### Abstract

Turbulent heat transfer in a vertical parallel-plate channel heated both symmetrically and asymetrically is studied using an implicit finite-difference method. The problem is formulated by applying the conservation laws with the turbulent motion being described by a low-Reynolds-number k-D model. A variable-grid pattern is employed in the numerical computation along with the use of a combined inner and outer iteration procedure. The inner iteration treats the problem of velocity-pressure coupling utilizing a predictor-corrector approach weighted by an under-relaxation factor, whereas the outer iteration minimizes the error associated with the lagging technique. Numerical calculations have been performed over wide ranges of Grashof and Graetz numbers covering both the developing and fully developed flow regions. Based upon the numerical solutions, correlations are developed for the induced flow rate and the local Nusselt numbers in different flow regions. The correlations obtained in this study can be conveniently used to predict the maximum wall temperature and the induced flow rate in both performance and design calculations of a reactor-vessel air cooling system.

Original language | English (US) |
---|---|

Title of host publication | AIChE Symposium Series |

Publisher | Publ by AIChE |

Pages | 336-341 |

Number of pages | 6 |

Edition | 283 |

ISBN (Print) | 0816905487 |

State | Published - Dec 1 1991 |

Event | 27th National Heat Transfer Conference - Minneapolis, MN, USA Duration: Jul 28 1991 → Jul 31 1991 |

### Publication series

Name | AIChE Symposium Series |
---|---|

Number | 283 |

Volume | 87 |

ISSN (Print) | 0065-8812 |

### Other

Other | 27th National Heat Transfer Conference |
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City | Minneapolis, MN, USA |

Period | 7/28/91 → 7/31/91 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Chemistry(all)
- Chemical Engineering(all)

### Cite this

*AIChE Symposium Series*(283 ed., pp. 336-341). (AIChE Symposium Series; Vol. 87, No. 283). Publ by AIChE.

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*AIChE Symposium Series.*283 edn, AIChE Symposium Series, no. 283, vol. 87, Publ by AIChE, pp. 336-341, 27th National Heat Transfer Conference, Minneapolis, MN, USA, 7/28/91.

**Turbulent heat transfer in the developing and fully developed regions of a vertical channel.** / Sohn, D. Y.; Cheung, F. B.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Turbulent heat transfer in the developing and fully developed regions of a vertical channel

AU - Sohn, D. Y.

AU - Cheung, F. B.

PY - 1991/12/1

Y1 - 1991/12/1

N2 - Turbulent heat transfer in a vertical parallel-plate channel heated both symmetrically and asymetrically is studied using an implicit finite-difference method. The problem is formulated by applying the conservation laws with the turbulent motion being described by a low-Reynolds-number k-D model. A variable-grid pattern is employed in the numerical computation along with the use of a combined inner and outer iteration procedure. The inner iteration treats the problem of velocity-pressure coupling utilizing a predictor-corrector approach weighted by an under-relaxation factor, whereas the outer iteration minimizes the error associated with the lagging technique. Numerical calculations have been performed over wide ranges of Grashof and Graetz numbers covering both the developing and fully developed flow regions. Based upon the numerical solutions, correlations are developed for the induced flow rate and the local Nusselt numbers in different flow regions. The correlations obtained in this study can be conveniently used to predict the maximum wall temperature and the induced flow rate in both performance and design calculations of a reactor-vessel air cooling system.

AB - Turbulent heat transfer in a vertical parallel-plate channel heated both symmetrically and asymetrically is studied using an implicit finite-difference method. The problem is formulated by applying the conservation laws with the turbulent motion being described by a low-Reynolds-number k-D model. A variable-grid pattern is employed in the numerical computation along with the use of a combined inner and outer iteration procedure. The inner iteration treats the problem of velocity-pressure coupling utilizing a predictor-corrector approach weighted by an under-relaxation factor, whereas the outer iteration minimizes the error associated with the lagging technique. Numerical calculations have been performed over wide ranges of Grashof and Graetz numbers covering both the developing and fully developed flow regions. Based upon the numerical solutions, correlations are developed for the induced flow rate and the local Nusselt numbers in different flow regions. The correlations obtained in this study can be conveniently used to predict the maximum wall temperature and the induced flow rate in both performance and design calculations of a reactor-vessel air cooling system.

UR - http://www.scopus.com/inward/record.url?scp=0026406455&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026406455&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026406455

SN - 0816905487

T3 - AIChE Symposium Series

SP - 336

EP - 341

BT - AIChE Symposium Series

PB - Publ by AIChE

ER -