Journal ArticleDOI
A new constitutive equation derived from network theory
Nhan Phan Thien,Roger I. Tanner +1 more
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In this paper, a constitutive equation is derived from a Lodge-Yamamoto type of network theory for polymeric fluids, where the network junctions are not assumed to move strictly as points of the continuum but allowed a certain "effective slip".Abstract:
A constitutive equation is derived from a Lodge—Yamamoto type of network theory for polymeric fluids. The network junctions are not assumed to move strictly as points of the continuum but allowed a certain “effective slip”. The rates of creation and destruction of junctions are assumed to depend on the instantaneous elastic energy of the network, or equivalently, the average extension of the network strand, in a simple manner. Agreement between model predictions and the I.U.P.A.C. data on L.D.P.E. is good.read more
Citations
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Numerical predictions of viscoelastic flows with an algebraic extra-stress model
TL;DR: Faculdade de Ciencias e Tecnologia (FCT), UNESP - Univ Estadual Paulista, Campus de Presidente Prudente, Rua Roberto Simonsen 305.
Proceedings ArticleDOI
Rheological model of viscoelastic surfactants under quasistatic and dynamic influences
Pipe flow of multimode ptt fluids
TL;DR: In this article, a semi analytical procedure for the calculation for fully developed pipe flow of a multimode formulation based on the Simplified Phan Thien-Tanner rheology is presented.
Journal ArticleDOI
球・バネマクロモデルによる粘弾性流体の直接数値シミュレーション : モデル化と解析方法
TL;DR: In this article, a bead-spring macromodel was proposed for direct numerical simulation of viscoelastic fluid flow, which has a tetrahedral structure, models a gathering of interwined polymer chain, and is used to investigate the interference between fluid and particles.
References
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Journal ArticleDOI
The Visco-elastic Properties of Network Structure I. General Formalism
TL;DR: In this article, the authors derived the stress-strain-time (S − S − T )relation at each instance of macroscopic observations by using the statistical mechanical considerations of equilibrium states.
Journal ArticleDOI
Constitutive equations from molecular network theories for polymer solutions
TL;DR: In this article, constitutive equations based on the network models of Yamamoto, Lodge, and Kaye are re-derived in a common notation involving the use of base vectors embedded in the deforming macroscopic continuum.
Journal ArticleDOI
Anisotropic Fluid Theory: A Different Approach to the Dumbbell Theory of Dilute Polymer Solutions
R. J. Gordon,W. R. Schowalter +1 more
TL;DR: In this paper, the authors used the continuum theory of anisotropic fluids, as developed by Ericksen and others, to formulate an expression for the time derivative of the end-to-end vector of a linear macromolecule when used in conjunction with the equation describing the distribution function for a dilute solution of dumbbell elements.