1999
DOI: 10.1021/ie990038o
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Experimental Study of Wave Propagation Dynamics of Multicomponent Distillation Columns

Abstract: Distillation columns with sharp separations exhibit severely nonlinear behavior, which has been known to cause difficulties in column control and design. Such a column is characterized by sharp composition and temperature variations in the column. Previously, the binary distillation case was thoroughly analyzed using a nonlinear wave theory and such an analysis was experimentally validated. For multicomponent distillation, the complicated nonlinear dynamics of the movement and interference of multiple sharp co… Show more

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Cited by 8 publications
(9 citation statements)
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“…Nevertheless, the composition domain is not suited for the division procedure in terms of hyperquadrilaterals because of its geometry (that is, not defined by a Cartesian product but by the manifold Σ N c x i = 1 on ℝ N c ). An algebraic transformation, based on the h - transform or hyperplane transformation , was therefore utilized to obtain an orthogonal space analogous to the composition domain and suited for the division algorithm. The h -transform is usually employed in the study of nonlinear wave propagation phenomena in separation processes.…”
Section: Partitioning the Thermodynamic Spacementioning
confidence: 99%
See 1 more Smart Citation
“…Nevertheless, the composition domain is not suited for the division procedure in terms of hyperquadrilaterals because of its geometry (that is, not defined by a Cartesian product but by the manifold Σ N c x i = 1 on ℝ N c ). An algebraic transformation, based on the h - transform or hyperplane transformation , was therefore utilized to obtain an orthogonal space analogous to the composition domain and suited for the division algorithm. The h -transform is usually employed in the study of nonlinear wave propagation phenomena in separation processes.…”
Section: Partitioning the Thermodynamic Spacementioning
confidence: 99%
“…). An algebraic transformation, based on the h-transform or hyperplane transformation, 19 was therefore utilized to obtain an orthogonal space analogous to the composition domain and suited for the division algorithm. The h-transform is usually employed in the study of nonlinear wave propagation phenomena in separation processes.…”
Section: The H-transformationmentioning
confidence: 99%
“…Recently, the dynamics of a continuous distillation column has been well explained as wave propagation theoretically as well as experimentally (Marquardt, , Hwang, Hwang et al, Ting et al, and Kienle 18 ). The control of distillation columns based on wave propagation models has been studied by several researchers.…”
Section: Profile Position Controlmentioning
confidence: 99%
“…The nonlinear wave theory was first developed in the model reduction of separation and heat transfer processes (Ting et al, 1999). In this theory, the distribution of the concentration or temperature is described as a constant wave, and the dynamics of the processes can be seen as traveling waves.…”
Section: Introductionmentioning
confidence: 99%