Note on the Stability of an Elasticoviscous Liquid in Couette Flow

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Abstract
The stability of a non‐Newtonian inelastic viscous liquid moving between two rotating coaxial circular cylinders was considered by Graebel. Recently Thomas and Walters have considered the same problem for an elasticoviscous liquid with memory, which they call liquid of the type B′. In this note this problem is considered for an incompressible second‐order liquid. For the particular case when the outer cylinder is at rest a particularly simple solution is given which brings out the dependence of the critical Taylor number on the viscoelastic parameter quite distinctly. It is also shown that for particular values of the viscoelastic parameters one obtains the equations considered by Graebel and Thomas and Walters.
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