Minimum internal recycle in nonideal homogeneous multicomponent distillation

Abstract A new rigorous method for the determination of the minimum reflux and reboil ratios for nonideal homogeneous distillation is outlined. The method is based on column simulation with a large number of equilibrium stages to mimic an infinitely high column. The MESH equations are solved, when necessary, by a homotopy continuation method. Instead of product compositions, feasible keys are specified. The search strategy for the minimum ratios is based on the fact that the column pinches at the minimum internal recycle lead to a decoupling of the column ends. It is shown by several examples that the method can be applied to highly nonideal multicomponent mixtures. Until now, the need for manual iteration has been overcome. Even though the code is not properly speeded up, the execution time is promising with the current PC technology. Furthermore, some pitfalls in minimum energy calculations, which have been overlooked in the literature, are reported in this paper.

[1]  E. Blass,et al.  Minimum reflux calculations for nonideal mixtures using the reversible distillation model , 1991 .

[2]  Don W. Green,et al.  Perry's chemical engineers' handbook. 7th ed. , 1997 .

[3]  T. L. Wayburn,et al.  Homotopy continuation methods for computer-aided process design☆ , 1987 .

[4]  J. D. Seader,et al.  Simulation of continuous reactive distillation by a homotopy-continuation method , 1988 .

[5]  J. Prausnitz Computer calculations for multicomponent vapor-liquid and liquid-liquid equilibria , 1980 .

[6]  J. W. Kovach Heterogenous azeotropic distillaion-homotopy-continuation methods , 1987 .

[7]  J. Gaube J. Gmehling, U. Onken: Vapor‐Liquid Equilibrium Data Collection, Aqueous‐Organic Systems, in der Reihe: Chemistry Data Series, Vol. I, Part. 1. DECHEMA, Frankfurt 1977. 698 Seiten, Preis: DM 120,‐ , 1978 .

[8]  S. Glanz,et al.  Calculating minimum reflux of nonideal multicomponent distillation using eigenvalue theory , 1994 .

[9]  D. J. Vickery,et al.  Path-following approaches to the solution of multicomponent, multistage separation process problems , 1986 .

[10]  Jorge R. Paloschi,et al.  Bounded homotopies to solve systems of sparse algebraic nonlinear equations , 1997 .

[11]  Eugene L. Allgower,et al.  Numerical continuation methods - an introduction , 1990, Springer series in computational mathematics.

[12]  E. Blass,et al.  A review on minimum energy calculations for ideal and nonideal distillations , 1995 .

[13]  A. W. Westerberg,et al.  The product composition regions of single-feed azeotropic distillation columns , 1992 .

[14]  G. D. Byrne,et al.  Distillation calculations using a locally paramaterized continuation method , 1985 .

[15]  Michael F. Doherty,et al.  Design and synthesis of homogeneous azeotropic distillations. 2. Minimum reflux calculations for nonideal and azeotropic columns , 1985 .

[16]  S. Skogestad DYNAMICS AND CONTROL OF DISTILLATION COLUMNS A tutorial introduction , 1997 .

[17]  M. F. Malone,et al.  Feasibility of separations for distillation of nonideal ternary mixtures , 1993 .

[18]  J. Ilavský,et al.  Global simulation of countercurrent separation processes via one-parameter imbedding techniques , 1981 .

[19]  Thomas Kuen,et al.  Minimum energy demand for distillations with distributed components and side-product withdrawals , 1994 .

[20]  Johann Stichlmair,et al.  Minimum reflux and minimum reboil in ternary distillation , 1993 .

[21]  D. Vickery,et al.  An efficient continuation method for the solution of difficult equilibrium stage separation process problems , 1988 .

[22]  Achim Kienle,et al.  Bifurcation analysis and steady-state multiplicity of multicomponent, non-equilibrium distillation processes , 1991 .

[23]  Michael F. Doherty,et al.  Geometric behavior and minimum flows for nonideal multicomponent distillation , 1990 .

[24]  Johann Stichlmair,et al.  Minimum energy demand of distillation columns with multiple feeds , 1997 .

[25]  J. Gmehling Vapor-Liquid Equilibrium Data Collection , 1977 .

[26]  J. R. Knight,et al.  Design and synthesis of homogeneous azeotropic distillations. 5. Columns with nonnegligible heat effects , 1986 .

[27]  J. D. Seader Computer modeling of chemical processes , 1985 .

[28]  Michael F. Malone,et al.  Nonideal Multicomponent Distillation: Use of Bifurcation Theory for Design , 1991 .