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On hydrodynamics of viscoelastic fluids
Communications on Pure and Applied Mathematics, 2005AbstractIn 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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Theory of viscoelasticity of fluids
The Journal of Chemical Physics, 1985By 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
2011We 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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Incompressible Viscoelastic Fluids
1994In Part I, we discussed in detail the foundations of the bracket description of dynamical behavior, demonstrating how the generalized bracket is linked to the theories of both Hamiltonian mechanics and irreversible thermodynamics. Now it is time to discuss the various applications towards seemingly complex systems which are the main focus of this book.
Antony N. Beris, Brian J. Edwards
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Polymerizable viscoelastic fluids
Journal of Polymer Science Part A: Polymer Chemistry, 1990AbstractRheological, elongational flow, and scanning electron microscopy measurements have been performed on cationic monomers associated with specific counterions. The monomers are formed through the reaction of allyl bromide and a variety of dimethylalkylamine derivatives.
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Convection in Viscoelastic Fluids
1988Nonequilibrium 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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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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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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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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Electroosmosis of Viscoelastic Fluids: Role of Wall Depletion Layer.
Langmuir, 2017S. Mukherjee +4 more
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