direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Logo der TU Berlin

Inhalt des Dokuments

Adsorption Equilibria and Ideal Adsorbed Solution Theory

From Fachgebiet Regelungssysteme TU Berlin

Jump to: navigation, search



The competitive adsorption isotherms are the most essential information for the design and optimization of separation processes based on selective adsorption. In joint work with the PCF group [[1]], based on ideal adsorbed solution theory, a competitive adsorption isotherm model is derived for binary mixtures characterized by single component isotherms which are second order truncations of higher order equilibrium models. Here, analytical representations of the competitive isotherms are determined explicitly. Moreover, we have developed a new approach to solve the nonlinear equilibrium equations for mixtures with an arbitrary number of components characterized by rather general non- decreasing single component adsorption isotherm behavior. In addition, we have derived an analytical expression for the Jacobian of these equilibrium loadings revealing its hyperbolicity. This explicit form of the Jacobian improves significantly the numerics for multi-component adsorption dynamics. In related work with the PSD group on chromatographic processes, we provide spectral results for adsorption equilibria described by Modified Langmuir and Bi-Langmuir isotherms, and answer questions on strict or non-strict hyperbolicity and on the existence of watershed points. For ternary systems we show that hyperbolicity in the positive orthant may fail.

People involved



  1. Milica Ilić, Dietrich Flockerzi, Andreas Seidel-Morgenstern. A thermodynamically consistent explicit competitive adsorption isotherm model based on second-order single component behaviour. Journal of Chromatography, 1217 (14):2132–2137, April 2010.

Recommend this page