Skip to main content
Log in

Heat Transfer in a “Tube-in-Channel” Combined System with an Upward Flow of Liquid Metal in a Transverse Magnetic Field

  • HEAT AND MASS TRANSFER AND PROPERTIES OF WORKING FLUIDS AND MATERIALS
  • Published:
Thermal Engineering Aims and scope Submit manuscript

Abstract

Investigations were performed of heat transfer to a forced upward flow of mercury in a tube inserted into a heated channel with a rectangular cross-section under the effect of a transverse magnetic field. The outer channel is filled with mercury and connected to a natural circulation loop. Liquid metal heat transfer is simulated in a cell of the cooling system of the channel-type liquid metal blanket for a Tokamak fusion reactor. Experimental data on temperature fields and heat-transfer performance in the inner tube and the outer channel were obtained in the mercury magnetohydrodynamic test rig using microthermocouple probes. Three different cases of natural circulation loop operation are examined: (I) the loop is off, convective flow can occur only in the space between the tube and the channel wall; (II) the loop is open and operates under adiabatic conditions; (III) the loop is open, water cooling is on. The results of measurement in the inner tube demonstrate that heat transfer in the tube-in-channel system is enhanced compared to the heat transfer in a separate tube both with and without a magnetic field. Under the experimental conditions, natural convection is induced by the buoyancy and electromagnetic forces in the gap between the tube and the channel wall. The configuration and structure of the flow in the gap change drastically in a transverse magnetic field, and the heat-transfer rate depends on the operating conditions in the natural circulation loop. Convection reduces temperature nonuniformities in the gap, and the heat transfer in the investigated “tube-in-channel” enhances greater when the natural circulation loop is activated and, especially, when it is additionally cooled. Low-frequency high-amplitude fluctuations induced by the instability of the natural convection and magnetohydrodynamic flows are observed in the gap.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.

Similar content being viewed by others

REFERENCES

  1. R. N. Lyon and H. Poppendiek, “Liquid-metal heat transfer,” in Liquid-Metals Handbook (U.S. Atomic Energy Commission, Washington, DC, 1951).

    Google Scholar 

  2. N. I. Buleev, V. A. Mosolova, and L. D. El’tsova, “On turbulent liquid flows in annular and flat ducts,” Teplofiz. Vys. Temp. 5, 630–639 (1967).

    Google Scholar 

  3. V. I. Subbotin, V. D. Talanov, and P. A. Ushakov, “Influence of eccentricity on liquid metal heat transfer in an annular duct,” in Liquid Metals: Collection of Papers, Ed. by P. L. Kirillov, V. I. Subbotin, and P. A. Ushakov (Atomizdat, Moscow, 1967). pp. 111–122 [in Russian].

    Google Scholar 

  4. W. Harrison and J. Menke, “Heat transfer to liquid metals flowing in asymmetrically heated channels,” Trans. ASME 71, 797–802 (1949). https://doi.org/10.1115/1.4017228

    Article  Google Scholar 

  5. V. I. Subbotin, P. A. Ushakov, and I. P. Sviridenko, “Investigation of heat exchange in connection with a turbulent flow of mercury in an annular duct,” At. Energy 9, 851–854 (1960).

    Article  Google Scholar 

  6. A. V. Beznosov, A. S. Chernysh, S. I. Sergeev, A. I. Zudin, and T. A. Bokova, “Experimental investigation of heat transfer from HLMC medium under atmospheric pressure,” Vopr. At. Nauki Tekh., Ser.: Yad.-Reakt. Konst., No. 4, 75–83 (2016).

  7. A. V. Beznosov, A. A. Molodtsov, A. V. Nazarov, S. Yu. Savinov, and O. O. Kudrin, “Investigation of heat transfer from a lead heat carrier to a tube streamlined longitudinally,” Thermophys. Aeromech. 14, 411–418 (2007).

    Article  Google Scholar 

  8. H. R. Mozayyeni and A. B. Rahimi, “Mixed convection in cylindrical annulus with rotating outer cylinder and constant magnetic field with an effect in the radial direction,” Sci. Iran. 19, 91–105 (2012). https://doi.org/10.1016/j.scient.2011.12.006

    Article  Google Scholar 

  9. H. Teimouri, M. Afrand, N. Sina, A. Rrimipour, and A. H. Meghdadi Isfahani, “Natural convection of liquid metal in a horizontal cylindrical annulus under radial magnetic field,” Int. J. Appl. Electromagn. Mech. 49, 453–461 (2015). https://doi.org/10.3233/JAE-150028

    Article  Google Scholar 

  10. M. Sankar, M. Venkatachalappa, and I. S. Shivakumara, “Effect of magnetic field on natural convection in a vertical cylindrical annulus,” Int. J. Eng. Sci. 44, 1556–1570 (2006). https://doi.org/10.1016/j.ijengsci.2006.06.004

    Article  MathSciNet  MATH  Google Scholar 

  11. W. Wrobel, E. Fornalik-Wajs, and J. S. Szmyd, “Experimental and numerical analysis of thermo-magnetic convection in a vertical annular enclosure,” Int. J. Heat Fluid Flow 31, 1019–1031 (2010). https://doi.org/10.1016/j.ijheatfluidflow.2010.05.012

    Article  Google Scholar 

  12. A. Kumar and A. K. Singh, “Effect of induced magnetic field on natural convection in vertical concentric annuli heated/cooled asymmetrically,” J. Appl. Fluid Mech. 6, 15–26 (2013).

