### Abstract

A finite element model is developed for the numerical simulation of a deep-well wet-oxidation reactor. The temperature distribution in the well-earth system is investigated. The governing equations involved in the analysis are the conductive heat equation for the earth, and an energy balance equation describing convective heat transfer and reaction in the reactor tubes. The two equation sets are coupled by the continuity of the temperature and heat flux at the interface between the earth and the reactor tubes. Proper scaling is carried out for the di-mensionless forms of these equations. A Galerkin finite element formulation is used for the spatial discretization of the heat equation in the earth. A Petrov-Gal-erkin finite element formulation is employed for the convection-reaction equation in the reactor tubes. The resultant set of ordinary differential equations is solved by a predictor/multi-corrector algorithm. A numerical test is performed for a model deep-well reactor. Compared to our previously published work, this formulation is more accurate and consumes less CPU time. It can be used in the design of a deep-well reactor for oxidation of aqueous sludge. It can also be employed to test control strategies for the operating reactor system.

Original language | English |
---|---|

Pages (from-to) | 1780-1797 |

Number of pages | 18 |

Journal | Journal of Engineering Mechanics |

Volume | 116 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1990 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering
- Mechanics of Materials

### Cite this

*Journal of Engineering Mechanics*,

*116*(8), 1780-1797. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:8(1780)

**Finite element simulation of deep-well wet-oxidation reactor.** / Liou, J.; Deans, H. A.; Tezduyar, Tayfun E.

Research output: Contribution to journal › Article

*Journal of Engineering Mechanics*, vol. 116, no. 8, pp. 1780-1797. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:8(1780)

}

TY - JOUR

T1 - Finite element simulation of deep-well wet-oxidation reactor

AU - Liou, J.

AU - Deans, H. A.

AU - Tezduyar, Tayfun E.

PY - 1990

Y1 - 1990

N2 - A finite element model is developed for the numerical simulation of a deep-well wet-oxidation reactor. The temperature distribution in the well-earth system is investigated. The governing equations involved in the analysis are the conductive heat equation for the earth, and an energy balance equation describing convective heat transfer and reaction in the reactor tubes. The two equation sets are coupled by the continuity of the temperature and heat flux at the interface between the earth and the reactor tubes. Proper scaling is carried out for the di-mensionless forms of these equations. A Galerkin finite element formulation is used for the spatial discretization of the heat equation in the earth. A Petrov-Gal-erkin finite element formulation is employed for the convection-reaction equation in the reactor tubes. The resultant set of ordinary differential equations is solved by a predictor/multi-corrector algorithm. A numerical test is performed for a model deep-well reactor. Compared to our previously published work, this formulation is more accurate and consumes less CPU time. It can be used in the design of a deep-well reactor for oxidation of aqueous sludge. It can also be employed to test control strategies for the operating reactor system.

AB - A finite element model is developed for the numerical simulation of a deep-well wet-oxidation reactor. The temperature distribution in the well-earth system is investigated. The governing equations involved in the analysis are the conductive heat equation for the earth, and an energy balance equation describing convective heat transfer and reaction in the reactor tubes. The two equation sets are coupled by the continuity of the temperature and heat flux at the interface between the earth and the reactor tubes. Proper scaling is carried out for the di-mensionless forms of these equations. A Galerkin finite element formulation is used for the spatial discretization of the heat equation in the earth. A Petrov-Gal-erkin finite element formulation is employed for the convection-reaction equation in the reactor tubes. The resultant set of ordinary differential equations is solved by a predictor/multi-corrector algorithm. A numerical test is performed for a model deep-well reactor. Compared to our previously published work, this formulation is more accurate and consumes less CPU time. It can be used in the design of a deep-well reactor for oxidation of aqueous sludge. It can also be employed to test control strategies for the operating reactor system.

UR - http://www.scopus.com/inward/record.url?scp=0025467932&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025467932&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)0733-9399(1990)116:8(1780)

DO - 10.1061/(ASCE)0733-9399(1990)116:8(1780)

M3 - Article

AN - SCOPUS:0025467932

VL - 116

SP - 1780

EP - 1797

JO - Journal of Engineering Mechanics - ASCE

JF - Journal of Engineering Mechanics - ASCE

SN - 0733-9399

IS - 8

ER -