Authors

Swirling vapour flow in short linear heat pipes. Part II

DOI: 10.17586/1606-4313-2024-23-2-72-79
UDC 536.24.08: 533.6.011.6: 533.697.4

Swirling vapour flow in short linear heat pipes. Part II

Seryakov A. V., Alexander V. Konkin, Alekseev Andrey P.

For citation: Seryakov A.V., Konkin A.V., Alekseev A.P. Swirling vapour flow in short linear heat pipes. Part II. Journal of International Academy of Refrigeration. 2024. No 2. p. 72-79. DOI: 10.17586/1606-4313-2024-23-2-72-79

Abstract
The article presents the results of the experimental studies of heat transfer coefficients KHP for short linear heat pipes (HP) with a Laval nozzle-liked vapour channel and with a partially swirled vapour flow inside the channel. A partial azimuthal swirling of the jet vapour stream is created using inclined injection channels of 1 mm diameter in a flat multilayer mesh evaporator, with an inclination angle φ relative to the longitudinal axis in the azimuthal direction in the range of 0° < φ < 60°. An analysis of the recommended vapour channel shape, carried out by the estimating of the Richardson number Ri for the vapour flow jets above the evaporator allowed us to estimate the value of the dimensionless longitudinal radius of curvature δ/Rconf for the confuser part of the vapour channel, which is determined from the condition of minimal friction losses during the flow of moist vapour in the boundary layer δ along the concave wall of the confuser part in the vapour channel with a longitudinal radius of curvature Rconf. The concave diffuser part shape of the vapour channel is determined by the condition that the moving vapour jets’ velocity vectors must be parallel to the longitudinal axis of the diffuser part of the HP’s vapour channel.The results of the numerical simulation for the hydraulic resistance coefficients ξvp of the HP’s vapour channel closed with flat lids at partially swirling jet vapour flow, obtained by using the ANSYS FLUENT software, show a decrease in ξvp coefficients at high values of the evaporator temperature load in the range of vapour flow velocities of 1 m/s < uz ≤ 100 m /s and in the range of swirling angles of 0°<φ<30°. With the increasing the swirling angles φ>30°, a sharp increase in the hydraulic resistance coefficient ξvp occurs. The heat transfer coefficients KHP for a set of the identical HP’s with a different inclination angles φ of the injection channels in the evaporators, with the same working fluid mass filling (δm/m ≤ 0.1%), represent an extreme convex function depending on the magnitude of inclination angle φ in the injection channels, with a maximum at the swirled angle of the vapour flow φ = 26°±2°. The magnitude of KHP excess with a swirling vapour flow over the identical HPs with a direct vapour flow reaches 10%.

Keywords: heat pipes, hydraulic resistance, vapour channel, heat transfer coefficient.

All references

1. Герасимов Ю.Ф., Майданик Ю.Ф., Щеголев Г.Т., Филиппов Г.А, Стариков Л.Г., Кисеев В.М., Долгирев Ю.Е.Низкотемпературные тепловые трубы с раздельными каналами для пара и жидкости. // Инженерно-физический журнал. 1975. т. 28. №6. с. 957-960. [Gerasimov Yu.F., Maidanik Yu.F., Shchegolev G.T., Filippov G.A., Starikov L.G., Kiselev V.M., Dolgirev Yu.E. Low-temperature heat pipes with separate channels for steam and liquid. Engineering Physics Journal. 1975. vol. 28. No.6. pp. 957-960. (in Russian)]

2. Tong B.Y., Wong T.N., Ooi K. T. Closed-loop pulsating heat pipe.Applied Thermal Engineering. 2001. v. 21, no 18. pp. 1845-1862.

3. Akachi H. Structure of Heat Pipe. US patent 4921041. 1990.

4. Seryakov A.V. Intensification of heat transfer processes in the low temperature short heat pipes with Laval nozzle formed vapour channel. American Journal of Modern Physics. 2018. v.7. no 1, pp. 48-61.

5. Seryakov A.V. Сomputer modeling of the vapour vortex orientation changes in the short low temperature heat pipes. International Journal of Heat and Mass Transfer.2019.v.140. pp.243-259.

6. Seryakov A.V. Resonant vibration heat transfer coefficient increase of short low-temperature heat pipes. International Journal of Heat and Mass Transfer.2020. v. 158. pp. 1-22.

