Residence time distribution theory for unsteady stirred tank reactors

1969 ◽  
Vol 24 (9) ◽  
pp. 1461-1470 ◽  
Author(s):  
E.B. Nauman
Keyword(s):  
Residence Time ◽  
Time Distribution ◽  
Residence Time Distribution ◽  
Distribution Theory ◽  
Stirred Tank ◽  
Stirred Tank Reactors

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

Processes ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 615 ◽  
Author(s):  
Peter Toson ◽  
Pankaj Doshi ◽  
Dalibor Jajcevic
Keyword(s):  
Residence Time ◽  
Time Distribution ◽  
Residence Time Distribution ◽  
Flow Reactor ◽  
Plug Flow ◽  
Stirred Tank ◽  
Stirred Tank Reactors ◽  
Delayed Impulse ◽  
In Series ◽  
Back Mixing

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.

scholarly journals Experimental study and mathematical modeling of the residence time distribution in magnetic mixer

2013 ◽  
Vol 15 (2) ◽  
pp. 53-60 ◽  
Author(s):  
Rafał Rakoczy ◽  
Marian Kordas ◽  
Przemysław Grądzik ◽  
Maciej Konopacki ◽  
Grzegorz Story
Keyword(s):  
Magnetic Field ◽  
Residence Time ◽  
Time Distribution ◽  
Residence Time Distribution ◽  
Rotating Magnetic Field ◽  
Experimental Investigations ◽  
Stirred Tank Reactors ◽  
Continuous Stirred Tank ◽  
Set Up ◽  
Magnetic Mixer

This study reports on research results in the field of a mixing process under the action of a transverse rotating magnetic field (TRMF). The main objective of this paper is to present the effect of this type of a magnetic field on residence time distribution (RTD) measurements. This paper evaluates the performance of a magnetic mixer by comparing the results of an experimental investigations in a pilot set-up and theoretical values obtained from mathematical model. This model consisting of the set of ideal continuous stirred tank reactors (CSTR) fitted well the experimental data.

Hydrodynamic Investigation in an Annular Reactor with Mixing Time and Residence Time Distribution: Flow Rates Estimation with the Gauss-Newton Gradient Technique

2011 ◽  
Vol 6 (1) ◽  
Author(s):  
Skandar Rjeb ◽  
Ahmed Hannachi ◽  
Ratal Abdelhamid
Keyword(s):  
Residence Time ◽  
Time Distribution ◽  
Residence Time Distribution ◽  
Search Algorithm ◽  
Mixing Time ◽  
Chemical Reactor ◽  
Computer Code ◽  
Flow Rates ◽  
Stirred Tank Reactors ◽  
Gradient Technique

In this work, flow patterns within an annular chemical reactor were characterized. The reactor was modeled by a cascade of communicating Continuous Stirred Tank Reactors (CSTRs) exchanging flow rates of variable intensities. Mixing time and Residence Time Distribution measurements were used as basis for flow modeling. A Matlab computer code has been developed to predict the exchanged flow rates through the minimization of an objective function. This paper describes the parameter estimation technique which is based on the Gauss-Newton method with a linear search algorithm. Only two opposite flow rates between reactor compartments were assumed and were identified for various mixing conditions. For the studied cases, the predicted responses were close to the experimental measurements.

Gas residence time distribution in stirred tank bioreactors

1983 ◽  
Vol 38 (12) ◽  
pp. 2015-2025 ◽  
Author(s):  
M. Popovic ◽  
A. Papalexiou ◽  
M. Reuss
Keyword(s):  
Residence Time ◽  
Time Distribution ◽  
Residence Time Distribution ◽  
Stirred Tank
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