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A model viscoelastic fluid

Polymer Engineering & Science, 1978
Abstract Shear stress and first normal stress difference data are presented for materials which exhibit a constant viscosity and yet at the same time exhibit elasticity levels of the same order as polymer melts. Flow pattern observations in circular die entry flows in conjunction with independent shear and normal stress measurement ...
David V. Boger, Hang Nguyen
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Swelling of viscoelastic matrices by viscoelastic fluids

2018
A typical example of viscoelastic matrices is represented by polymeric particles devoted to the controlled release of active agents (drugs) that swell when put in contact with an external solvent, typically a physiological medium. Although, in general, physiological fluids can be considered Newtonian, this is not always the case, let us consider, for ...
G. Chiarappa   +6 more
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A Multigrid Method for Viscoelastic Fluid Flow

SIAM Journal on Numerical Analysis, 2004
Summary: We study a multigrid finite element method for a viscoelastic fluid flow obeying an Oldroyd-B-type constitutive law. The multigrid method is a time-saving method in which the full nonlinear system is solved on a coarse grid, and subsequent approximations are generated on a succession of refined grids by solving a linearized problem.
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On hydrodynamics of viscoelastic fluids

Communications on Pure and Applied Mathematics, 2005
AbstractIn this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an
Lin, Fang-Hua, Liu, Chun, Zhang, Ping
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Convection in Viscoelastic Fluids

1988
Nonequilibrium systems like Rayleigh-Benard convection in external temperature gradient or Taylor instability between rotating cylinders, have been much studied, theoretically and experimentally in recent years. Of particular interest are systems like Rayleigh-Benard convection in binary mixtures [1–5], or Taylor instability in counterrotating ...
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Theory of viscoelasticity of fluids

The Journal of Chemical Physics, 1985
By analytically continuing the stress tensor evolution equation used in our previous studies of static phenomena in fluids and solving the equation, we have derived some analytic formulas for dynamic viscosities as functions of the amplitude and frequency of oscillating shear rate.
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Viscoelastic Solids and Fluids

2011
We now consider special cases of the constitutive relations (6.1.15), namely linear viscoelastic solids and fluids with linear memory under isothermal conditions in the present chapter and an approximate version of rigid heat conductors in Chapter 8. Some of the formulas are similar to those derived in the general case, and detailed proofs are omitted ...
Giovambattista Amendola   +2 more
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Linearly Viscoelastic Fluids

2013
If the stresses in a fluid depend both on strains and on strain rates, the fluid is characterized as viscoelastic. In general the stresses in a viscoelastic fluid depend on the deformation: history the fluid has been subjected to. All real fluids are really viscoelastic because the pressure p is always a function of the volumetric strain.
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Viscoelastic fluids

Physics Education, 1974
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