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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Journal ArticleDOI
Numerical study of Phan-Thien–Tanner viscoelastic fluid flow around a two-dimensional circular cylinder at a low Reynolds number: a new classification for drag variations regimes
TL;DR: In this article, a low Reynolds two-dimensional flow of a viscoelastic fluid over a circular cylinder using the finite volume method was numerically investigated, and the results showed that the drag reduction for the elasticity number El ǫ 0.025 was achieved by the polymeric portion of stress in the high elastic flow regime.
Journal ArticleDOI
Computational analysis of hydrodynamics of shear-thinning viscoelastic fluids in a square lid-driven cavity flow
Kerim Yapici,Yusuf Uludag +1 more
TL;DR: In this paper, the results for steady laminar flow of three different shear thinning fluids in a lid-driven square cavity are presented, where the viscoelastic nature of the fluids is represented by linear and exponential Phan-Thien Tanner and Giesekus constitutive models.
Book ChapterDOI
Recent Advances in Complex Fluids Modeling
Book ChapterDOI
Constitutive models of polymer fluids: Towards a unified approach
TL;DR: In this paper, a structural theory organized in the way outlined above could become very complicated if all possibilities were exhausted, but this approach does enable the importance of various features to be estimated, and it is possible to decide which terms should be included or omitted in the respective model of a polymer fluid to make it manageable without loosing any essential features.
Journal ArticleDOI
Further results for the entry flow of fluid S1
TL;DR: In this paper, an integral constitutive equation of the K-BKZ type with a spectrum of relaxation times was used to model the entry flow of a well-characterized polymer solution in a 24:1 axisymmetric contraction.
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.