In this paper, modeling and optimization of Fischer-Tropsch Synthesis is considered in a fixed-bed catalytic reactor using an industrial Fe-Cu-K catalyst. A one dimensional pseudo-homogenous plug flow model without axial dispersion is developed for converting syngas to heavy hydrocarbons. The effects of temperature, pressure, H2 to CO ratio in feed stream, and CO molar flow on the mass flow r...

This paper discusses the application of orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions partial differential equations. Collocation is performed at Gaussian points to obtain an optimal solution, hence name collocation. The used solve various cases Burgers’ equations, including modified equation. KdV–Burgers’ equation considered as a tes...

The paper proposed to use decentralized and centralized I-term neural sliding mode control of distributed parameter wastewater anaerobic digestion bioprocess plant. The bioprocess plant is described by partial differential equations simplified by means of the orthogonal collocation method and used as an input/output data generator. The obtained process data are identified by means of decentrali...

In this article, a Takagi-Sugeno fuzzy observer for the anaerobic digestion process in a fluidized bed reactor is proposed. First, a general explanation of this bioprocess is introduced. A model of the system discretized in the space by the orthogonal collocation method is presented. This model is analyzed locally to prove properties of stability and observability. Then, the design of the fuzzy...

Hierarchical structured α-Al2O3 is shown to be able to effectively disperse and immobilize iron species, in comparison with commercial α-Al2O3. After promotion using an appropriate amount of sulfur, iron catalysts exhibit not only enhanced Fischer-Tropsch synthesis activity and selectivity toward lower olefins, but also increased resistance against carbon deposits.

Non-linear diffusion and adsorption problems in heterogeneous systems are investigated in this study. Highly non-linear functions are proposed and are found necessary for the adequate representation of concentrationdependent diffusion coefficients in many practical heterogeneous diffusion and adsorption systems. The nonlinear differential equation governing the diffusion and absorption process ...

Stratégia adaptívneho riadenia pre triedu nelineárneho rozvoja bioprocesov This paper presents the control problem of a class of propagation bioprocesses that are carried out in fixed bed reactors. Since the dynamics of these processes are described by partial differential equations, in order to obtain useful models for control purposes, a possible method consists of approximation of their infi...

This paper investigates the state estimation of a high-fidelity spatially resolved thermalelectrochemical lithium-ion battery model commonly referred to as the pseudo two-dimensional model. The partial-differential algebraic equations (PDAEs) constituting the model are spatially discretised using Chebyshev orthogonal collocation enabling fast and accurate simulations up to high C-rates. This im...

We illustrate in the present paper how steady-state and unsteady-steady three-dimensional transport phenomena problems can be solved using the Chebyshev orthogonal collocation technique. All problems are elucidated using the ubiquitous software: MATLAB 1 . The treated case studies include: (1) unsteadystate heat conduction in a parallelepiped body, (2) quenching of a brick, (3) transient diffus...