Navier-Stokes solutions of laminar flows based on orthogonal helical co-ordinates
In this paper a numerical method to compute time‐dependent flows in helically coiled pipes with circular cross‐section and constant curvature κ and torsion τ is presented. The incompressible Navier–Stokes equations, explicitly derived in an orthogonal helical co‐ordinate system, are integrated numer...
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Published in | International journal for numerical methods in fluids Vol. 29; no. 7; pp. 749 - 763 |
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Main Authors | , , |
Format | Journal Article Conference Proceeding |
Language | English |
Published |
Chichester, UK
John Wiley & Sons, Ltd
15.04.1999
Wiley |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper a numerical method to compute time‐dependent flows in helically coiled pipes with circular cross‐section and constant curvature κ and torsion τ is presented. The incompressible Navier–Stokes equations, explicitly derived in an orthogonal helical co‐ordinate system, are integrated numerically. The results show for example, the influence of curvature and torsion on the axial velocity profile. Good agreement with experiment is found. The numerical simulations also allow a detailed study of the secondary motion in the cross‐section of the pipe by considering vector plots and contour lines of the streamfunction. Furthermore, the formation of a pressure distribution perpendicular to the pipe axis is shown. Besides the Reynolds number, other characteristic flow parameters, like the Dean numer De, and the Germano number Gn, are used to compare the flow through different pipe configurations. Copyright © 1999 John Wiley & Sons, Ltd. |
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Bibliography: | ArticleID:FLD815 istex:674D5223E2A53DB0E139C7683DC03A2B1E41CD31 ark:/67375/WNG-05HHPL4D-L ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 SourceType-Scholarly Journals-2 ObjectType-Feature-2 ObjectType-Conference Paper-1 SourceType-Conference Papers & Proceedings-1 ObjectType-Article-3 ObjectType-Conference-3 |
ISSN: | 0271-2091 1097-0363 |
DOI: | 10.1002/(SICI)1097-0363(19990415)29:7<749::AID-FLD815>3.0.CO;2-4 |