thermal Engineering. 2003. Vol. 50, no. 3. P. 213–218.

Genin L.G., Listratov Y.I., Razuvanov N.G., Ryzhkova S.A., Sviridov V.G. Influence of Secondary Vortices of Thermogravitational Convection on the Liquid Metal Heat Exchange in a Horizontal Tube in a Magnetic Field. Heat Transfer Research. 2006b. Vol. 37, no. 8. P. 691–706. DOI: 10.1615/HeatTransRes.v37.i8.50

Published

2025-04-17

Issue

Section

Articles

How to Cite

Razuvanov, N. G., Polyanskaya, O. N., & Luchinkin, N. A. (2025). Numerical and experimental simulation of convective heat transfer in a liquid metal flow in an annullar pipe. Computational Continuum Mechanics, 18(1), 45-56. https://doi.org/10.7242/1999-6691/2025.18.1.4