The recovery of polymer melts after shear and elongational flows

Borgbjerg, Ulrik; Pablo, Juan J. de; Öttinger, Hans Christian

doi:10.1063/1.468340

Cited by 10 publications

(13 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It has been used in its polydisperse generalization to describe the Weissenberg rod-climbing experiment by Lodge et al (1988) and recoil of polymer melts after cessation of shear and elongational flows by Borgbjerg & de Pablo (1994). It has been used in its polydisperse generalization to describe the Weissenberg rod-climbing experiment by Lodge et al (1988) and recoil of polymer melts after cessation of shear and elongational flows by Borgbjerg & de Pablo (1994).…”

Section: The Curtiss-bird Modelmentioning

confidence: 99%

Constitutive Equations for Polymeric Liquids

Bird¹,

Wiest²

1995

Annu. Rev. Fluid Mech.

230

103

View full text Add to dashboard Cite

Section: The Curtiss-bird Modelmentioning

confidence: 99%

Constitutive Equations for Polymeric Liquids

Bird¹,

Wiest²

1995

Annu. Rev. Fluid Mech.

230

103

View full text Add to dashboard Cite

“…Only recently have molecular models been used to study recovery flows, which occur in extrusion and other industrially important processes. Borgbjerg et al 2 have presented a Brownian dynamics study of recovery following simple steady shear flow in a parallel-plate geometry using the polymer melt kinetic theory of Curtiss and Bird. 3 These authors showed that the recovery predicted by the Curtiss-Bird model exhibits a maximum at high shear rates.…”

Section: Introductionmentioning

confidence: 99%

Combined Brownian Dynamics and Spectral Simulation of the Recovery of Polymeric Fluids after Shear Flow

et al. 1997

View full text Add to dashboard Cite

The constrained recovery of polymeric fluids following cessation of steady shear flow is studied using linear bead-spring chain models for dilute polymer solutions and the Curtiss-Bird model for polymer melts. Brownian dynamics simulation techniques are combined with a spectral method for solution of the continuum equation of motion. The shear stress required to solve the continuum equation is computed directly from ensemble averages over internal configurations of model molecules, thereby eliminating the need for a closed-form constitutive equation. Simultaneous solution of the equation of motion for actual fluid velocities obviates the linear velocity profile assumption used in previous studies of constrained recoil. For each of the models examined in the present work, a maximum was observed in the overall recovery with increasing steady-state shear rate. These maxima are an inherent consequence of the polymer models' shear thinning behavior but are more pronounced if the assumption of a linear velocity profile is relaxed.

show abstract

“…For polymer melts, the Curtiss-Bird model is used as a constitutive equation. The stochastic differential equations for the Curtiss-Bird model in a dimensionless form are described by (1), (2) …”

Section: Stochastic Approachmentioning

confidence: 99%

“…Moreover, the dynamics of mesoscale structures can be analyzed using the coupling of stochastic simulations and macroscopic flow computations. One of famous micro-macro approaches is CONNFFESSIT proposed byÖttinger et al (1), (2) .…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Extrusion Flows of Polymer Melts and Disclike Particle Suspensions Based on Stochastic Calculation of Their Mesoscale Structures

Shimizu

Yamamoto

2010

JFST

View full text Add to dashboard Cite

Flows of complex fluids in a single-screw extruder were numerically simulated using a coupling method of continuum-mechanics-based computations for macroscopic flows and stochastic simulations for fluid mesoscale structures and the advantage of micro-macro simulations for complex fluids was investigated. In the present study, flows of polymer melts and dilute suspensions of disclike particles were considered and a simple model for the extrusion flow in which the flow is approximated by a shallow channel flow, was adopted. In the simulation for polymer melts, the Curtiss-Bird model was applied to represent the dynamics of polymer networks. The orientation behavior of polymers was analyzed and its dependence on the Weissenberg number was investigated. In addition, a low-cost method for plotting the distribution of orientation angle of polymers was proposed. In this method, additional stochastic simulation was performed at a sampling point in the flow field. The dependence of orientation angle on the gap wise position in an extruder was captured in more detail by this method. In the simulation of suspensions of disclike particles, a disclike particle was modeled by an oblate spheroid, and the motion of particles was computed using the stochastic differential equation for orientation vectors of oblate spheroids. The orientation behavior of particles was analyzed to find that the present approach is effective also for the suspension flows.

show abstract

The recovery of polymer melts after shear and elongational flows

Cited by 10 publications

References 12 publications

Constitutive Equations for Polymeric Liquids

Constitutive Equations for Polymeric Liquids

Combined Brownian Dynamics and Spectral Simulation of the Recovery of Polymeric Fluids after Shear Flow

Numerical Simulation of Extrusion Flows of Polymer Melts and Disclike Particle Suspensions Based on Stochastic Calculation of Their Mesoscale Structures

Contact Info

Product

Resources

About