Shear-wave speeds and elastic moduli for different liquids Part 3. Experiments-update

Riccius, O.; Joseph, Daniel D.; Arney, M. S.

doi:10.1007/bf01332689

Cited by 14 publications

(1 citation statement)

References 5 publications

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“…where λ 0 is the relaxation time. The relaxation time λ 0 = μ 0 /ρ f c 2 is taken from a wave-speed measurement where c is the shear wave speed (Joseph, Riccius & Arney 1986;Riccius, Joseph & Arney 1987). For particle-wall collision in a viscoelastic fluid, the important parameters are the Stokes and Deborah numbers based on impact velocity rather than particle terminal velocity.…”

Section: Introductionmentioning

confidence: 99%

Particle-wall collision in a viscoelastic fluid

et al. 2009

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In this study, we present experimental results on particle-wall collision in viscoelastic fluids. A sphere is released in a tank filled with poly(ethylene-oxide) (PEO) mixed with water with varying concentrations up to 1.5 %. The effect of Stokes and Deborah numbers on the rebound velocity of a spherical particle colliding onto a wall is considered. It has been observed that the slope at which the coefficient of restitution increases with Stokes number is smaller for higher Deborah numbers. Higher rebound occurs for higher PEO concentration at the same stokes number. However, the results for the coefficient of restitution in polymeric liquids can be collapsed together with the Newtonian fluid behaviour if one defines the Stokes number based on the local strain rate.

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Section: Introductionmentioning

confidence: 99%

Particle-wall collision in a viscoelastic fluid

et al. 2009

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Hyperbolicity, Change of Type, Wave Speeds and Related Matters

Joseph

1988

The IMA Volumes in Mathematics and Its Applications

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Relaxation thermodynamics and viscoelasticity of anisotropic polymer systems

Volkov

2005

J Eng Phys Thermophys

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A theory of asymmetric viscoelasticity of anisotropic polymer systems has been formulated based on the relaxation dynamics of irreversible processes. Consideration has been given to the effect associated with the relaxation of couple stresses.Introduction. Much attention has been given recently to studying the viscoelasticity of different anisotropic polymer systems. This is primarily true of polymer liquid crystals (LCs), cross-linked LC elastomers, polymer nanocomposites, and polymer suspensions. Their most significant difference from traditional polymer materials is the presence of relaxation anisotropy. The viscoelastic characteristics of anisotropic polymer media are tensor quantities. Therefore, unlike isotropic systems, they are determined by a substantially larger number of basic macroscopic parameters. Experimental determination of the tensor rheological properties of anisotropic polymer systems represents the most complicated problem. This field of rheology, on the whole, is only in the initial stage of development.There can be two theoretical approaches to the rheology of anisotropic polymer systems. The first approach is based on molecular dynamics. It enables one to study the physical nature of anisotropic viscoelastic effects. The second, phenomenological, approach is restricted to studying only the macroscopic properties of these fairly complex polymer media. One is able, within the framework of this approach, to allow for the influence of the motion and strain of the microstructure of a medium on its rheological properties by introducing structural variables. The prime objective of continuum theories is the establishment of general constitutive equations under the minimum assumptions of the molecular structure of anisotropic media. Molecular theories are based on quite specific assumptions of the structure of these media and operate, unlike continuum theories, with a few molecular parameters.The greatest progress toward description of the dynamics of low-molecular-weight LCs has been made at present using continuum theories [1][2][3][4][5]. An analogous situation is also observed in the theory of viscoelasticity of polymer LCs. The continuum theory of anisotropic viscoelasticity of LC polymers has been initiated by the investigations in [6][7][8][9][10][11]. A quasilinear rheological equation of state with anisotropic relaxation time and viscosity was formulated in them for simple reasons of symmetry. In this approach, an important role is played by the molecular flexibility of LC polymers and its associated elastic strains accompanying their flow. The anisotropic nonlinear viscoelasticity of polymer systems with different degrees of rigidity has begun to be studied in [12][13][14][15][16] within the framework of the classical thermodynamics of irreversible processes. This approach is based on the introduction of internal (latent) variables for description of viscoelastic effects. Here, critical is the fact that the physics of such continua can be described in general form by neither mechanics nor...

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Shear-wave speeds and elastic moduli for different liquids Part 3. Experiments-update

Cited by 14 publications

References 5 publications

Particle-wall collision in a viscoelastic fluid

Particle-wall collision in a viscoelastic fluid

Hyperbolicity, Change of Type, Wave Speeds and Related Matters

Relaxation thermodynamics and viscoelasticity of anisotropic polymer systems

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