Solution to External and Internal Heat and Mass Transfer Problems for Closed Two-Phase Thermosyphon
Authors: Aleksandrov A.A., Akatev V.A., Tyurin M.P., Borodina E.S. | Published: 26.07.2017 |
Published in issue: #4(73)/2017 | |
DOI: 10.18698/1812-3368-2017-4-109-121 | |
Category: Informatics, Computer Engineering and Control | Chapter: Mathematical Modelling. Numerical Methods, and Software Systems | |
Keywords: numerical simulation, two-phase closed thermosyphon, chemical technology, energy-saving technologies, internal and external heat and mass transfer problems |
The paper presents the results of the analytical study of heat and mass transfer processes with the use of a two-phase closed thermosyphon (TPCT). The article gives a mathematical description of heat and mass transfer process in a TPCT, the description being done in the form of a system of differential equations of mass, momentum and energy conservation, complemented by single-valuedness conditions in the form of equations of heat and material balance, as well as boundary conditions. We determined the values of heat-transfer coefficients to the outer surface of the evaporator and from the outer surface of the condenser by solving the external problem considering the conditions of the flow around the thermosyphon by the flue gas stream. Wherein, for the heated tank solution and the section of the furnace mixing chamber, the systems of the conservation equations of mass, momentum, and energy were also used considering their specificity and corresponding boundary conditions. Thus, we identified the heat and mass transfer conditions in the thermosyphon under conditions as close as possible to the real ones. We applied a numerical finite element method to solve internal and external problems and obtained a numerical solution for the axisymmetric problem of natural convection in a cylindrical TPCT with heat-conducting walls. We took into consideration the conditions of heat transfer with the surrounding medium, which approximates the results of calculations to real conditions. The article presents some results of calculations, in particular: distribution of velocities and temperatures in the furnace mixing chamber (the evaporator zone); change of the mean values of heat transfer coefficients along the length of the thermosyphon; temperature distribution along the length of the thermosyphon on its internal and external surface. The results of the calculations indicate a high efficiency of the TPCT in solving the problem of heating the working solutions with the heat of flue gases for industrial production conditions.
References
[1] Kuznetsov G.V., Al-Ani M.A., Sheremet M.A. Numerical analysis of convective heat transfer in a closed two-phase thermosyphon. Journal of Engineering Thermophysics, 2011, vol. 20, no. 2, pp. 201-210. DOI: 10.1134/S1810232811020081 Available at: https://link.springer.com/article/10.1134/S1810232811020081
[2] Rashidian B., Amidpour M., Jafari Nasr M.R. Modeling the transient response of the thermosyphon heat pipes. Proc. of the World Congress on Engineering, 2008, vol. II, pp. 1530-1535. Available at: http://www.iaeng.org/publication/WCE2008/WCE2008_pp1530-1535.pdf
[3] Kuznetsov G.V., Al-Ani M.A., Sheremet M.A. Numerical analysis of the temperature difference impact on energy transfer regimes in the closed two-phase cylindrical thermosyphone. Izvestiya TPU [Bulletin of the Tomsk Polytechnic University], 2010, no. 4, vol. 317, pp. 13-19 (in Russ.).
[4] Zanardi M.A., Leite N.G.C. Theoretical modeling of a two-phased thermosyphon assuming the liquid reservatory. Thermal Engineering, 2007, vol. 6, no. 1, pp. 74-88.
[5] Kuznetsov G.V., Al-Ani M.A., Sheremet M.A. Mathematical simulation of heat transfer transient modes in two-phase closed cylindrical thermosyphon in conditions of convective heat exchange with the environment. Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i mekhanika [Tomsk State University Journal of Mathematics and Mechanics], 2011, no. 1 (13), pp. 93-104 (in Russ.).
