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
Optimised multi-stream microfluidic designs for controlled extensional deformation
TL;DR: In this article, two types of multi-stream configurations (a T-junction and a flow-focusing design) are optimized to generate a homogeneous extensional flow within a well-defined region.
Journal ArticleDOI
Steady viscoelastic film flow over 2D Topography: II. The effect of capillarity, inertia and substrate geometry
TL;DR: In this article, the authors examine the steady flow of a viscoelastic film under the action of gravity over a substrate with periodic topographical features, using the exponential Phan-Thien and Tanner constitutive model.
Journal ArticleDOI
Modelling the biaxial elongational deformation of soft solids
TL;DR: In this article, the results of modelling the biaxial extension of soft solids in lubricated squeezing flow geometry were reported, and it was found that homogeneous uniaxia compression can be achieved in lubrication flow.
Book ChapterDOI
Numerical simulation of viscoelastic contraction flows
TL;DR: In this paper, numerical results obtained with a finite volume method for the creeping flow of viscoelastic fluids in both axisynmietric and planar 4:1 contractions are presented over a wide range of the Deborah number.
Journal ArticleDOI
Modelling human hip joint lubrication subject to walking cycle
TL;DR: In this article, the Phan-Thien and Tanner (PTT) model is applied in spherical coordinates to a thin confined fluid film to simulate a hip joint subject to a walking cycle.
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.