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Navier–Stokes solutions of laminar flows based on orthogonal helical co‐ordinates
Author(s) -
Hüttl T.J.,
Wagner C.,
Friedrich R.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990415)29:7<749::aid-fld815>3.0.co;2-4
Subject(s) - laminar flow , curvature , torsion (gastropod) , reynolds number , geometry , mathematics , compressibility , incompressible flow , mathematical analysis , pipe flow , tangent , mechanics , physics , flow (mathematics) , turbulence , medicine , surgery
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.