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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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Study of steady pipe and channel flows of a single-mode Phan-Thien–Tanner fluid
TL;DR: In this article, the authors derived analytical solutions for the steady state channel and pipe flows of viscoelastic fluids obeying the complete single-mode Phan-Thien-Tanner (PTT) constitutive equation with a linear stress coefficient in the absence of a solvent viscosity contribution.
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Review Article: Rheological Properties of Living Materials. From Cells to Tissues
TL;DR: The role of the rheological properties at the cellular and macroscopic scale is reviewed, and comparisons with other similar systems are made in order to state what kind of r heological properties and what constitutive equations can be expected.
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Thermal convection in a viscoelastic liquid
TL;DR: In this paper, the onset of convection in a layer of viscoelastic liquid heated from below is investigated, and it is shown that the nature of the convective solution depends strongly on the particular constitutive relation used to characterize the viscousity.
Journal ArticleDOI
Simulations of 3D bioprinting: predicting bioprintability of nanofibrillar inks.
TL;DR: This paper demonstrates how experimental evaluation could be complemented with computer based simulations to evaluate newly developed bioinks, using a computational fluid dynamics simulation tool to study the influence of different printing parameters and evaluate the predictability of the printing process.
Journal ArticleDOI
Change of type and loss of evolution in the flow of viscoelastic fluids
TL;DR: In this paper, the authors discuss concepts associated with viscosity, elasticity, hyperbolicity, Hadamard instability and ill posedness of Cauchy problems in the flow of viscoelastic fluids.
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.
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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.