The counter-current backmixing model for fluid bed reactors - computational aspects and model modifications

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Numerical solution of differential equations describing the counter-current backmixing model of Fryer and Potter is very difficult due to the boundary value nature of the problem. Several numerical methods (shooting, superposition and finite difference) have been described and tested on a problem with a single first-order reaction in an isothermal fluid bed reactor. It was found that the finite difference method is the most stable method and provides accurate solution over the entire range of parameters that were investigated, while the shooting and the superposition methods could not produce accurate solutions for some parameter values. Also, some modifications of the Fryer and Potter model such as: compartment models and conversion to an initial value type of problem (Jayraman-Kulkarni-Doraiswamy model), have been described. Results obtained from compartment models are in close agreement with predictions obtained from the original Fryer and Potter model.

Original languageEnglish
Pages (from-to)13-34
Number of pages22
JournalSadhana
Volume10
Issue number1-2
DOIs
Publication statusPublished - Apr 1987
Externally publishedYes

Fingerprint

Fluids
Finite difference method
Numerical methods
Differential equations

Keywords

  • counter-current backmixing model
  • Fluid bed reactors
  • mathematical modelling

ASJC Scopus subject areas

  • Engineering(all)
  • Engineering (miscellaneous)

Cite this

The counter-current backmixing model for fluid bed reactors - computational aspects and model modifications. / Bukur, Dragomir B.

In: Sadhana, Vol. 10, No. 1-2, 04.1987, p. 13-34.

Research output: Contribution to journalArticle

@article{cf2934d33fcb4c36ba6870bbd74af62d,
title = "The counter-current backmixing model for fluid bed reactors - computational aspects and model modifications",
abstract = "Numerical solution of differential equations describing the counter-current backmixing model of Fryer and Potter is very difficult due to the boundary value nature of the problem. Several numerical methods (shooting, superposition and finite difference) have been described and tested on a problem with a single first-order reaction in an isothermal fluid bed reactor. It was found that the finite difference method is the most stable method and provides accurate solution over the entire range of parameters that were investigated, while the shooting and the superposition methods could not produce accurate solutions for some parameter values. Also, some modifications of the Fryer and Potter model such as: compartment models and conversion to an initial value type of problem (Jayraman-Kulkarni-Doraiswamy model), have been described. Results obtained from compartment models are in close agreement with predictions obtained from the original Fryer and Potter model.",
keywords = "counter-current backmixing model, Fluid bed reactors, mathematical modelling",
author = "Bukur, {Dragomir B.}",
year = "1987",
month = "4",
doi = "10.1007/BF02816195",
language = "English",
volume = "10",
pages = "13--34",
journal = "Sadhana - Academy Proceedings in Engineering Sciences",
issn = "0256-2499",
publisher = "Springer India",
number = "1-2",

}

TY - JOUR

T1 - The counter-current backmixing model for fluid bed reactors - computational aspects and model modifications

AU - Bukur, Dragomir B.

PY - 1987/4

Y1 - 1987/4

N2 - Numerical solution of differential equations describing the counter-current backmixing model of Fryer and Potter is very difficult due to the boundary value nature of the problem. Several numerical methods (shooting, superposition and finite difference) have been described and tested on a problem with a single first-order reaction in an isothermal fluid bed reactor. It was found that the finite difference method is the most stable method and provides accurate solution over the entire range of parameters that were investigated, while the shooting and the superposition methods could not produce accurate solutions for some parameter values. Also, some modifications of the Fryer and Potter model such as: compartment models and conversion to an initial value type of problem (Jayraman-Kulkarni-Doraiswamy model), have been described. Results obtained from compartment models are in close agreement with predictions obtained from the original Fryer and Potter model.

AB - Numerical solution of differential equations describing the counter-current backmixing model of Fryer and Potter is very difficult due to the boundary value nature of the problem. Several numerical methods (shooting, superposition and finite difference) have been described and tested on a problem with a single first-order reaction in an isothermal fluid bed reactor. It was found that the finite difference method is the most stable method and provides accurate solution over the entire range of parameters that were investigated, while the shooting and the superposition methods could not produce accurate solutions for some parameter values. Also, some modifications of the Fryer and Potter model such as: compartment models and conversion to an initial value type of problem (Jayraman-Kulkarni-Doraiswamy model), have been described. Results obtained from compartment models are in close agreement with predictions obtained from the original Fryer and Potter model.

KW - counter-current backmixing model

KW - Fluid bed reactors

KW - mathematical modelling

UR - http://www.scopus.com/inward/record.url?scp=0023099384&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023099384&partnerID=8YFLogxK

U2 - 10.1007/BF02816195

DO - 10.1007/BF02816195

M3 - Article

AN - SCOPUS:0023099384

VL - 10

SP - 13

EP - 34

JO - Sadhana - Academy Proceedings in Engineering Sciences

JF - Sadhana - Academy Proceedings in Engineering Sciences

SN - 0256-2499

IS - 1-2

ER -