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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Exact solution of the sptt model for fully developed channel flows
TL;DR: In this paper, an exact solution for fully developed channel flows of viscoelastic fluids described by the linearized form of the SPTT (Simplified-Phan-Thien-Tanner) constitutive equation is derived.
Journal ArticleDOI
Analysis of forced convection of Phan–Thien–Tanner fluid in slits and tubes of constant wall temperature with viscous dissipation
S. Z. Daghighi,Mahmood Norouzi +1 more
TL;DR: In this article, a continuous relation between the Nusselt number and the Brinkman number is obtained for thermal convection of the linear Phan-Thien-Tanner fluid (LPTT) in slits and tubes of constant wall temperature by taking account of viscous dissipation term.
Book ChapterDOI
Computer Modeling of Viscoelastic Flow
TL;DR: In this paper, it is shown that the behavior of all materials cannot be predicted by the classical Hookean elastic solids or Newtonian viscous liquids, i.e. phenomena that cannot be explained on the basis of nonlinear purely-viscous or purely-elastic behaviour, can be important in polymer processing applications.
Three-dimensional simulation of entrance region effect for viscoelastic flows in a rectangular duct
TL;DR: In this article, numerical 3D simulation of viscoelastic developing flow in a rectangular duct with the nonlinear constitutive equation was considered and the effects of the entrance region of flow and changes in important quantities of developing flow were neglected.
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.