نتایج جستجو برای: fene modification

تعداد نتایج: 127540  

Journal: :Journal of Differential Equations 2021

In this paper we mainly investigate the inviscid limit for strong solutions of finite extensible nonlinear elastic (FENE) dumbbell model. By virtue Littlewood-Paley theory, first obtain a uniform estimate solution to FENE model with viscosity in Besov spaces. Moreover, show that data-to-solution map is continuous. Finally, prove converges Euler system couple Fokker-Planck equation. Furthermore,...

2012
NADER MASMOUDI

Abstract Systems coupling fluids and polymers are of great interest in many branches of sciences. One of the most classical models to describe them is the FENE (Finite Extensible Nonlinear Elastic) dumbbell model. We prove global existence of weak solutions to the FENE dumbbell model of polymeric flows. The main difficulty is the passage to the limit in a nonlinear term that has no obvious comp...

Journal: :Journal of Non-newtonian Fluid Mechanics 2021

The Oldroyd-B fluid has become the starting point for almost all complex flow calculations and analysis involving behavior of dilute polymer solutions. reasons this are clear: based on kinetic theory high molecular weight “phantom” chains near equilibrium, resulting model, in its simplest form, produces a single mode description solution constitutive equation terms symmetric dyad order paramete...

1999
David J. Knezevic Endre Süli

This paper is concerned with the analysis and implementation of spectral Galerkin methods for a class of Fokker–Planck equations that arises from the kinetic theory of dilute polymers. A relevant feature of the class of equations under consideration from the viewpoint of mathematical analysis and numerical approximation is the presence of an unbounded drift coefficient, involving a smooth conve...

Journal: :SIAM Journal of Applied Mathematics 2008
Chun Liu Hailiang Liu

We consider the microscopic equation of FENE (finite extensible nonlinear elasticity) models for polymeric fluids under a steady flow field. This paper will show for the underlying Fokker-Planck type of equations, any pre-assigned distribution on boundary will become redundant once the non-dimensional number Li := Hb kBT ≥ 2, where H is the elasticity constant, √ b is the maximum dumbbell exten...

2009
John W. Barrett Endre Süli JOHN W. BARRETT

This survey paper reviews recent developments concerning the existence of global weak solutions to Fokker–Planck equations with unbounded drift terms, and coupled Navier–Stokes–Fokker–Planck systems of partial differential equations, that arise in finitely extensible nonlinear elastic (FENE) type kinetic models of incompressible dilute polymeric fluids in the case of general noncorotational flow.

2005
Peter Wapperom Martien A. Hulsen

A method will be given to determine lower bounds for the invariants of a configuration tensor in 3D flows. For some well-known differential models these lower bounds will be given. Except for the Giesekus and the FENE-P model the lower bounds are the values in equilibrium.

Journal: :IMA Journal of Numerical Analysis 2017

2007
Nader Masmoudi

We prove global existence of weak solutions for the co-rotational FENE dumbbell model and the Doi model also called the Rod model. The proof is based on propagation of compactness, namely if we take a sequence of weak solutions which converges weakly and such that the initial data converges strongly then the weak limit is also a solution. To cite this article: A. Name1, A. Name2, C. R. Acad. Sc...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید