Yatay bir boru üzerindeki laminer film yoğuşmanın silindirik ve karteziyen sınır tabaka denklemleriyle simülasyonu

Bu araştırmada; buhar süpürmeli yoğuşma olarak adlandırılan iki fazlı akışın denklemleri sayısal yöntemle çözülerek, yatay tüp üzerinde su buharının yoğuşmasının değişik şartlardaki incelenmesi yapılmıştır. Elde edilen sonuçlar, Shekriladze et al.(3), Rose(1O), ve Homescu et al.(12) tarafından verilen teorik verilerle kıyaslanmış ve sonuçların uyumlu olduğu görülmüştür. Ayrıca silindirik sınır tabaka denklemleriyle yapılan analiz sonuçları ile kıyaslama yapılmıştır. Elde edilen sonuçlar grafikler halinde sunulmuştur.

Simulation of laminer film condensation over a horizontal tube using cylindirical and cartesian boundary layer equation

In this study, governing equation of the two phase flow named vapour shear induced flow of condensate has been numerically solved using finite difference method and the condensation over horizontal tubes has been examined under several physical conditions. The results obtained are compared with the previously given results by Shekriladze et al.(3), Rose(1O), and Homescu et al.(12) and found to be in good agreement. In addition the analysis is repeated by means of using cylindirical boundary layer equations and comparison with classical boundary layer equations has been made. Results obtained are given in graphics.

___

  • 1. Nusselt, W., "Die Oberflachen- Kondensation des Wasserdampfes", VDI Z., vol. 60, pp. 541-546 and 569-575,1916.
  • 2. Sparrow, E. M., and Gregg, J. L., "A Boundary- Layer Treatment of Laminar-Film Condensation ", J. of Heat Transfer, 81C,13-18,1959.
  • 3. Shekriladze, I. G. and Gomelauri, V. I., "Theoretical Study of Laminar Film Condensation of Flowing Vapor", Int. J. Heat Mass Transfer, vol. 9, 581-591, 1966.
  • 4. Fujii, T., and Uehara, H., "Laminar Filwise Condensation on a Vertical Surface", Int. J. Heat Mass Transfer., vol. 15, pp. 217-233, 1972.
  • 5. Fujii, T., Honda, H. and Oda, K. "Condensation of steam on a Horizontal Tube The Influence of Oncoming Velocity and Thermal Condition at the Tube Wall", Condensation Heat Mass Transfer., ASME, New York, pp. 35-43, 1979.
  • 6. Fujii, T., Uehara, H., and Oda, K., "Heat Transfer and Flow Resistance in Condensation of Low Pressure Steam Flowing Throuh Tube Bank", Int. J. Heat Mass Transfer., vol. 15, pp. 247-260, 1972.
  • 7. Truckenbrodt, E., "Ein Einfaches Naherungsverfahren Zum Berechnen Der Laminaren Reinbungsschicht mit Sabsaugung", Forscnung, vol, 22, pp.147-155, 1965.
  • 8. Gaddis, E. S., "Solution of the Two Phase Boundary-Layer Equations for Laminar Film Condensation of Vapor Flowing Perpendicular to a Horizontal Cylinder", Int. J. of Heat Mass Transfer, vol. 22, pp. 371-382, 1979.
  • 9. Rose, J. W., "Effect of pressure Gradient in Forced Convection Film Condensation on a Horizontal Tube", Int. J. Heat Mass Transfer., vol. 27, pp. 34-39, 1984.
  • 10.Rose, J. W., "A New Interpolation Formula for Forced Convection Condensation on a Horizontal Tube", ASME Journal of' Heat Transfer, vol, 111, pp. 818-819, 1989.
  • 11.Karabulut, H. ve Ataer, Ö. E., "Numerical Analysis of Laminar Film-Wise Condensation" , Int J. Refri. vol. 19, No. 2, pp. 117-123, 1996.
  • 12.Homescu, D., and Panday, P.K. "Forced Convection Condensation on a Horizontal Tube Influence of Turbulence in the Vapor and Liquid Phases", Transactionofthe ASME, vol. 121, pp. 874-885, 1999.