Stability analysis and passivity properties for a class of chemical reactors: Internal entropy production approach

García-Sandoval, J.P.; González‐Álvarez, V.; Calderón, Cristian J.

doi:10.1016/j.compchemeng.2015.01.021

Cited by 25 publications

(19 citation statements)

References 38 publications

(43 reference statements)

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“…On the other hand, it seems that the potential exploited in (García-Sandoval et al, 2015), derived in (Kjelstrup et al, 2010), offers some advantages for stability analysis. Finally, based on the above formalism, it seems that the following directions for research could lead towards interesting results:…”

Section: Formalismmentioning

confidence: 99%

“…Beyond the questions of stability analysis and stabilizing feedback control design under a thermodynamical evolution constraint (Hoang and Dochain, 2013;Ramirez et al, 2013), stability analysis using entropy production as a Lyapunov function candidate (Favache and Dochain, 2009;García-Sandoval et al, 2015), (classical) thermodynamics theory was also exploited for the design of state observers in . From an application point of view, many studies have been conducted on the Continuously Stirred Tank Reactor (CSTR), and the proposed techniques showed great potential in applications and uncovered interesting aspects from a theoretical point of view.…”

Section: Introductionmentioning

confidence: 99%

“…The second author gratefully acknowledges the financial support of the Viet Nam National Foundation for Science and Technology Development (NAFOSTED) through project code 104.99-2014.74. and from the derivation of the entropy generation term associated to the chemical reactions (Hoang et al, 2014). As illustrated in the contributions (Hoang et al, 2014) and (García-Sandoval et al, 2015), one way to alleviate this problem is to rewrite the mass-action kinetics in a thermodynamically-consistent manner, i .e., to re-express mass-action kinetics a potential-driven flux.…”

Section: Introductionmentioning

confidence: 99%

“…As illustrated in the contributions (Hoang et al, 2014) and (García-Sandoval et al, 2015), one way to alleviate this problem is to rewrite the mass-action kinetics in a thermodynamically-consistent manner, i .e., to re-express mass-action kinetics a potential-driven flux.…”

Section: Introductionmentioning

confidence: 99%

“…This approach is related to the formulation of kinetics exploited in (García-Sandoval et al, 2015), based on a formulation of (Kjelstrup et al, 2010). To contrast this approach, the contribution (Hoang et al, 2014) re-expressed the reaction fluxes Y as functions of the affinity A, i .e., the dual of the extended variables are fixed by using classical irreversible thermodynamics theory (de Groot and Mazur, 1962).…”

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confidence: 99%

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Towards a potential-based analysis of reacting systems11The research presented in this paper was supported by the Belgian Interuniversity Attraction Poles Phase VII/19 — “Dynamical systems, control and optimization” (DYSCO) and the Belgian Fonds National de la Recherche Scientifique (FNRS). The second author gratefully acknowledges the financial support of the Viet Nam National Foundation for Science and Technology Development (NAFOSTED) through project code 104.99-2014.74.

et al. 2015

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This contribution discusses open and closed reacting systems. In recent years, this subject has attracted the attention of many researchers, studying the problems of stability characterization exploiting thermodynamics potentials and reacting invariant structures description using a graph-theoretic approach. Here, we outline an approach to these problems from the expression of mass-action kinetics as potential-driven reacting forces.

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Section: Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Towards a potential-based analysis of reacting systems11The research presented in this paper was supported by the Belgian Interuniversity Attraction Poles Phase VII/19 — “Dynamical systems, control and optimization” (DYSCO) and the Belgian Fonds National de la Recherche Scientifique (FNRS). The second author gratefully acknowledges the financial support of the Viet Nam National Foundation for Science and Technology Development (NAFOSTED) through project code 104.99-2014.74.

et al. 2015

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Nonhomogeneous flow of micellar solutions: A kinetic—network theory approach

et al. 2018

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The rheological behavior of micellar solutions is analyzed under nonhomogeneous velocity and stress flow conditions. The framework is based on the extended irreversible thermodynamics and the transient network formulation coupled to the underlying kinetics embodying two relevant processes: formation of wormlike chains from a free micellar solution through a thermally activated process and their flow induced degradation. The second kinetic process consists in the formation of entanglements from the free wormlike chains and their flow-induced breakage. These processes are modeled in a coupled kinetic scheme constituted by a set of reversible kinetic equations describing the evolution in average of the three microstates (free short rod-like micelles, free wormlike chains, and entangled wormlike chains) that reflect the complexity of macromolecular interactions. The predictions of the shear stress and first normal stress difference as a function of shear-rate under banded flow are in good agreement with experimental data.

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A simple kinetic model for complex rheological fluids based on irreversible thermodynamics

et al. 2019

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In this work, we analyze the kinetics of the entanglement-disentanglement process of complex fluids coupled to a rheological constitutive equation of state within an irreversible thermodynamics framework. In the context of the coupling between the kinetics and the mechanical phenomena, we assume that the rate constants are functions of the affinities that contain the chemical potentials, which are themselves functions of the extended Gibbs free energy containing the irreversible dissipation terms. Although the derived model has a simple mathematical structure, it is able to predict complex flow behaviors, including shear-thickening, shear-thinning, and more complex flow histories such as shear-banding. As special case, we derive the constitutive equations of the Bautista-Manero-Puig (BMP) model in which the material constants have a thermodynamic basis and have been successfully used for the last two decades to predict the behavior of complex fluids such as the ones examined here.

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Stability analysis and passivity properties for a class of chemical reactors: Internal entropy production approach

Cited by 25 publications

References 38 publications

Nonhomogeneous flow of micellar solutions: A kinetic—network theory approach

A simple kinetic model for complex rheological fluids based on irreversible thermodynamics

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