Mathematical Simulation of Temperature Fields in Characteristic Sections of the Working Zone of the Closed Two-Phase Thermosyphon

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy


2018, Vol. 4. №1

Mathematical Simulation of Temperature Fields in Characteristic Sections of the Working Zone of the Closed Two-Phase Thermosyphon

For citation: Kuznetsov G. V., Nurpeiis A. E. 2018. “Mathematical Simulation of Temperature Fields in Characteristic Sections of the Working Zone of the Closed Two-Phase Thermosyphon”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 4, no 1, pp. 8-22. DOI: 10.21684/2411-7978-2018-4-1-8-22

About the authors:

Geniy V. Kuznetsov, Dr. Sci. (Phys.-Math.), Professor, Scientific-Educational Center of I. N. Butakov, Tomsk Polytechnic University;

Atlant E. Nurpeiis, Assistant, Butakov Research Center, Tomsk Polytechnic University;


The authors present the results of numerical studies of the joint thermal conductivity and coolant phase transformations in a cylindrical thermosyphon. The heat transfer problem for two bilayer plates is solved. The evaporation of liquid on the bottom cover and the condensation on the top cover of the thermosyphon is taken into account. The authors have conducted a numerical study of heat transfer in the closed two-phase thermosyphon with energy removal from a heat-emitting surface in fairly typical ranges of variation of heat flows to the bottom cover, corresponding to the operating modes of power equipment (2-8 kW/m2). Distilled water was considered as coolant. The filling ratios and geometric parameters of the thermosyphon are chosen the same as in the experiments conducted (height 161 mm, diameter 42 mm, wall thickness 1.5 mm, filling ratio ε = 4%).

The main results of mathematical simulation are presented in the form of temperature fields for various heat flows to the bottom cover of the thermosyphon and the heat transfer coefficient from the surface of the top cover of the heat exchanger under consideration. The results of mathematical simulation, obtained numerically, describe adequately the heat transfer in the thermosyphon and belong to the confident limits of the experimental data on the temperatures at the characteristic points of the heat exchanger.


