Some Aspects over Thixotropic Fluid Behavior

Deus, Hilbeth P. Azikri de; Dupim, Guilherme S.P.; Silva, Cláudio R. Ávila da

doi:10.4028/www.scientific.net/amr.629.623

Cited by 3 publications

(1 citation statement)

References 30 publications

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“…, relation associated to the micro À structural evolution, (2) where τ is the shear stress (from Cauchy stress measure), _ γ is the shear rate (infinitesimal strain measure), λ is the structural parameter (a positive scalar quantity associated to the structural level of substance) and G _ γ is a functional form. In large number of works [5,[18][19][20][21], Eq. (1) is represented by a linear viscoelastic model/mechanism (Maxwell, Jeffreys, Kelvin-Voigt, etc.)…”

Section: Introductionmentioning

confidence: 99%

On the Thermodynamic Consistency of a Two Micro-Structured Thixotropic Constitutive Model

Deus¹,

Itskov²

2018

Selected Problems of Contemporary Thermomechanics

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The time-dependent rheological behavior of the thixotropic fluids is presented in various industrial fields (cosmetics, food, oil, etc.). Usually, a couple of equations define constitutive model for thixotropic substances: a constitutive equation based on linear viscoelastic models and a rate equation (an equation related to the microstructural evolution of the substance). Many constitutive models do not take into account the micro-structural dependence of the shear modulus and viscosity in the dynamic principles from which are developed. The modified Jeffreys model (considering only one single micro-structure type) does not show this incoherence in its formulation. In this chapter, a constitutive model for thixotropic fluids, based on modified Jeffreys model, is presented with the addition of one more micro-structure type, besides of comments on some possible generalizations. The rheological coherence of this constitutive model and thermodynamic consistency are analyzed too. This model takes into account a simple isothermal laminar shear flows, and the micro-structures dynamics are relate to Brownian motion and de Gennes Reptation model via the Smoluchowski™s coagulation theory.

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Section: Introductionmentioning

confidence: 99%

On the Thermodynamic Consistency of a Two Micro-Structured Thixotropic Constitutive Model

Deus¹,

Itskov²

2018

Selected Problems of Contemporary Thermomechanics

View full text Add to dashboard Cite

show abstract

The modified Jeffreys model approach for elasto-viscoplastic thixotropic substances

2016

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A Numerical Approach on New Constitutive Model for Thixotropic Substances

Silva

Deus

Negrão

2015

AMM

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The thixotropic substances can be found in different industrial sectors, such as chemical, biomedical, manufacturing and oil. These substances show a rheological time-dependent behavior, dependent of their structural level. Generally, a constitutive model for the thixotropic substances is composed by a pair of coupled equations: the constitutive equation (based on viscoelastic models) and the rate equation (that describes the structural evolution). In many works presented in the specialized literature, the shear modulus and viscosity dependencies with the structural nature are not formally considered in the dynamical principles from that the constitutive equation is originated. In the present work, a new, thermodynamically consistent, constitutive model for thixotropic substances, where such dependences are considered, is presented and some rheological tests are analyzed in a numerical simulation point of view (code developed in MATLAB). The constitutive model is based on Jeffreys’ model and the coagulation theory of Smoluchowsky.

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Some Aspects over Thixotropic Fluid Behavior

Cited by 3 publications

References 30 publications

On the Thermodynamic Consistency of a Two Micro-Structured Thixotropic Constitutive Model

On the Thermodynamic Consistency of a Two Micro-Structured Thixotropic Constitutive Model

The modified Jeffreys model approach for elasto-viscoplastic thixotropic substances

A Numerical Approach on New Constitutive Model for Thixotropic Substances

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