MODELING OF NATURAL CONVECTION AT MELTING IN THE THERMAL ENERGY STORAGE MODULE WITH PHASE CHANGE «SOLID BODY - LIQUID»
Abstract
Modeling results of heat exchange processes in a cylindrical element of the thermal storage module with phase change “solid body – liquid” are presented. The vertical cylindrical element has design “double pipe” which is filled the phase change material NaNO3. Chanel with heat transfer fluid is located inner the phase change material. As heat transfer fluid is used Sylthem800, which is the typical for parabolic trough collectors. Developed mathematical model is corresponded Stefan problem when latent heat is taken into account by effective heat capacity method. Influence of natural convection at melting of the phase change material is modeled using effective heat transfer coefficient which is calculated based on criteria equations. The numerical algorithm and in-house Python-code is created for finding of the temperature distributions in phase change material. These temperatures depend on time and heat transfer fluid flow regime. It is found that natural convection at laminar regime influence on the heat transfer in system significantly. Influence of the natural convection is decreased at transfer to turbulent regime. It is connected with intensification of forced convective heat and mass exchange in channel with heat transfer fluid. Velocity of moving for the phase boundary is determined at laminar and turbulent heat transfer flow regime. This velocity is calculated with account of natural convection at melting and without one. Obtained data will be useful for choose of geometric, dynamic and thermophysical parameters of prospect thermal storage modules with phase chance “solid body – liquid”.
References
2. Kudrya S., Riepkin O., Rubanenkо O., Yatsenko L., Shynkarenko L., “Stages of green hydrogen energy development of Ukraine”, (in Ukrainian). Vіdnovlyuvana energetyka. 2022. № 1 (68). P. 1–12.
https://doi.org/10.36296/1819-8058.2022.1(68)840
3. Matyakh S., Surzhyk T., Ryeztsov V., Ivanchuk V., “Directions and prospects for the development of solar thermal energy”, (in Ukrainian). Vіdnovlyuvana energetyka. 2021. № 3 (66). p. 33–44.
https://doi.org/10.36296/1819-8058.2021.3(66).33-44
4. Knysh L. “Comprehensive mathematical model and efficient numerical analysis of the design parameters of the parabolic trough receiver”. International Journal of Thermal Sciences. 2021. Vol. 162. 106777.
https://doi.org/10.1016/j.ijthermalsci.2020.106777
5. Lissner M., Tissot J., Leducq D., Azzouz K., Fournaison L. “Performance study of latent heat accumulators: Numerical and experimental study”. Applied Thermal Engineering. 2016. Vol. 102. p. 604–614.
I. V. Harkavskyi, L. I. Knysh. “Modeling of energy transfer in a phase-change thermal storage module of a solar thermodynamic power plant”, (in Ukrainian). Problemy obchislyuval'noi mekhanіky і mіcnostі konstrukcіj. 2020. No. 32. p. 5–14. https://doi.org/10.15421/4220011
6. Opolot M., Zhao C., Liu M., Mancin S., Bruno F., Hooman K. “A review of high temperature (≥ 500 °C) latent heat thermal energy storage”. Renewable and Sustainable Energy Reviews. 2022. Vol. 160. 112293
7. Knysh L.I. “The calculation of design parameters of heat storage module with change phase «solid phase – liquid”, (in Russian) Systemni tekhnolohii. Rehionalnyi mizhvuzivskyi zbirnyk naukovykh prats, 2014, №3(92), P. 50–56.
8. Agyenim F., Hewitt N., Eames P., Smyth M. “A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems”, Renewable and Sustainable Energy Reviews, 2010, Vol.14. P. 615–628.
9. Zhao D., Tan G. “Numerical analysis of a shell-and-tube latent heat storage unit with fins for air-conditioning application”. Applied Energy. 2015. Vol. 138. p. 381–392.
10. Su W., Darkwa J., Kokogiannakis G. “Development of microencapsulated phase change material for solar thermal energy storage”. Applied Thermal Engineering. 2017. Vol. 112. p. 1205–1212.
11. González-Roubaud E., Pérez-Osorio D., Prieto C. “Review of commercial thermal energy storage in concentrated solar power plants: Steam vs. molten salts”. Renewable and Sustainable Energy Reviews. 2017. Vol. 80. p. 133–148.
12. Arun Prakash S., Hariharan C., Arivazhagan R., Sheeja R., Antony Aroul Raj V, Velraj R. “Review on numerical algorithms for melting and solidification studies and their implementation in general purpose computational fluid dynamic software”. Journal of Energy Storage. 2021. Vol. 36. 102341.
13. Yurkov R. S., Knysh L. I. “Verification of a mathematical model for the solution of the stefan problem using the mushy layer method”. (in Ukrainian) Tekhnichna mekhanika. 2021. № 3. p. 119–125.
https://doi.org/10.15407/itm2021.03.119
14. Zukauskas A. “Heat transfer in turbulent fluid flows”. Springer. 1987. 282 p.
15. Michels H., Pitz-Paal R. “Cascaded latent heat storage for parabolic trough solar power plants”. Solar energy. 2007. Vol. 81. Issue 6. p. 829–837.
16. Patankar S.V. “Numerical heat transfer and fluid flow” Taylor&Francis. 1980. 214 p.
17. Naberezhnov A. A., Alekseeva O. A., Kudryavceva A. V., Chernyshov D. Yu., Vergentev T. Yu., Fokin A. V. “Structural transition and temperature dependences of thermal expansion coefficients of NaNO3 embedded in nanoporous glass”. (in Russian). Fizika tverdogo tela. 2022. Vol. 64. Issue 3. p. 365–370.
18. Lykov A. V. “The theory of heat conduction”, (in Russian). M.: Vysshaya shkola. 1967. 600 p.
