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Applications to Nonideal Reactors

  • Fabrizio Caccavale
  • Mario Iamarino
  • Francesco Pierri
  • Vincenzo Tufano
Part of the Advances in Industrial Control book series (AIC)

Abstract

Model-based control and early diagnosis of faults for ideal batch reactors have been considered in the previous chapters. In this chapter an attempt is made at considering the extension of these methods to real chemical batch reactors, which are characterized by nonideal fluid dynamics and the presence of multiphase systems. This task is faced through theoretical analysis and mathematical modeling. First, the models suitable for considering these causes of nonideal behavior are considered. Then, methods of scale-up are sketched, in order to face the problems deriving from the industrial scale dimensions of these reactors. On the basis of those arguments, the chapter and the book are ended with a few conclusions, which are hoped to represent useful suggestions both for developing future research work in this field and for applying the proposed approaches to real reactors.

Keywords

Batch Reactor Volumetric Flow Rate Real Reactor Adjacent Compartment Fluid Dynamic Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Principal Symbols

C

concentration [mol m−3]

D

reactor diameter [m]

ds

stirrer diameter [m]

fRT

retention time distribution function

FV

volumetric flow rate [m3 s−1]

Fr

dimensionless Froude number

g

gravitational acceleration [m s−2]

h

heat transfer coefficient [J m−2 K−1 s−1]

k

thermal conductivity [J m−1 K−1 s−1]

KP

power number

L

characteristic length [m]

Nc

number of reactor compartments

Nu

dimensionless Nusselt number

P

stirring power [J s−1]

\(\dot{Q}\)

thermal power [J s−1]

Re

dimensionless Reynolds number

S

heat exchange surface [m2]

t

time [s]

tb

batch time [s]

tP

residence time [s]

U

overall heat transfer coefficient [J m−2 K−1 s−1]

v

characteristic velocity [m s−1]

V

volume [m3]

Vc

compartment volume [m3]

Greek Symbols

β

surface fraction

δ

scale-up ratio of linear dimensions

ν

kinematic viscosity [m2 s−1]

ρ

density [kg m−3]

χ

dimensionless number defined in (7.6)

ω

angular stirrer speed [rad s−1]

Subscripts and Superscripts

av

mean value

c

main circulation flow

e

secondary exchange flow

E

exchanged

G

gas

j

jacket

ll

lower level

r

reactor

R

reaction

S

segregated conditions

ul

upper level

us

upstream

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Fabrizio Caccavale
    • 1
  • Mario Iamarino
    • 2
  • Francesco Pierri
    • 3
  • Vincenzo Tufano
    • 4
  1. 1.Dipartimento di Ingegneria e Fisica dell’AmbienteUniversità degli Studi della BasilicataPotenzaItaly
  2. 2.Dipartimento di Ingegneria e Fisica dell’AmbienteUniversità degli Studi della BasilicataPotenzaItaly
  3. 3.Dipartimento di Ingegneria e Fisica dell’AmbienteUniversità degli Studi della BasilicataPotenzaItaly
  4. 4.Dipartimento di Ingegneria e Fisica dell’AmbienteUniversità degli Studi della BasilicataPotenzaItaly

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