Three-dimensional transient heat transfer from a buried pipe-Part III. Comprehensive model

Mehmet Alaittin Hastaoglu; Antoine Negiz; Robert A. Heidemann

doi:10.1016/0009-2509(95)00111-H

Three-dimensional transient heat transfer from a buried pipe-Part III. Comprehensive model

Mehmet Alaittin Hastaoglu
, Antoine Negiz
, Robert A. Heidemann^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The transient heat transfer problem of solidification of a liquid flowing in a buried pipe is analyzed. The system is cooled from a horizontal flat top surface. The model described in the preceding two manuscripts in this series has been extended to the case when a fluid in laminar flow inside a buried pipe freezes. The cross section for flow, which changes with axial position and time, has been approximated as an ellipse. The velocity profile, which is required in the partial differential equation for the temperature inside the flowing fluid, is determined from the dimensions of the ellipse. Numerical procedures are presented for tracking the moving interface between the solid and the fluid in laminar flow. Simulation examples demonstrate the impact of the Reynolds number on the times to freezing, the temperature profiles and the thickness of the ice layers formed. The effects of pipe burial depth and of other parameters in the model are also examined.

Original language	English
Pages (from-to)	2545-2555
Number of pages	11
Journal	Chemical Engineering Science
Volume	50
Issue number	16
DOIs	https://doi.org/10.1016/0009-2509(95)00111-H
State	Published - Aug 1995

Bibliographical note

Funding Information:
Acknowledaments--This work was supported by the Natural Sciences and Engineering Research Council of Canada. The authors wish to thank Dr. D.S. Phillips of the High Performance Computing Services at the University of Calgary for his extensivec ollaboration and help in using the CDC Cyber 205 Supercomputer. M.A. Hastaoglu also acknowledges King Fahd University of Petroleum and Minerals.

ASJC Scopus subject areas

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

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10.1016/0009-2509(95)00111-H

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@article{eeffa3d1e73e4204862a1a9abe970f43,

title = "Three-dimensional transient heat transfer from a buried pipe-Part III. Comprehensive model",

abstract = "The transient heat transfer problem of solidification of a liquid flowing in a buried pipe is analyzed. The system is cooled from a horizontal flat top surface. The model described in the preceding two manuscripts in this series has been extended to the case when a fluid in laminar flow inside a buried pipe freezes. The cross section for flow, which changes with axial position and time, has been approximated as an ellipse. The velocity profile, which is required in the partial differential equation for the temperature inside the flowing fluid, is determined from the dimensions of the ellipse. Numerical procedures are presented for tracking the moving interface between the solid and the fluid in laminar flow. Simulation examples demonstrate the impact of the Reynolds number on the times to freezing, the temperature profiles and the thickness of the ice layers formed. The effects of pipe burial depth and of other parameters in the model are also examined.",

author = "Hastaoglu, \{Mehmet Alaittin\} and Antoine Negiz and Heidemann, \{Robert A.\}",

note = "Funding Information: Acknowledaments--This work was supported by the Natural Sciences and Engineering Research Council of Canada. The authors wish to thank Dr. D.S. Phillips of the High Performance Computing Services at the University of Calgary for his extensivec ollaboration and help in using the CDC Cyber 205 Supercomputer. M.A. Hastaoglu also acknowledges King Fahd University of Petroleum and Minerals.",

year = "1995",

month = aug,

doi = "10.1016/0009-2509(95)00111-H",

language = "English",

volume = "50",

pages = "2545--2555",

journal = "Chemical Engineering Science",

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T1 - Three-dimensional transient heat transfer from a buried pipe-Part III. Comprehensive model

AU - Hastaoglu, Mehmet Alaittin

AU - Negiz, Antoine

AU - Heidemann, Robert A.

N1 - Funding Information: Acknowledaments--This work was supported by the Natural Sciences and Engineering Research Council of Canada. The authors wish to thank Dr. D.S. Phillips of the High Performance Computing Services at the University of Calgary for his extensivec ollaboration and help in using the CDC Cyber 205 Supercomputer. M.A. Hastaoglu also acknowledges King Fahd University of Petroleum and Minerals.

PY - 1995/8

Y1 - 1995/8

N2 - The transient heat transfer problem of solidification of a liquid flowing in a buried pipe is analyzed. The system is cooled from a horizontal flat top surface. The model described in the preceding two manuscripts in this series has been extended to the case when a fluid in laminar flow inside a buried pipe freezes. The cross section for flow, which changes with axial position and time, has been approximated as an ellipse. The velocity profile, which is required in the partial differential equation for the temperature inside the flowing fluid, is determined from the dimensions of the ellipse. Numerical procedures are presented for tracking the moving interface between the solid and the fluid in laminar flow. Simulation examples demonstrate the impact of the Reynolds number on the times to freezing, the temperature profiles and the thickness of the ice layers formed. The effects of pipe burial depth and of other parameters in the model are also examined.

AB - The transient heat transfer problem of solidification of a liquid flowing in a buried pipe is analyzed. The system is cooled from a horizontal flat top surface. The model described in the preceding two manuscripts in this series has been extended to the case when a fluid in laminar flow inside a buried pipe freezes. The cross section for flow, which changes with axial position and time, has been approximated as an ellipse. The velocity profile, which is required in the partial differential equation for the temperature inside the flowing fluid, is determined from the dimensions of the ellipse. Numerical procedures are presented for tracking the moving interface between the solid and the fluid in laminar flow. Simulation examples demonstrate the impact of the Reynolds number on the times to freezing, the temperature profiles and the thickness of the ice layers formed. The effects of pipe burial depth and of other parameters in the model are also examined.

UR - https://www.scopus.com/pages/publications/0029347318

U2 - 10.1016/0009-2509(95)00111-H

DO - 10.1016/0009-2509(95)00111-H

M3 - Article

AN - SCOPUS:0029347318

SN - 0009-2509

VL - 50

SP - 2545

EP - 2555

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 16

ER -

Three-dimensional transient heat transfer from a buried pipe-Part III. Comprehensive model

Abstract

Bibliographical note

ASJC Scopus subject areas

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