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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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18.4 Nonlinear Solute Movement Analysis

Since most adsorption and ion exchange separations of commercial significance operate in the nonlinear region of the isotherm, the previous analysis needs to be expanded to nonlinear systems. Nonlinear behavior is distinctly different than linear behavior since one usually observes shock or constant pattern waves during the feed step and diffuse or proportional pattern waves during regeneration. Experimental evidence for constant pattern waves is shown in Figure 18-15A. The isotherm for carbon dioxide on activated carbon is a Langmuir-type shape. During loading we expect shock or constant pattern waves. This is clearly shown in the top figure since the waves can be moved along the time axis and easily ...

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