Author:
AVAGLIANO AARON,PHAN-THIEN NHAN
Abstract
A rotational shear flow is examined in the bounded parallel-plate
geometry for a
four-constant Oldroyd-type fluid which has a constant viscosity, and constant
first
and second normal stress coefficients. A new type of Galerkin spectral
technique
is introduced to solve the resulting two-dimensional stiff boundary value
problem.
We show that even a small second normal stress difference can lead to a
significant
increase (nearly 100%) in the stability of the base torsional flow. Beyond
a critical
Deborah number the secondary flow, in the form of travelling waves, appears
to be
confined between two critical radii, in qualitative agreement with the
experimental
results of Byars et al. (1994). The mechanism behind this instability
is investigated
for dilute polymer solutions.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
5 articles.
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