7. Гольдштик М.А.Вихревые потоки. Новосибирск: Наука, 1981. 336 с. [GoldstickM.A. Vortexflow. Novosibirsk: Nauka, 1981. 336 p. (in Russian)]

8. Алексеенко С.В., Куйбин П.А, Окулов В.Л. Введение в теорию концентрированных вихрей. Новосибирск: ИнститутТеплофизики2003, 504 с.[Alekseenko S.V., Kuibin P.A., Okulov V.L. Introduction to the theory of concentrated vortices. Novosibirsk: Institute of Thermophysics 2003, 504 p.]

9. Халатов А.А.Теория и практика закрученных потоков. Киев: НауковаДумка1989. 192с. [Khalatov A.A. Theory and practice of swirling flows. Kiev: Naukova Dumka 1989. 192 p. (in Russian)]

10. Гупта А., Лилли Д., Сайред Н.Закрученные потоки. М.: Мир, 1987. 588 с. [Gupta A., Lilly D., Sayred N. Swirled Flows. Moscow: Mir, 1987. 588 p.(in Russian)]

11. Щукин В.К.Теплообмен и гидродинамика внутренних потоков в полях массовых сил. М.: Машиностроение, 1980.240 с. [Shchukin V.K. Heat exchange and hydrodynamics of internal flows in the fields of mass forces. M.: Mashinostroenie, 1980. 240 p.(in Russian)]

12. Щукин В.К. Халатов А.А.Теплообмен, массообмен и гидродинамика закрученных потоков в осесимметричных каналах. М.: Машиностроение, 1982.200 с. [Shchukin V.K., Khalatov A.A. Heat transfer, mass transfer and hydrodynamics of twisted flows in axisymmetric channels. M.: Mashinostroenie, 1982. 200 p.(in Russian)]

13. Холодкова О.Ю., Фафурин А.В.Экспериментальное исследование теплоотдачи в цилиндрическом канале при наличии начальной закрутки и вдуве различных газов. В книге Тепломассообмен в двигателях летательных аппаратов. Труды КАИ. Казань, 1974, вып. 178, с. 20-27. [Kholodkova O. Yu., Fafurin A. V. Experimental study of heat transfer in a cylindrical channel in the presence of initial swirling and blowing of various gases. In the book Heat and Mass Exchange in Aircraft Engines. Proceedings of KAI. Kazan, 1974, v. 178, pp. 20-27.(in Russian)]

14. Лойцянский Л.Г. Механика жидкости и газа. 7-еизд. М: 2003.840 с. [Loytsyansky L.G. Mechanics of liquid and gas. 7th ed. M: 2003. 840 p.(in Russian)]

15. Ландау Л.Д., Лифшиц Е.М.Теоретическая физика в 10 томах. Том6. Гидродинамика. М: Наука, 1986. 736 с. [Landau L.D., Lifshits E. M. Theoretical Physics in 10 volumes. Volume 6. Hydrodynamics. M: Nauka, 1986. 736 p.(in Russian)]

16. Seryakov A.V. The solving of the inverse thermal conductivity problem for study the short linear heat pipes. Engineering.2022.v.14, pp. 1-32.

17. Серяков А.В., Алексеев А.П.Решение обратной задачи теплопроводности для исследования коротких линейных тепловых труб // Вестник Международной академии холода. 2022. № 1. с. 83-97. [Seryakov A.V., Alekseev A.P. A solution of inverse heat conduction problem for investigating short liner heat pipes. Journal of International Academy of Refrigeration. 2022. No 1. p.83-97. (in Russian)]

18. Кутателадзе С.С., Леонтьев А.И.Тепломассообмен и трение в турбулентном пограничном слое. М.: Энергия. 1972. 376 с. [Kutateladze S.S., Leontiev A.I. Heat and Mass Exchange and Friction in Turbulent Boundary Layer. M.: Energia. 1972. 376 p.(in Russian)]

19. Prandtl L. Gesamelte Abhandlungen. Berlin u. a. Springer-Verlag, 1961, Bd. 2, pp. 798-811.

20. Bradshaw P. The analogy between streamline curvature and buoyancy in turbulent shear flow. Journal of Fluid Mechanics.1969. v. 36, pt. 1, pp. 177-191.

