Abstract
In this paper, the numerical algorithms for solution of pore volume and surface diffusion model of adsorption systems are constructed and investigated. The approximation of PDEs is done by using the finite volume method for space derivatives and ODE15s solvers for numerical integration in time. The analysis of adaptive in time integration algorithms is presented. The main aim of this work is to analyze the sensitivity of the solution with respect to the main parameters of the mathematical model. Such a control analysis is done for a linearized and normalized mathematical model. The obtained results are compared with simulations done for a full nonlinear mathematical model.
Highlights
It is well-known that during recent years the environmental pollution questions become a very important issue
In order to understand and to control effectively the adsorption process we propose and analyze the linearized adsorption kinetics model
If γ > 0, the the adsorption kinetics is described by two stages: first a quasistationary solution is fastly reached and both components decay slowly due to the linear sink term
Summary
It is well-known that during recent years the environmental pollution questions become a very important issue. In this paper we consider the complex pore volume and surface diffusion model, presented in [11, 13, 16]. This model includes bulk liquid phase mass balance and the mass balance equation for both solid and liquid phases of the particle. We consider the special methods for appropriate numerical approximation of the model for adsorption kinetics, analyze the stability of the obtained discrete problem and investigate the sensitivity of the solution with. In order to understand and to control effectively the adsorption process we propose and analyze the linearized adsorption kinetics model. It shown that using such simplification we can model the adsorption process quite accurately. It is shown that using the proposed simplified linear models we can predict the main trend of the adsorption process quite accurately
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