Finite-amplitude solitary states in viscoelastic shear flow: Computation and mechanism (Q2755604)

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scientific article; zbMATH DE number 1671481
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Finite-amplitude solitary states in viscoelastic shear flow: Computation and mechanism
scientific article; zbMATH DE number 1671481

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    22 August 2003
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    finite-amplitude solitary states
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    inertialess polymer solution
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    two concentric cylinders
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    viscoelastic shear flow
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    PENE-P equation
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    PENE-CR equation
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    circular Couette flow
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    scaling laws
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    discretization scheme
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    Finite-amplitude solitary states in viscoelastic shear flow: Computation and mechanism (English)
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    The flow of an inertialess polymer solution between two concentric cylinders is studied. The constitutive PENE-P equation and PENE-CR equation are used to search the isolated branches of stationary solutions in circular Couette flow. The geometry, governing nonlinear partial differential equations, and scaling laws are used in computations. The authors give a discretization scheme and present the results of computations for various parameters. The computed results are compared with experiments.
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