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Constitutive equations for viscoelastic fluids for short deformation periods and for rapidly changing flows: Significance of the deborah number
Author(s) -
Metzner A. B.,
White J. L.,
Denn M. M.
Publication year - 1966
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690120507
Subject(s) - deborah number , viscoelasticity , constitutive equation , deformation (meteorology) , flow (mathematics) , simple (philosophy) , mathematics , calculus (dental) , mechanics , classical mechanics , physics , thermodynamics , geometry , philosophy , epistemology , medicine , dentistry , finite element method , meteorology
The proper forms and asymptotic characteristics of constitutive equations which may be useful for the description of viscoelastic fluids in flow fields of engineering interest are considered. It is seen that the Deborah number emerges as a natural ordering parameter which determines, on the one hand, whether simple approximations explicit in stress may suffice to describe the fluid properties or, on the other hand, whether implicit or integral equations are required. Methods of scale‐up are discussed.