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• W2023677958 startingPage "1749" @default.
• W2023677958 abstract "We show that for shear flow of an upper convected Maxwell fluid with small but nonzero slip velocity, an increasing dependence of the slip velocity on the elastic normal stress in the flow direction leads to short wavelength flow instability at sufficiently high Weissenberg number (≳10). Pressure-dependent slip can also lead to instability, but only at unrealistically large Weissenberg number. If the slip velocity depends only on shear stress, then the flow is always stable. These analytical results are valid in a specific asymptotic limit, but are independent of the specific form of the model for slip. Numerical results for specific, phenomenological slip models and the Phan-Thien–Tanner bulk constitutive model show that the results are robust in the presence of nonlinear viscoelasticity. The scaling of the critical shear stress for instability with modulus and molecular weight and of the distortion period with polymer relaxation time are qualitatively consistent with experimental observations of the sharkskin instability in linear polyethylenes. The results may also have some relationship to the recent experimental observation of short wavelength instability in plane Couette flow of an entangled solution with wall slip." @default.
• W2023677958 created "2016-06-24" @default.
• W2023677958 creator A5019395578 @default.
• W2023677958 creator A5023202198 @default.
• W2023677958 date "1999-07-01" @default.
• W2023677958 modified "2023-10-16" @default.
• W2023677958 title "Effect of wall slip on the stability of viscoelastic plane shear flow" @default.
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• W2023677958 doi "https://doi.org/10.1063/1.870040" @default.
• W2023677958 hasPublicationYear "1999" @default.
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