Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature

Mark Dostalík, Vít Průša and Judith Stein

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 189, issue C, 5-20

Abstract: We investigate finite amplitude stability of spatially inhomogeneous steady state of an incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls kept at spatially non-uniform temperature. For a wide class of incompressible viscoelastic models including the Oldroyd-B model, the Giesekus model, the FENE-P model, the Johnson–Segalman model, and the Phan–Thien–Tanner model we prove that the steady state is stable subject to any finite perturbation.

Keywords: Finite amplitude stability; Thermodynamically open system; Non-equilibrium steady state; Heat conducting fluid; Viscoelastic fluid (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:189:y:2021:i:c:p:5-20

DOI: 10.1016/j.matcom.2020.05.009

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