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The curves are approximated by the constant pattern asymptotic solution.
The constant pattern wave hypothesis was confirmed by the experimental data.
This differential equation derived without the constant pattern assumption has been solved analytically.
They also show how the concentration of the stoichiometric point of the constant pattern front depends on the kinetic mechanism.
The solution includes both the transition region and the range of the constant pattern which is fully developed in a finite time and finite column length.
Both fluid and solid resistances are represented by linearized rate expressions but the solution is obtained without recourse to the constant pattern assumption.
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The constant-pattern state is critical for obtaining pure products with high yield and high productivity.
On the contrary, the constant-pattern wave model using a constant driving force model for finite ion-exchange rate provided a better fit to the experimental data.
The experimental results showed that the constant-pattern wave model using the Langmuir isotherm equation could capture the dynamic behaviour of the adsorption column.
Judging from the comparisons made, simulated first moments deviate from the true values by less than one percent, reduced second moments by 20 30% in the short-column region and by 11% in the constant-pattern region, and skews by 10 15% in the short-column region and by 10% in the constant-pattern region.
The obtained liquid-phase mass transfer coefficient was correlated to the flow velocity and other operating parameters; the breakthrough curves under varying operating conditions could thus be predicted by the constant-pattern wave model using the correlation.
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