Low-dimensional models for describing mixing effects in laminar flow tubular reactors

Chakraborty, Saikat; Balakotaiah, Vemuri

doi:10.1016/s0009-2509(02)00129-x

Cited by 48 publications

(52 citation statements)

References 18 publications

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“…We consider an isothermal autocatalytic reaction of the type A+2B→3B occurring in a tubular reactor of radius a and length L. Starting from the unsteady state 3-D convection-diffusion-reaction (CDR) equation, we obtain a 2-D low dimensional model using Liapunov-Schmidt based spatial-averaging technique [5], followed by regularization [6]. The resultant axially-averaged model is given in terms of the axially-averaged reactant concentration i c as 2 , 2 2…”

Section: Mathematical Modelingmentioning

confidence: 99%

Dynamic Simulation of Mixing-Limited Symmetric and Asymmetric Patterns in Homogeneous Autocatalytic Reactors

Chaudhury

Chakraborty

2010

Ind. Eng. Chem. Res.

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SummaryIn this paper we study the dynamic evolution of mixing-limited patterns in homogeneous autocatalytic reactors. Using a regularized low dimensional model, our previous works [1, 2, 3] mainly focused on the symmetric patterns that develop due to the difference in mixing and reaction time scales, while our present paper simulates the formation of asymmetric patterns, which have been observed in experimental studies [4]. We find that higher eigen modes of initial perturbation lead to patterns that are more stable and more asymmetric than those formed from lower modes.

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Section: Mathematical Modelingmentioning

confidence: 99%

Dynamic Simulation of Mixing-Limited Symmetric and Asymmetric Patterns in Homogeneous Autocatalytic Reactors

Chaudhury

Chakraborty

2010

Ind. Eng. Chem. Res.

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“…where the characteristic macromixing time scales (t mix Þ for the ith species of the substrate and the eth species of the enzyme (E e Þ are given by (Chakraborty and Balakotaiah, 2002) …”

Section: Three-zone Model Equationsmentioning

confidence: 99%

“…In order for our model to capture the fundamental phenomena at the disparate length and time scales intrinsic to this complex system, the model has been rigorously formulated from the fundamental Convection-Diffusion-Reaction equations using the Liapunov-Schmidt method of the classical bifurcation theory (Chakraborty and Balakotaiah, 2002). In the process of validating our multiscale three-zone reactive mixing model using our experimental data on optimal mixing strategy for batch enzymatic hydrolysis of cellulose (Pal and Chakraborty, 2013), we shall engineer a smart strategy of scale separating the reactor mixing to attain significant leaps in glucose yields for the production of cellulosic fuels.…”

Section: Introductionmentioning

confidence: 99%

A multiscale three-zone reactive mixing model for engineering a scale separation in enzymatic hydrolysis of cellulose

Chakraborty

Raju

Pal

2014

Bioresource Technology

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“…Laminar flow regime is very predominant in food processing and polymer processing and often involves viscous liquids. Modelling of the flow with reactions taking place during flow is a greater challenge and has been studied extensively in the last 50 years [6]. The RTD of a system modelled as a rigid pipe and laminar flow is a typical case in food processing industry [7].…”

Section: Introductionmentioning

confidence: 99%

Numerical Testing and Validation of a Model for Laminar Flow Tubular Reactor

Kallur¹,

Raj²

2014

IJIRSET

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Non-ideality in the reactors is accounted traditionally using Residence Time Distribution (RTD) studies. However RTD studies are conducted on existing reactors. Therefore accounting for non-ideality at the design stage using RTD is not possible. There are several causes of non-ideality in the reactors. The non-ideality in Laminar Flow Tubular Reactor (LFTR) is due to variation in velocity in the radial direction, diffusion and convection effects of reacting and product species. One peculiar feature of LFTR is the non-ideality due to radial variation in velocity is mathematically deterministic. There is no work reported in the literature that makes use of this deterministic nature of non-ideality except some analytical methods for simple kinetics. The present paper deals with simple mathematical model that makes use of theoretical RTD of LFTR to predict the reactor performance for general kinetics by a numerical method. Testing and validation of the model is done for kinetics for which analytical solutions are not available. Algorithm for numerical testing is developed. The algorithm is used to develop computer code which is used to predict reactor performance and testing. The reactor performances predicted are compared with already well established methods. The results agree well.

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Low-dimensional models for describing mixing effects in laminar flow tubular reactors

Cited by 48 publications

References 18 publications

Dynamic Simulation of Mixing-Limited Symmetric and Asymmetric Patterns in Homogeneous Autocatalytic Reactors

Dynamic Simulation of Mixing-Limited Symmetric and Asymmetric Patterns in Homogeneous Autocatalytic Reactors

A multiscale three-zone reactive mixing model for engineering a scale separation in enzymatic hydrolysis of cellulose

Numerical Testing and Validation of a Model for Laminar Flow Tubular Reactor

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