21. Кутателадзе С.С., Волчков Э.П., Терехов В.И.Аэродинамика и тепломассообмен в ограниченных вихревых потоках. Новосибирск: ИТ СО АН СССР. 1987, 282 с. [Kutateladze S.S., Volchkov E.P., Terekhov V.I. Aerodynamics and Heat and Mass Transfer in Limited Vortex Flows. Novosibirsk: IT SB AN USSR. 1987, 282 p.(in Russian)]

22. Гостинцев Ю.А.Тепломассообмен и гидравлическое сопротивление при течении по трубе вращающейся жидкости // Известия АН СССР. Механикажидкостиигаза. 1968. № 5. с. 115-119. [Gostintsev Yu.A. Heat and mass transfer and hydraulic resistance in the course of a rotating liquid flow through a pipe. Izvestiya AN USSR Mekhanika Zhidkosti i Gaza. 1968, no 5, pp. 115-119. (in Russian)]

23. Мигай В.К., Голубев Л.К.Трение и теплообмен в турбулентном закрученном потоке с переменной круткой в трубе// Известия АН СССР. ЭнергетикаиТранспорт. 1969, № 4, с. 141-145. [Migai V.K., Golubev L.K. Friction and heat exchange in a turbulent swirled flow with variable torsion in a pipe. Izvestiya AN USSR Energetika i Transport.1969, No. 4, pp. 141-145. (in Russian)]

24. Seryakov A. V., Alekseev A. P. A Study of the Short Heat Pipes by the Monotonic Heating Method. Journal of Physics: Conference Series. 2020. 1683 022051.

25. Corino E.R., Brodkey R.S. A visual investigation of the wall region in turbulent flow. Journal of Fluid Mechanics. 1969.v. 37.no 1, pp.1-30.

26. Щукин А.В.Турбулентный пограничный слой на криволинейной поверхности // Известия вузов. Авиационнаятехника. 1978. № 3. с. 113-120. [Shchukin A.V. Turbulent boundary layer on a curvilinear surface. Izvestiya Vuzov. Aviation Engineering. 1978, no 3, pp. 113-120.(in Russian)]

27. Устименко Б.П.Процессы турбулентного переноса во вращающихся течениях. Алма-Ата: Наука. 1977. 228 с. [Ustimenko B.P. Turbulent transfer processes in rotating flows. Alma-Ata: Nauka. 1977. 228 p.(in Russian)]

28. Gillis J.C., Johnston J.P., Kays W.M., Moffat R.J. Turbulent boundary layer on a convex, curved surface: Report NHMT-31. Stanford University. 1980. 295 p.

29. Bradshaw P. Review. Complex turbulent flows. Transactions ASME. Ser. I, 1975, v. 97, № 2, pp.146-154.

30. Wattendorf F.H. A study of effect of curvature on fully developed flow. Proceedings of the Royal Society, London. Ser. A. 1935, v. 148, pp. 565-597.

31. Mayle R.E., Blair M.E., Kopper F.C. Turbulent boundary layer heat transfer on curved surfaces. Transactions ASME. Journal of Heat transfer. 1979. v. 101, no 3. pp. 521-525.

32. Васильев А.П., Кудрявцев В.М., Кузнецов В.А. и др.Основы теории и расчета жидкостных ракетных двигателей. В 2-х книгах. М: Высш. шк., 3-е изд., 1993. [VasilievA.P.; KudryavtsevV.M.; KuznetsovV.A. etal. Fundamentals of theory and calculation of liquid rocket engines. In 2 books. M: Vyshaya shkola 3rd ed., 1993. (in Russian)]

33. Brassard D., Ferchichi M. Transformation of polynomial for a contraction wall profile. Journal of Fluids Engineering. 2005. v. 127. pp. 183-185.

34. Kurokava J., Kajigaya A., Matusi J., Imamura H. Supression of swirl in a conical diffuser by use of J-groove, in: Proc. 20^th IAHR Symposium on hydraulic machinery and systems. Charlotte, North Carolina, USA, DY-01. 2000.

35. Doolan C.J. Numerical evaluation of contemporary low-speed wind tunnel contraction designs. Journal of Fluids Engineering. 2007. v. 129. pp. 1241-1244.

Read the full article