The stability of a reactive flash

Rodriguez, Ivan E.; Zheng, Alex; Malone, Michael F.

doi:10.1016/s0009-2509(01)00126-9

Cited by 14 publications

(14 citation statements)

References 13 publications

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“…Different numerical methods have been used to detect and predict the presence of multiple states in these separation systems where homotopy continuation approaches have been widely applied for predicting and analyzing the multiplicity via bifurcation diagrams (Güttinger and Morari, 1999a and Tanskanen, 2010). However, to the best of our knowledge, only few studies have been conducted on multiplicity in reactive flash separations (Rodríguez et al, 2001(Rodríguez et al, , 2004Lakerveld et al, 2005;Ruiz et al, 2006). Note that the flash separation problem is one of the most important chemical engineering problems and is recurrent in the modeling and design of separation systems based on vapor-liquid phase equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Analysis and prediction of input multiplicity for the reactive flash separation using reaction-invariant composition variables

Jaime-Leal

Bonilla-Petriciolet

Segovia‐Hernández

et al. 2012

Chemical Engineering Research and Design

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Section: Introductionmentioning

confidence: 99%

Analysis and prediction of input multiplicity for the reactive flash separation using reaction-invariant composition variables

Jaime-Leal

Bonilla-Petriciolet

Segovia‐Hernández

et al. 2012

Chemical Engineering Research and Design

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“…The existence of feasibility boundaries was outlined, but this aspect was not detailed. Rodriguez et al employed an even simpler model, the isobaric adiabatic reactive flash. , They showed that multiplicity is caused by the interaction between separation and reaction in systems in which the activation energy and the gradient of the boiling temperature with composition are sufficiently large. Because vapor−liquid equilibrium can create multiple steady states, state multiplicity becomes possible in endothermic or slightly exothermic systems, which typically do not display multiplicity in a one-phase CSTR.…”

Section: Introductionmentioning

confidence: 99%

Exothermic Isomerization Reaction in a Reactive Flash: Steady-State Behavior

Lakerveld

Bîldea

Almeida-Rivera

2005

Ind. Eng. Chem. Res.

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The paper addresses the steady-state behavior of a reactive flash, characterized by an exothermic isomerization reaction with first-order kinetics and a light-boiling reactant. The dimensionless model distinguishes between the state variables, control parameters, and system properties. The combination of state multiplicity and feasibility boundaries corresponding to no-liquid or no-vapor products leads to complex steady-state behavior. Twenty-five bifurcation diagrams are presented, exhibiting a maximum of three steady states and five feasibility boundaries. Singularity theory is used to divide the Damko ¨hler number-heat input space into regions with qualitatively different behavior for liquid, vapor, and vapor-liquid feeds. Further, it is shown that large heat of reaction, activation energy, and reactant volatility enlarge the range of operating parameters for which multiple states exist.

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“…The multiple steady states for these two columns were investigated by Chen et al, who conclude that multiplicities are lost for high values of Da for TAME, while the opposite is found for MTBE. This conclusion, however, is specific to the column configurations descrbed in Jacobs−Krishna 2 and Mohl et al Rodriguez et al. , discuss causes for the existence of multiple steady states in binary and ternary systems. The most important reactive separation process problems where multiplicity exists, such as MTBE and TAME processes, involve more than three components.…”

Section: Introductionmentioning

confidence: 96%

Isothermal Isobaric Reactive Flash Problem

Ruiz

Sridhar

Rengaswamy

2006

Ind. Eng. Chem. Res.

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In this article, we present some results for isothermal isobaric reactive separation process problems. We also demonstrate that, even in isothermal isobaric reactive separation processes, which are probably the least nonlinear of all reactive separation processes, we get nonlinear phenomenon such as Hopf bifurcations. While it has been shown that Hopf bifurcations are impossible in isothermal continuous stirred tank reactor (CSTR) problems involving the methyl tert-butyl ether (MTBE) and tert-amyl methyl ether (TAME) reactions, and also in nonreactive flash problems, we demonstrate in this paper that isothermal reactive flash processes involving both MTBE and TAME mixtures exhibit Hopf bifurcations. This shows that instabilities and oscillations can occur even in isothermal reactive separation systems and are not necessarily due to multiple stages. Additionally, we show that the Rachford-Rice procedure can be extended to reactive systems.

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The stability of a reactive flash

Cited by 14 publications

References 13 publications

Analysis and prediction of input multiplicity for the reactive flash separation using reaction-invariant composition variables

Analysis and prediction of input multiplicity for the reactive flash separation using reaction-invariant composition variables

Exothermic Isomerization Reaction in a Reactive Flash: Steady-State Behavior

Isothermal Isobaric Reactive Flash Problem

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