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Fully developed flow in a curved pipe of arbitrary curvature ratio
Author(s) -
Soh W. Y.,
Berger S. A.
Publication year - 1987
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/fld.1650070705
Subject(s) - curvature , mathematics , flow (mathematics) , compressibility , incompressible flow , coupling (piping) , variable (mathematics) , pipe flow , grid , geometry , mathematical analysis , mechanics , physics , engineering , mechanical engineering , turbulence
It is generally assumed in curved pipe flow analyses that the curvature ratio, δ, of the pipe is very small, in which case the flow depends on a single parameter, the Dean number. This is not the case if δ is not very small. To determine the importance of this effect we have numerically solved the full Navier‐Stokes equations, in primitive variable form, for arbitrary values of δ. A factored ADI finite‐difference scheme has been used, employing Chorin's artificial compressibility technique. The results show that the central‐difference calculation on a staggered grid is stable, without adding artificial damping terms, due to coupling between pressure and velocity. A spatially variable time step is used with a fixed Courant number.