A fundamental model for prediction of sieve tray efficiency

Abstract A phenomenological model for froth structure is proposed based on the analysis of froth images of an active sieve tray taken from a 0.153 m distillation column. Froth is defined as a combination of bubbles and continuous jets that break the surface of froth projecting liquid splashes and drops above the surface. To estimate the fraction of small bubbles in froth, a fundamentally sound theoretical expression is derived from turbulent break-up theory. A new model for predicting point efficiency of cross-flow sieve trays has been developed based on the hydrodynamics of an operating sieve tray represented by the proposed froth structure model. This efficiency model is applicable for both froth and spray regime. Fraction of by-passed or uninterrupted gas jet is considered as the determining factor for froth to spray transition. The net efficiency is estimated by adding up the contributions of both bubbles and jets present in the dispersion. The model is tested against the efficiency data of cyclo-hexane/n-heptane and i-butane/n-butane mixtures.

[1]  Rakesh Agrawal,et al.  New pressure drop correlation for sieve tray distillation columns , 1983 .

[2]  J. M. Burgess,et al.  The measurement of bubble parameters in two-phase dispersions—I: The development of an improved probe technique , 1975 .

[3]  Yoshinori Kawase,et al.  Mathematical models for design of bioreactors: Applications of: Kolmogoroff's theory of isotropic turbulence , 1990 .

[4]  M. J. Lockett,et al.  Froth regime point efficiency for gas-film controlled mass transfer on a two-dimensional sieve tray , 1979 .

[5]  T. Yanagi,et al.  Performance of a commercial scale 14% hole area sieve tray , 1982 .

[6]  M. J. Lockett,et al.  Effect of non-uniform bubbles in the froth on the correlation and prediction of point efficiencies , 1983 .

[7]  Douglas Leslie Bennett,et al.  New correlation for sieve‐tray point efficiency, entrainmnt, and section efficiency , 1997 .

[8]  J. Hinze Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes , 1955 .

[9]  F. J. Zuiderweg,et al.  Sieve trays: A view on the state of the art , 1982 .

[10]  James R. Fair,et al.  Fundamental model for the prediction of sieve tray efficiency , 1990 .

[11]  James R. Fair,et al.  A Fundamental Model for the Prediction of Distillation Sieve Tray Efficiency. 1. Database Development , 2000 .

[12]  D. J. Nicklin,et al.  Two-phase bubble flow , 1962 .

[13]  J. M. Burgess,et al.  The measurement of bubble parameters in two-phase dispersions—II: The structure of sieve tray froths , 1975 .

[15]  James R. Fair,et al.  Prediction of point efficiencies on sieve trays. 1. Binary systems , 1984 .

[16]  J. R. Fair,et al.  Bubble-to-spray transition on sieve trays , 1987 .

[17]  Karl T. Chuang,et al.  Prediction of point efficiency for sieve trays in distillation , 1993 .

[18]  A. W. Etchells,et al.  Bubble breakage in pipeline flow , 1991 .

[19]  R. Higbie,et al.  The Rate of Absorption of a Pure Gas into a Still Liquid during Short Periods of Exposure , 1935 .

[20]  Neal R. Amundson,et al.  Analysis of Breakage in Dispersed Phase Systems , 1966 .

[21]  James R. Fair,et al.  A Fundamental Model for the Prediction of Distillation Sieve Tray Efficiency. 2. Model Development and Validation , 2000 .

[22]  N. Amundson,et al.  Breakage and Coalescence in Dispersed Phase Systems , 1966 .

[23]  Judy A Raper,et al.  The structure of industrial sieve tray froths , 1982 .