Modelling residence time distribution in chemical reactors: A novel generalised n-laminar model

García-Serna, Juan; García‐Verdugo, Eduardo; Hyde, Jason R.; Fraga-Dubreuil, Joan; Poliakoff, Martyn; Cocero, Marı́a José

doi:10.1016/j.supflu.2006.08.016

Cited by 22 publications

(5 citation statements)

References 12 publications

(18 reference statements)

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“…This effect is independent from the velocity of the flow. There are some generalisations to this model (for example, References [30,31]), but Gutierrez et al [24] gave a dimensionless generalisation which is parametrised with the normalised breakthrough time θ 0 = t 0 /τ with 0 ≤ θ 0 ≤1:…”

Section: Convection Modelmentioning

confidence: 99%

Explicit Residence Time Distribution of a Generalised Cascade of Continuous Stirred Tank Reactors for a Description of Short Recirculation Time (Bypassing)

2019

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The tanks-in-series model (TIS) is a popular model to describe the residence time distribution (RTD) of non-ideal continuously stirred tank reactors (CSTRs) with limited back-mixing. In this work, the TIS model was generalised to a cascade of n CSTRs with non-integer non-negative n. The resulting model describes non-ideal back-mixing with n > 1. However, the most interesting feature of the n-CSTR model is the ability to describe short recirculation times (bypassing) with n < 1 without the need of complex reactor networks. The n-CSTR model is the only model that connects the three fundamental RTDs occurring in reactor modelling by variation of a single shape parameter n: The unit impulse at n→0, the exponential RTD of an ideal CSTR at n = 1, and the delayed impulse of an ideal plug flow reactor at n→∞. The n-CSTR model can be used as a stand-alone model or as part of a reactor network. The bypassing material fraction for the regime n < 1 was analysed. Finally, a Fourier analysis of the n-CSTR was performed to predict the ability of a unit operation to filter out upstream fluctuations and to model the response to upstream set point changes.

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Section: Convection Modelmentioning

confidence: 99%

Explicit Residence Time Distribution of a Generalised Cascade of Continuous Stirred Tank Reactors for a Description of Short Recirculation Time (Bypassing)

2019

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“…1 Note that in Osborne (1975) and Garcia-Serna et al (2007) the symbol n is not the flow behavior index but the power law velocity profile index, which we here denote as q. (30) and (31) become…”

Section: Flows In a Planar Channelmentioning

confidence: 99%

General pure convection residence time distribution theory of fully developed laminar flows in straight planar and axisymmetric channels

Wörner

2015

Chemical Engineering Science

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“…Each transfer function results in a corresponding RTD. It may be applicable for particular works. , This is reasonable because the link between processes inside a reactor and its RTD is still unsatisfying . Wolf and Resnick studied RTDs for various systems before 1963 .…”

Section: Introductionmentioning

confidence: 99%

Introduction to the Relation between the Residence Time Distribution and the Pipe Flow Pressure Drop

Emami-Meibodi¹

2022

Ind. Eng. Chem. Res.

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The concept of residence time distribution (RTD) has been used in various processes to have better modeling and predictions of the process’s performance. Pipe pressure drop against flow rate can give RTD and vice versa. The RTD based on the pressure drop is independent of Reynolds number (Re) and may coincide with the usual RTD or not. A new algorithm is proposed to evaluate the shear stress (τ) versus shear rate (γ̇) using pressure drop data. It uses a more suitable definition of shear rate compared to the usual capillary viscometer relation. The experimental system gives better insight into the proposed algorithms. The newly proposed solution of the dispersion model to derive the RTD is independent of boundary conditions. For packed bed systems, the RTD based on the pressure drop tends toward the RTD of the pipe laminar flow. The prediction of the proposed RTD for the conversion of gas-phase reactants in packed bed reactors is acceptable. It accounts for the pressure drop without complicated numerical calculations.

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Modelling residence time distribution in chemical reactors: A novel generalised n-laminar model

Cited by 22 publications

References 12 publications

Explicit Residence Time Distribution of a Generalised Cascade of Continuous Stirred Tank Reactors for a Description of Short Recirculation Time (Bypassing)

Explicit Residence Time Distribution of a Generalised Cascade of Continuous Stirred Tank Reactors for a Description of Short Recirculation Time (Bypassing)

General pure convection residence time distribution theory of fully developed laminar flows in straight planar and axisymmetric channels

Introduction to the Relation between the Residence Time Distribution and the Pipe Flow Pressure Drop

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