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

Jaime-Leal, José Enrique; Bonilla-Petriciolet, Adrián; Segovia‐Hernández, Juan Gabriel; Hernández, Salvador; Hernández‐Escoto, Héctor

doi:10.1016/j.cherd.2012.02.017

Cited by 2 publications

(5 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The topological form of the bifurcation shapes of this work is of type " " such as typically displayed in continuous stirred tank chemical reactor and reactive flash. This is supported by other studies (Rodríguez et al [7], Ruiz et al [8], Alvarez-Ramirez [27], Jaime-Leal et al [9], and Harney et al [26]).…”

Section: Resultssupporting

confidence: 81%

“…The manifold point is the state space for the dynamic system of DAEs defined by (9), which induces a vector field on .…”

Section: Global Regularity Condition On Manifold Pointmentioning

confidence: 99%

“…Multiple steady states exist in conventional chemical reactors operated in continuous mode (i.e., continuous stirred tank reactors) and in nonreactive and reactive distillation columns. Investigations of the physical phenomena that cause multiplicities of steady states and Hopf bifurcations in RD have been reported by many researchers around the word [5][6][7][8][9][10][11][12][13][14][15][16][17]. These studies show that there are various reasons for the occurrence of output and input multiplicity, which include multiple steady states caused by heat effects, or kinetic instabilities [6,18,19], or presence of singularities due to nonlinear transformation and decoupling of energy balance [20].…”

Section: Introductionmentioning

confidence: 98%

“…Jaime-Leal et al [9] introduced a new approach and conditions to identify input multiplicity in reactive flash, based on the application of reaction-invariant composition variables. Finally, Harney et al [26] demonstrate that dynamic behavior of reactive flash and reactive distillation represented by index-2 system of differential algebraic equations (DAEs) can be reduced to an ordinary differential equations system (ODE) by single differentiation; the resulting Jacobian matrix will have a null eigenvalue at every steady state with multiplicity of at least the dimension y.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Biodiesel Production by Reactive Flash: A Numerical Simulation

Regalado-Méndez

Skogestad

Natividad

et al. 2016

International Journal of Chemical Engineering

View full text Add to dashboard Cite

Reactive flash (RF) in biodiesel production has been studied in order to investigate steady-state multiplicities, singularities, and effect of biodiesel quality when the RF system approaches to bubble point. The RF was modeled by an index-2 system of differential algebraic equations, the vapor split (ϕ) was computed by modified Rachford-Rice equation and modified Raoult’s law computed bubble point, and the continuation analysis was tracked on MATCONT. Results of this study show the existence of turning points, leading to a unique bubble point manifold,(xBiodiesel,T)=(0.46,478.41 K), which is a globally stable flashing operation. Also, the results of the simulation in MATLAB® of the dynamic behavior of the RF show that conversion of triglycerides reaches 97% for a residence time of 5.8 minutes and a methanol to triglyceride molar flow ratio of 5 : 1.

show abstract

Section: Resultssupporting

confidence: 81%

“…The manifold point is the state space for the dynamic system of DAEs defined by (9), which induces a vector field on .…”

Section: Global Regularity Condition On Manifold Pointmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Biodiesel Production by Reactive Flash: A Numerical Simulation

Regalado-Méndez

Skogestad

Natividad

et al. 2016

International Journal of Chemical Engineering

View full text Add to dashboard Cite

show abstract

“…These extra degrees of freedom also lead to MSS in DWC distillation. This phenomenon has been studied and verified by some researchers . Wayburn and Seader , have been the first to report the existence of MSS in an interlinked separation column, using a differential arc‐length homotopy continuation method.…”

Section: Introductionmentioning

confidence: 68%

Design of a Dividing‐Wall Column Considering its Multiple Steady State Characteristic

Song

Wang

2017

Chem Eng & Technol

View full text Add to dashboard Cite

A dividing-wall column (DWC) may have more than one solution of liquid and vapor split ratio for the same feed and product streams under a fixed number of stages and reflux ratio, so the multiple steady states (MSS) of a DWC in the design stage should be considered. An improved design method of a DWC is proposed by studying its MSS characteristics. Additional steps are inserted after optimization to check if MSS exist for the obtained optimal solution of vapor and liquid split ratio, and further to select the best candidate. Finally, two cases of threeproduct DWCs are described to verify this method. The results indicate that multiple solutions exist for these cases, which confirm the necessity of this method and provide an important guidance for the flowing design of a DWC.

show abstract

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

Cited by 2 publications

References 34 publications

Biodiesel Production by Reactive Flash: A Numerical Simulation

Biodiesel Production by Reactive Flash: A Numerical Simulation

Design of a Dividing‐Wall Column Considering its Multiple Steady State Characteristic

Contact Info

Product

Resources

About