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Three‐dimensional viscous flow over rotating periodic structures
Author(s) -
Kim KyuTae,
Khayat Roger E.,
Pollet Anthony
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.690
Subject(s) - flow (mathematics) , mechanics , mixing (physics) , vector field , barrel (horology) , shear stress , hele shaw flow , stokes flow , field (mathematics) , lubrication , shear flow , mathematics , classical mechanics , physics , engineering , mechanical engineering , open channel flow , thermodynamics , quantum mechanics , pure mathematics
The three‐dimensional Stokes flow in a periodic domain is examined in this study. The problem corresponds closely to the flow inside internal mixers, where the flow is driven by the movement of a rotating screw; the outer barrel remaining at rest. A hybrid spectral/finite‐difference approach is proposed for the general expansion of the flow field and the solution of the expansion coefficients. The method is used to determine the flow field between the screw and barrel. The regions of elongation and shear are closely examined. These are the two mechanisms responsible for mixing. Besides its practical importance, the study also allows the assessment of the validity of the various assumptions usually adopted in mixing and lubrication problems. Copyright © 2003 John Wiley & Sons, Ltd.