The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian
Abstract
Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor τ and its Newtonian deformation tensor D(u) decay at the same rate, while the elastic part =τ-2ω D(u) decays faster. As a consequence, the stress tensor of a viscoelastic fluid exhibits an almost Newtonian behaviour for large times.
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