Parametric dependence of solution multiplicity in reactive flashes

Biodiesel Production by Reactive Flash: A Numerical Simulation

“…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]).…”

“…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].…”

“…By using the Damköhler number as continuation parameter, twenty-five bifurcation diagrams were found, exhibiting three steady states and five feasibility boundaries, when the heat of reaction, the activation energy, or the relative volatility is increased. Rodríguez et al [7] investigated an isobaric reactive flash with controlled kinetics and a constant split fraction. They found that in this situation the coupling of the energy balance does not drive multiplicities with the material balances and phase equilibrium equations.…”

On the multiple solutions of the flash equations

“…They found that the existence of multiple steady states and their stability properties are related to a dimensionless quantity that depends on the heat of reaction, vaporization rate and the mixture composition. The same group extended their work to study the parametric dependence of multiplicities for reactive flash systems (Rodríguez et al, 2004).…”

Steady‐state multiplicity in an adiabatic continuous stirred tank reactor with vapor recycle

“…A number of authors have studied systems with reaction and evaporative cooling. Rodrguez et al analyzed a reactive flash with constant split fraction and no recycle and showed that the ratio of the activation energy to the heat of vaporization must be greater than one for multiplicity to occur. Waschler et al studied an isobaric reactive flash with vapor recycle.…”