Features for the Determination of Parameters of Equilibrium Adsorption Model by a Nonlinear Regression Process of Experimental Data

Chavdar Chilev (1) , Ivan Pentchev (1) , Farida Lamari (2) , Evgeni Simeonov (1)

1 UCTM - University of Chemical Technology and Metallurgy
2 LSPM - Laboratoire des Sciences des Procédés et des Matériaux

A mathematical model with four parameters describing the adsorption equilibrium of supercritical gases on microporous adsorbents in a wide range of pressures is studied. Numerical experiments related to determining the model parameters by nonlinear regression process of experimental data are carried out. From a physical point of view for a particular system adsorbent/adsorbat at a given temperature, these parameters are strictly defined. There was instability in determining the two of the parameters during the process of nonlinear regression related to proposed different initial values and obtained incorrect final results. The mathematical model is transformed by combining of these two parameters. Thus a three parametric model is received. The parameters of the resulting model are correctly determined during the process of nonlinear regression independently of the given initial values.

Mots clés: adsorption; regression process; equilibrium

Domaines: Chimie théorique et/ou physique; Génie chimique

Chavdar Chilev, Ivan Pentchev, Farida Lamari, Evgeni Simeonov. Features for the Determination of Parameters of Equilibrium Adsorption Model by a Nonlinear Regression Process of Experimental Data. Journal of Chemical Technology and Metallurgy (JCTM), 2012, 47 (5), pp.540-545. ⟨hal-03369997⟩