Linear driving force approximation in cyclic adsorption processes: Simple results from system dynamics based on frequency response analysis

The linear driving force (LDF) approximation for cyclic adsorptive processes is discussed on the basis of model equivalence with the homogeneous diffusion model (HDM), the pore diffusion model (PDM) and the intraparticle diffusion and convection model (IDCM). Model equivalence is based on the frequency response of the adsorbent particle, namely on the equality of the amplitude ratio and the phase-lag functions. The analysis of the continuous stirred tank adsorber (CSTA) and of the plug flow adsorber (PFA) is addressed.

[1]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[2]  E. Alpay,et al.  The linear driving force model for fast-cycle adsorption and desorption in a spherical particle , 1992 .

[3]  G. Carta Exact solution and linear driving force approximation for cyclic mass transfer in a bidisperse sorbent , 1993 .

[4]  K. Chao,et al.  Kinetics of fixed‐bed adsorption: A new solution , 1979 .

[5]  Luís S. Pais,et al.  Separation of 1,1'-bi-2-naphthol enantiomers by continuous chromatography in simulated moving bed , 1997 .

[6]  Douglas M. Ruthven,et al.  Principles of Adsorption and Adsorption Processes , 1984 .

[7]  A. Rodrigues,et al.  Intraparticle‐forced convection effect in catalyst diffusivity measurements and reactor design , 1982 .

[8]  G. Carta The linear driving force approximation for cyclic mass transfer in spherical particles , 1993 .

[9]  Nir Avinoam,et al.  Simultaneous intraparticle forced convection, diffusion and reaction in a porous catalyst , 1977 .

[10]  G. Carta,et al.  Diffusion and convection in permeable particles: Analogy between slab and sphere geometries , 1992 .

[11]  N. Hassan The adsorption of long-chain n-paraffin from isooctane solution on crystalline urea , 1994 .

[12]  R. G. Rice Approximate solutions for batch, packed tube and radial flow adsorbers—comparison with experiment , 1982 .

[13]  G. Carta,et al.  Diffusion, convection, and reaction in catalyst particles : analogy between slab and sphere geometries , 1993 .

[14]  E. Glueckauf,et al.  Theory of chromatography. Part 10.—Formulæ for diffusion into spheres and their application to chromatography , 1955 .

[15]  Dong Hyun Kim Linear driving force formulas for diffusion and reaction in porous catalysts , 1989 .

[16]  Dong Hyun Kim A new linear formula for cyclic adsorption in a particle , 1996 .

[17]  A. Rodrigues,et al.  Adsorptive separation by thermal parametric pumping part I: Modeling and simulation , 1995 .

[18]  S. Nakao,et al.  Mass transfer coefficient in cyclic adsorption and desorption. , 1983 .