Simple wave effects in two-component nonlinear liquid chromatography: application to the measurement of competitive adsorption isotherms

Standing wave design of nonlinear SMB systems for fructose purification

“…In nonlinear systems the two solutes compete for adsorption sites and their concentrations are interdependent. Such dependence is determined only by the isotherm and the feed concentrations and can be found when the concentration profiles are plotted in the hodograph plot (Rhee et al, 1970(Rhee et al, , 1971(Rhee et al, , 1989Ma et al, 1990b). In the absence of mass-transfer effects, the concentrations of the two solutes ( Figures 2b and 2c), the hodograph plot is independent of column length and flow rate; it only depends on the feed concentrations and the isotherms (Figure 2d).…”

“…Since both c , and c2 are linearly related, cpl and cp2 can be determined from the following equations (Rhee et al, 1989;Ma et al, 1990b) where a , -a a , Note when c2 = 0, c, = c p l , and when c , = 0, c2 = cp2 ( Figure 2d). The y+ and y-are the roots of the following quadratic equation Equation 19 can be derived from Eq.…”

Determination and comparison of competitive isotherms by frontal analysis and frontal velocity analysis

“…These data are more accurate than a relative concentration measurement. In addition to this, some useful information regarding the single-component isotherm of the more retained component can be derived from the diffuse boundary of the binary zone (usually its rear) by following the simple wave method [13,14]. The rectangular pulse method was used by Carta et al [12] and by Jacobson et al [11].…”

Modelling the Competitive Sorption Process of Multiple Solutes During their Transport in Porous Media

“…However, this isotherm has little theoretical background, especially in liquid-solid equilibria [23]. This model is thermodynamically consistent only if the sorption capacity, Q Ld,i , is the same for all solutes [16].…”