    Google Scholar 

  13. M. Afrand, “3-D numerical investigation of natural convection in a tilted cylindrical annulus containing molten potassium and controlling it using various magnetic fields,” Int. J. Appl. Electromagn. Mech. 46, 809–821 (2014). https://doi.org/10.3233/JAE-141975

    Article  Google Scholar 

  14. L. Todd, “Hartmann flow in an annular channel,” J. Fluid Mech. 28, 371–384 (1967). https://doi.org/10.1017/S0022112067002137

    Article  MATH  Google Scholar 

  15. H. Kumamaru, “Magnetic pressure drop and heat transfer of liquid metal flow in annular channel under transverse magnetic field,” J. Nucl. Sci. Technol. 21, 393–400 (1984).

    Article  Google Scholar 

  16. L. Bühler, Poloidal MHD Flow in the European TAURO Blanket Concept (Forschungszentrum Karlsruhe, Karlsruhe, 1999).

    Google Scholar 

  17. L. Bühler and C. Mistrangelo, “MHD flow and heat transfer in model geometries for WCLL blankets,” Fusion Eng. Des. 124, 919–923 (2017). https://doi.org/10.1016/j.fusengdes.2017.01.014

    Article  Google Scholar 

  18. H. Chen, T. Zhou, H. Zhang, and Z. Meng, “Numerical investigation of liquid metal magnetohydrodynamic flow in multilayer flow channel inserts,” Fusion Eng. Des. 88, 2939–2944 (2013). https://doi.org/10.1016/j.fusengdes.2013.06.006

    Article  Google Scholar 

  19. L. G. Genin and V. G. Sviridov, Hydrodynamics and Heat Transfer of MHD-Flows in Channels (Mosk. Energ. Inst., Moscow, 2001) [in Russian].

    Google Scholar 

  20. N. A. Luchinkin, N. G. Razuvanov, I. A. Belyaev, and V. G. Sviridov, “Heat transfer in liquid metal at an upward flow in a pipe in transverse magnetic field,” High Temp. 58, 400–409 (2020). https://doi.org/10.1134/S0018151X20030128

    Article  Google Scholar 

  21. I. A. Belyaev, Yu. P. Ivochkin, Ya. I. Listratov, N. G. Razuvanov, and V. G. Sviridov, “Temperature fluctuations in a liquid metal MHD-flow in a horizontal inhomogeneously heated tube,” High Temp. 53, 734–741 (2015). https://doi.org/10.1134/S0018151X15050041

    Article  Google Scholar 

  22. I. I. Poddubnyi, N. Yu. Pyatnitskaya, N. G. Razuvanov, V. G. Sviridov, E. V. Sviridov, A. Yu. Leshukov, K. V. Aleskovskii, and D. M. Obukhov, “Research of heat transfer regimes in liquid metal flow in the conditions of a thermonuclear reactor,” Vopr. At. Nauki Tekh., Ser.: Termoyad. Sint. 38 (3), 5–15 (2015).

    Google Scholar 

  23. I. A. Belyaev, I. I. Poddubnyi, N. G. Razuvanov, and V. G. Sviridov, “Evaluation of temperature fluctuations influence on the structure of a tokamak-reactor liquid metal blanket module,” Vopr. At. Nauki Tekh., Ser.: Termoyad. Sint. 41 (1), 41–52 (2018). https://doi.org/10.21517/0202-3822-2018-41-1-41-52

    Article  Google Scholar 

  24. I. A. Belyaev, D. A. Biryukov, N. Y. Pyatnitskaya, N. G. Razuvanov, E. V. Sviridov, and V. G. Sviridov, “A technique for scanning probe measurement of temperature fields in a liquid flow,” Therm. Eng. 66, 377–387 (2019). https://doi.org/10.1134/S0040601519060016

    Article  Google Scholar 

Download references

Funding

The work was funded by the Russian Science Foundation (grant no. 22-29-00878).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. A. Luchinkin.

Additional information

Translated by T. Krasnoshchekova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Luchinkin, N.A., Razuvanov, N.G. & Polyanskaya, O.N. Heat Transfer in a “Tube-in-Channel” Combined System with an Upward Flow of Liquid Metal in a Transverse Magnetic Field. Therm. Eng. 70, 809–822 (2023). https://doi.org/10.1134/S0040601523100038

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040601523100038

Keywords:

Navigation