Dynamic Modeling of a Packed-Bed Glycerol−Water Distillation Column

Abstract

The study of the dynamics of a packed-bed glycerol-water distillation column is valuable for precise control to improve product quality and to conserve material. A differential dynamic model has been established for the continuous distillation of the glycerol-water system at 10 mmHg absolute. In this model, hydraulic and mass transfer models of structured packing were used to estimate the vapor and liquid holdups and the mass transfer coefficients. The model equations were solved numerically using the finite difference method. It was found that numerical solution of the proposed dynamic model with liquid, vapor, and reflux drum holdups took less computation time than the other models even when either liquid or vapor holdup was neglected. This method of solution reduced the size of system of differential equations from 2n + 1 to n + 1, thus improving the numerical accuracy and saving computation time. The effect of liquid, vapor, and reflux drum holdup on the dynamic behavior of the column was studied. It was found that the liquid and vapor holdups have almost no effect on the dynamics of the packed column. The response of the composition along the height of the column showed nonlinear behavior in response to changes in the reflux drum temperature. The results of this work shed some light on the dynamic behavior of packed-bed distillation columns with highly nonlinear equilibrium relationship due to step changes in the reflux drum temperature.

Dynamic Modelling and Optimal Control of a Multicomponent Batch Packed Distillation Column

“…The approach used by Attarakih et al (2001) is applied to convert partial differential equations (PDEs) to ordinary differential equations (ODEs) as follows:…”