Results 21 to 30 of about 186 (62)

On Maxwell fluid with relaxation time and viscosity depending on the pressure

, 2010
We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure.
Amos, Bridgman, Cathles, Ferry, Gwynllyw, Haskell, Hron, Ivins, K.R. Rajagopal, Love, Maxwell, McConnel, McConnel, McKinney, Neale, Polyanin, Rajagopal, Rajagopal, Rajagopal, Sahaphol, Satish Karra, Singh, Srinivasan, Stokes, Vít Průša, Weertman, Wolf, Wu   +27 more
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Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications [PDF]

, 2012
In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized Banach limit.
Chekroun, Micka ël D., Glatt-Holtz, Nathan E.   +1 more
core   +1 more source

Dynamics of chains grafted on solid wall during polymer melt extrusion [PDF]

, 2003
The objective of the present work is the mathematical modeling of the dynamics of polymer molecules grafted on a solid boundary during polymer melt extrusion.
Molenaar, J., Slot, J.J.M., Tchesnokov, M.A.   +2 more
core   +1 more source

The fully-implicit log-conformation formulation and its application to three-dimensional flows

, 2015
The stable and efficient numerical simulation of viscoelastic flows has been a constant struggle due to the High Weissenberg Number Problem. While the stability for macroscopic descriptions could be greatly enhanced by the log-conformation method as ...
Knechtges, Philipp
core   +1 more source

Blow-up criteria for compressible viscoelastic flows with general pressure laws

Advances in Nonlinear Analysis
We investigate the blow-up criteria of strong solutions to the Dirichlet and Cauchy problems for the compressible viscoelastic equations with vacuum in two and three dimensions, where a general class of pressure laws without monotonicity constraints is ...
Wang Yong, Yang Jianquan
doaj   +1 more source

Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid [PDF]

, 2015
A viscoelastic flow in a two-dimensional layer domain is considered. An L2-stability of the Poiseuille-type flow is established provided that both Poiseuille flow and perturbation is sufficiently small.
Endo, Masakazu, GIGA, YOSHIKAZU, Gotz, Dario, Liu, Chun   +3 more
core   +1 more source

Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions [PDF]

, 2013
In this work, depending on the relation between the Deborah, the Reynolds and the aspect ratio numbers, we formally derived shallow-water type systems starting from a micro-macro description for non-Newtonian fluids in a thin domain governed by an ...
Bresch, Didier, Narbona Reina, Gladys
core   +1 more source

Global generalized solutions for Maxwell-alpha and Euler-alpha equations

, 2011
We study initial-boundary value problems for the Lagrangian averaged alpha models for the equations of motion for the corotational Maxwell and inviscid fluids in 2D and 3D. We show existence of (global in time) dissipative solutions to these problems. We
Adams R A, Arsenio D Saint-Raymond L, Bardos K, Busuioc A V, Dmitry Vorotnikov, Duchon J, Evans L C, Filippov A F, Filippov A F, Guillopé C Saut J-C, Holm D D Kouranbaeva S Marsden J E Ratiu T Shkoller S, Larson R, Lions P-L, Lions P-L, Lions P-L, Reiner M, Reissig M, Renardy M, Surya Prasath V B Vorotnikov D, Temam R, Villani C, Vorotnikov D, Vorotnikov D   +22 more
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Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations [PDF]

, 2016
The original publication is available at www.esaimm2an.org.In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic flows. The three-field viscoelastic fluid flow
Castillo del Barrio, Ernesto, Codina, Ramon   +1 more
core   +3 more sources

Fully-implicit log-conformation formulation of constitutive laws

, 2014
Subject of this paper is the derivation of a new constitutive law in terms of the logarithm of the conformation tensor that can be used as a full substitute for the 2D governing equations of the Oldroyd-B, Giesekus and other models.
Behr, Marek, Elgeti, Stefanie, Knechtges, Philipp   +2 more
core   +1 more source