  1. Bezrodnyy M. K., Pioro I. L., Kostyuk T. O. 2005. Protsessy perenosa v dvukhfaznykh termosifonnykh sistemakh [Transfer Processes in the Biphasic Thermal Siphon Systems]. Kiev: Fact.
  2. Kravets V. Yu., Chernobay V. A., Nikitenko A. A., Golamreza B. 2011. “Temperatury nachala kipeniya v zakrytom dvukhfaznom termosifone” [The Initial Boiling Point in a Closed Two-Phase Thermosyphon]. Vostochno-Evropeyskiy zhurnal peredovykh tekhnologiy, vol. 2/8, no 50, pp. 40-44.
  3. Samarskiy, A. A., Vabishchevich P. N. 1999. Chislennye metody resheniya zadach konvektsii — diffuzii [Numerical Methods for Solving Convection — Diffusion]. Moscow: URSS.
  4. Tyurin M. P., Borodina E. S. 2016. “Eksperimental'noe issledovanie protsessov teplomassoobmena v zakrytom dvukhfaznom termosifone” [Experimental Research of Processes of Heat and Mass Transfer in a Closed Two-Phase Thermosyphon]. MNTK Planovskiy, vol. 1, pp. 239-241.
  5. Hichem F., Jean Loui J. 2003. “An Experimental and Theoretical Investigation of the Transient Behavior of a Two-Phase Closed Thermosyphon”. Applied Thermal Engineering, vol. 23, pp. 1895-1912.
  6. Huminic G., Huminic A. 2013. “Numerical Study on Heat Transfer Characteristics of Thermosyphon Heat Pipes Using Nanofluids”. Energy Conversion and Management, vol. 76. pp. 393-399.
  7. Hussein H. M. S. 2002. “Transient Investigation of a Two Phase Closed Thermosyphon Flat Plate Solar Water Heater”. Energy Conversion and Management, no 43, pp. 2479-2492.
  8. Jafari D., Franco A., Filippeschi S., Di Marco P. 2016. “Two-Phase Closed Thermosyphons: A Review of Studies and Solar Applications”. Renewable and Sustainable Energy Reviews, vol. 53, pp. 575-593.
  9. Jiao B., Qiu L.M., Zhang X. B., Zhang Y. 2008. “Investigation on the Effect of Filling Ratio on the Steady-State Heat Transfer Performance of a Vertical Two-Phase Closed Thermosiphon”. Applied Thermal Engineering, vol. 28, pp. 1417-1426.
  10. Kuznetsov G. V., Al-Ani M. A., Sheremet M. A. 2011. “Numerical Analyses of Convective Heat Transfer in a Closed Two-Phase Thermosiphon”. Journal of Engineering Thermophysics, vol. 20 (2), pp. 201-210.
  11. Kuznetsov G. V., Strizhak P. A. 2014. “Evaporation of Single Droplets and Dispersed Liquid Flow in Motion through High-Temperature Combustion Products”. High Temperature, vol. 52, pp. 568-575.
  12. Kuznetsov G. V., Strizhak P. A. 2014. “Numerical Investigation of the Influence of Convection in a Mixture of Combustion Products on the Integral Characteristics of the Evaporation of a Finely Atomized Water Drop”. Journal of Engineering Physics and Thermophysics, vol. 87, pp. 103-111.
  13. Luo L., Wen F., Wang L., Sundén B., Wang S. 2016. “Thermal Enhancement by Using Grooves and Ribs Combined with Delta-Winglet Vortex Generator in a Solar Receiver Heat Exchanger”. Applied Energy, vol. 183, pp. 1317-1332. 
  14. Noie S. H., Sarmasti Emami M. R., Khoshnoodi M. 2007. “Effect of Inclination Angle and Filling Ratio on Thermal Performance of a Two-Phase Closed Thermosyphon under Normal Operating Conditions”. Heat Transf Eng, vol. 28, pp. 365-371.
  15. Nurpeiis А. Е., Orlova E. G., Ponomarev K. O. 2017. “An Experimental Study of the Influence of a Thermosyphon Filling Ratio on a Temperature Distribution in Characteristic Points along the Vapor Channel Height”. MATEC Web of Conferences. — Les Ulis: EDP Sciences, vol. 110: Heat and Mass Transfer in the Thermal Control System of Technical and Technological Energy Equipment.
  16. Nurpeiis А., Orlova E., Mamontov G. 2017. “Experimental Study of Temperatures in Characteristic Sections of the Working Zone of a Closed Two-Phase Thermosyphon under the Condition of a Heat Removal by External Periphery”. MATEC Web of Conferences 141,01006.
  17. Nurpeiis А., Ponomarev K., Nemova T. 2017. “Peculiarities of Temperature Fields Formation in Vapor Channels of Thermosyphons with Heat Carriers Boiling at Low Temperatures”. MATEC Web of Conferences 141,01005.
  18. Pioro I. L. 1999. “Experimental Evaluation of Constants for the Rohsenow Pool Boiling Correlation”. International Journal of Heat and Mass Transfer, vol. 42, pp. 2003-2013.
  19. Renjith Singh R., V. Selladurai, Ponkarthik P. K., Brusly Solomon A. 2015. “Effect of Anodization on the Heat Transfer Performance of Flat Thermosiphon”. Experimental Thermal and Fluid Science, vol. 68, pp. 574-581.
  20. Strakhov V. L., Garaschenko A. N., Kuznetsov G. V., Rudzinskii V. P. 2001. “Mathematical Simulation of Thermophysical and Thermos Chemical Processes during Combustion of Intumescent Fire-Protective Coating”. Combustion, Explosion and Shock Waves, vol. 37, pp. 1178-186.
  21. Zhang P., Wang B., Shi W., Li X. 2015. “Experimental Investigation on Two-Phase Thermosyphon Loop with Partially Liquid-Filled Downcomer”. Applied Energy, vol. 160, pp. 10-17.