Isothermal dynamics of adsorption in diluted sorbent layers; The adsorber with an infinite sorption layer
The phenomenological model of the adso rba te transport in isothermal adsorber with a consta nt di a mete r was solved for an infinite, static a nd statistically homogeneous and isotropic sorption layer of consta nt composi t ion. The layer was formed by a mixture of the adsorbent and the inert materia l grains with identica l form and size. The model applies the linear adsorption isotherm and acco unts for co ntributions of the convection, axial dispersion, external and internal diffu sion and ra te of adsorption. The obta ined Laplace's image of the solution was used [(;r calculatio n of the statistical moments up to the fourth order. The ana lysis o f the efrect of dilution on the sepa ration effici ency (cha rac teri zed by a number of theoretical pla tes) has led to the conclusio n th at for equa l a mo unts o f the adsorbent , the more diluted laye r will have hi gher effic iency, or, for equal separa tion effici encies, the amount of the adso rbent in the more diluted layer will be lower th an in the less dilut ed layer. It has been shown that the contribution of axia l dispersio n has a pos iti ve, primary effect on the separa tion efficiency.