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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Book ChapterDOI
Heat Transfer of MHD Channel Flow of Viscoelastic (PTT) Fluid
B. K. Swain,M. Das,G. C. Dash +2 more
TL;DR: In this article, the heat transfer aspect of MHD channel flow of Phan-Thien-Tanner (PTT) conducting flow accounting for viscous dissipation was analyzed.
Journal ArticleDOI
Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type fluid.
TL;DR: In this paper, a Lyapunov type functional constructed on the basis of thermodynamical arguments was used to investigate the finite amplitude stability of internal steady flows of viscoelastic fluids described by the Giesekus model.
Journal ArticleDOI
A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
M. T. de Araujo,Laison Junio da Silva Furlan,Analice Costacurta Brandi,Leandro Franco de Souza +3 more
TL;DR: In this paper , a semi-analytical method for laminar steady-state channel and pipe flows of viscoelastic fluids using the Linear Phan-Thien-Tanner (LPTT) constitutive equation, with solvent viscosity contribution, was presented.
Journal ArticleDOI
A method to solve the heat transfer problem for laminar flow of Phan-Tien-Tanner fluid in a flat channel
A I Kadyirov,E K Vachagina +1 more
TL;DR: In this paper, a solution to the heat transfer problem for a flow of a four-mode viscoelastic linear Phan-Tien Tanner fluid in flat channels at a constant wall temperature is presented.
Book ChapterDOI
Non-Newtonian and Viscoelastic Fluids
TL;DR: In this article, the authors focus on the various constitutive relations that became dominant over time because of their generality and/or their physical relevance, and propose a log-formulation for non-Newtonian and 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.
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.