[6] Harley C., Faghri A. Complete transient two-dimensional analysis of two-phase closed thermosyphons including the falling condensate film. J. Heat Transfer, 1994, vol. 116, pp. 418-426. DOI: 10.1115/1.2911414 Available at: http://heattransfer.asmedigitalcollection.asme.org/article.aspx?articleid=1441684
[7] Tang Z.W., Han Y.F., Liu A.J., Song W.G. Modeling analysis of bubble flow regime in a closed two-phase thermosyphon. Int. J. Heat Mass Transfer, 2011, vol. 47, no. 12, pp. 1685-1689. DOI: 10.1007/s00231-011-0789-5 Available at: https://link.springer.com/article/10.1007/s00231-011-0789-5
[8] Patil Aniket D., Yarasu Ravindra B. Factors affecting the thermal performance of two phase closed thermosyphon: A review. Int. J. of Emerging Technology and Advanced Engineering, 2012, vol. 2, iss. 9, pp. 202-206. Available at: http://www.ijetae.com/files/Volume2Issue9/IJETAE_0912_33.pdf
[9] Pan Y. Condensation characteristics inside a vertical tube considering the presence of mass transfer, vapor velocity and interfacial shear. Int. J. of Heat and Mass Transfer, 2001, vol. 44, no. 23, pp. 4475-4482. DOI: 10.1016/S0017-9310(01)00087-4 Available at: http://www.sciencedirect.com/science/article/pii/S0017931001000874
[10] Ong K.S., Tong W.L. Inclination and fill ratio effects on water filled two-phase closed thermosyphon. Proc. 10th Int. Heat Pipe Symp., Taipei. 2011, pp. 167-171.
[11] Yong J.P., Hwan K.K., Chul J.K. Heat transfer characteristics of a two-phase closed thermosyphon to the fill charge ratio. Int. J. of Heat and Mass Transfer, 2002, vol. 45, no. 23, pp. 4655-4661. DOI: 10.1016/S0017-9310(02)00169-2 Available at: http://www.sciencedirect.com/science/article/pii/S0017931002001692
[12] Kravets V.Yu., Chernobay V.A., Gotovtseva A.K. Heat transfer characteristics of two-phase thermosyphon. Vostochno-evropeyskiy zhurnalperedovykh tekhnologiy [Eastern-European Journal of Enterprise Technologies], 2012, vol. 2, no. 8 (56), pp. 61-63. (in Ukr.).
[13] Emami M.R. Sarmasti, Noie S.H., Khoshnoodi M. Effect of aspect ratio and filling ratio on thermal performance of an inclined two-phase closed thermosyphon. Iranian Journal of Science & Technology Transaction B: Engineering, 2008, vol. 32, no. B1, pp. 39-51.
[14] Borodina E.S., Zinov’yev V.V., Rozanov I.Yu., Sazhin B.S., Kesoyan G.A. Teploobmennyy apparat [Heat exchanger]. Patent RF 2473856. Appl. 20.10.2011, publ. 27.01.2013 (in Russ.).
[15] Borodina E.S., Tyurin M.P., Rozanov I.Yu., Kochetov L.M., Bel’danova O.G. Termosifonnyy teploobmennyy apparat [Thermosyphon heat exchanger]. Patent RF № 2532061. Appl. 20.11.13, publ. 27.10.2014 (in Russ.).
[16] Tyurin M.P., Borodina E.S., Kochetov L.M., Bel’danova O.G. The theoretical modelling of heat-and-mass transfer processes in the two-phase closed thermosyphon. Dizayn i tekhnologii, 2014, no. 41, pp. 55-59 (in Russ.).
[17] Tyurin M.P., Borodina E.S., Kochetov L.M. Mathematical modelling of transport processes in closed thermosyphon taking into account a pool of non-evaporating liquid. Innovatsii, kachestvo i servis v tekhnike i tekhnologiyakh. Sb. nauch. trudov 4-y Mezhdunarodnoy nauchno-prakticheskoy konferentsii. T. 2 [Innovations, quality and service in technique and technologies. Proc. 4th Int. Sci. and Practical Conf. Vol. 2], 2014, pp. 195-198 (in Russ.).