Modeling of filmwise condensation on curvilinear fins with condensate suction from interfin grooves
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 63-69.

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Under numerical study is the nonsteady filmwise vapor condensation on curvilinear fins with condensate suction from the interfin grooves with account taken of the surface tension and gravity. The problem is reduced to solving a nonlinear evolution equation for the condensate film thickness. We carry out the calculations of the ethanol vapor condensation at the atmospheric pressure on fins of constant curvature with for various temperature differences between the fin surface and the vapor saturation temperature and at different values of condensate suction rate from the interfin grooves. Numerical calculations show that the condensation process in the condenser with condensate suction is stable. The filling of the interfin groove leads to a decrease in the zone of intense condensation and reduces the condensate inflow, and so it leads to a stable equilibrium between the condensate suction rate and the condensate inflow. Small changes in the temperature of the condenser under constant condensate suction rate lead to a change of the filling level of the interfin grooves and to the establishement of a stationary process if the temperature of the fin becomes constant.
Mots-clés : vapour condensation
Keywords: finning, heat exchange, condensate suction.
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I. V. Marchuk; A. A. Barskii; O. A. Kabov. Modeling of filmwise condensation on curvilinear fins with condensate suction from interfin grooves. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 63-69. http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a6/

[1] Gregorig R., “Hautkondensation an feingewellten Oberflachen bei Beruksichtigung der Oberflachenspannungen”, Z. Angew. Math. Phys., 5:1 (1954), 36–49 | DOI | Zbl

[2] Karhu V. A., Borovkov V. P., “Film vapor condensation on horizontal tubes with small fins”, Inzh.-Fiz. Zh., 29:4 (1970), 617–624

[3] Zener C., Lavi A., “Drainage systems for condensation”, J. Heat Transfer, 96 (1974), 209–205

[4] Adamek T., “Bestimmung der Kondensationgrossen auf feingewellten Oberflachen zur Auslegung optimaler Wandprofile”, Warme und Stoffubertragung, 15 (1981), 255–270 | DOI

[5] Webb R. L., “Enhancement of film condensation”, Internat. Comm. Heat Mass Transfer, 15 (1988), 475–507 | DOI

[6] Bromley L. A., Hemphris R. F., Murray V., “Condensation and evaporation on rotating disks with radial flutes”, Proc. Amer. Soc. Engrg.-Mech. Ser. C Heat Transfer, 88:1 (1966), 87–96

[7] Zhu Hui-Ren, Honda Hiroshi, “Optimization of fin geometry of a horizontal low-finned condenser tube”, Heat Transfer: Japanese Research, 22:4 (1993), 372–386

[8] Honda Hiroshi, Kim Kyoohee, “Effect of fin geometry on the condensation heat transfer performance of a bundle of horizontal low-finned tubes”, J. Enhanced Heat Transfer, 2:1–2 (1995), 139–147

[9] Marchuk I. V., Kabov O. A., “A problem in the calculas of variations for film condensation on curvilinear fins”, J. Engrg. Thermophysics, 12:3 (2003), 199–210

[10] Marchuk I. V., Glushchuk A. V., Kabov O. A., “Vapor condensation on nonisothermal curvilinear fins”, Tech. Phys. Letters, 32:5 (2006), 388–391 | DOI

[11] Kabov O., Marchuk I., Rodionova D., “Condensation on curvilinear fins (effect of groove flooding): EMERALD experiment of ESA”, Microgravity Sci. Technology, 19:3–4 (2007), 121–124 | DOI

[12] Lyulin Y., Marchuk I., Chikov S., Kabov O., “Experimental study of laminar convective condensation of pure vapor inside an inclined circular tube”, Microgravity Sci. Technology, 23:4 (2011), 439–445 | DOI

[13] Marchuk I. V., Lyulin Yu. V., Kabov O. A., “Theoretical and experimental study of convective condensation inside circular tube”, Interfacial Phenomena and Heat Transfer, 1:2 (2013), 153–171 | DOI

[14] Marchuk I. V., Kabov O. A., “Film Wise Vapor Condensation on Curvilinear Surfaces”, Encyclopedia of Two-Phase Heat Transfer and Flow, 2 (2015), 133–176

[15] Marchuk I. V., Kabov O. A., “Model of filmwise vapor condensation on curved surfaces”, Doklady Physics, 61:1 (2016), 19–23 | DOI

[16] Markowitz A., Mikic B. B., Bergles A. E., “Condensation on a downward-facing horizontal rippled surface”, J. Heat Transfer, 94 (1972), 315–320 | DOI

[17] Marchuk I. V., “Thermocapillary deformation of a horizontal liquid layer under flash local surface heating”, J. Engrg. Thermophysics, 24:4 (2015), 381–385 | DOI