Numerical solution of film condensation from turbulent flow of vapor–gas mixtures in vertical tubes

A complete two-phase model is presented for film condensation from turbulent downward flow of vapor–gas mixtures in a vertical tube. The model solves the complete parabolic governing equations in both phases including a model for turbulence in each phase, with no need for additional correlation equations for interfacial heat and mass transfer. A finite volume method is used to form the discretized mean flow equations for conservation of mass, momentum, and energy. A fully coupled solution approach is used with a mesh that automatically adapts to the changing film thickness. The results of using three turbulence models involving combinations of mixing length and k–e models in the film and mixture regions are compared. This new model is extensively compared with previous numerical and experimental studies. In the experimental comparisons, it was found that a model consisting of a k–e turbulence model for both the film and the mixture flows produced the best agreement. Results are also presented for a parametric study of condensation from steam-air mixtures. The effects of changes to the inlet Reynolds number, the inlet gas mass fraction, and the inlet-to-wall temperature difference on the film thickness and heat transfer are presented and discussed. Local profiles of axial velocity, temperature, and gas mass fraction are also presented.

[1]  S. Revankar,et al.  Analysis of the complete condensation in a vertical tube passive condenser , 2005 .

[2]  W. Nusselt Die Oberflachenkondensation des Wasserdampfes , 1916 .

[3]  M. Shah A general correlation for heat transfer during film condensation inside pipes , 1979 .

[4]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[5]  P. K. Panday Two-dimensional turbulent film condensation of vapours flowing inside a vertical tube and between parallel plates: a numerical approach , 2003 .

[6]  Richard Thorsen,et al.  Forced flow laminar filmwise condensation of a pure saturated vapor in a vertical tube , 1980 .

[7]  A. Dehbi,et al.  A model for the performance of a vertical tube condenser in the presence of noncondensable gases , 1997 .

[8]  M. Siddique,et al.  The effects of noncondensable gases on steam condensation under forced convection conditions , 1992 .

[9]  Sang‐Jae Kim,et al.  Turbulent film condensation of high pressure steam in a vertical tube of passive secondary condensation system = 피동이차응축계통의 수직관에서 고압 증기의 난류 막응축 , 2000 .

[10]  Mujid S. Kazimi,et al.  Theoretical modeling of forced convection condensation of steam in a vertical tube in the presence of a noncondensable gas , 1994 .

[11]  M. K. Groff Numerical solution for turbulent film condensation from vapor-gas mixtures in vertical tubes , 2005 .

[12]  C. L. Tien,et al.  GENERAL FILM CONDENSATION CORRELATIONS , 1987 .

[13]  Said I. Abdel-Khalik,et al.  Two-fluid modeling of condensation in the presence of noncondensables in two-phase channel flows , 1995 .

[14]  Shripad T. Revankar,et al.  Laminar film condensation in a vertical tube in the presence of noncondensable gas , 2005 .

[15]  Hee Cheon No,et al.  Non-Iterative Condensation Model for Steam Condensation with Noncondensable Gas in a Vertical Tubes , 2002 .

[16]  Mujid S. Kazimi,et al.  Forced convection in-tube steam condensation in the presence of noncondensable gases , 1996 .

[17]  J. Pohner,et al.  A two-fluid analysis of filmwise condensation in tubes , 1989 .

[18]  M. Ke,et al.  Forced convective film condensation inside vertical tubes , 1993 .

[19]  J. H. Goodykoontz,et al.  Local heat-transfer coefficients for condensation of steam in vertical downflow within a 5/8-inch-diameter tube , 1966 .

[20]  R. D. Jackson,et al.  Heat Transfer 1 , 1965 .

[21]  Ulrich Renz,et al.  Heat transfer and film thickness during condensation of steam flowing at high velocity in a vertical pipe , 1992 .

[22]  Chuan-Jing Tu,et al.  Effects of non-condensable gas on laminar film condensation in a vertical tube , 1988 .