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Improving the Functionality of Non-S...

Chen, Vickie,

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Improving the Functionality of Non-Stretching Approximations for Entangled Polymers /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Improving the Functionality of Non-Stretching Approximations for Entangled Polymers // Vickie Chen.
Author:	Chen, Vickie,
Description:	1 electronic resource (70 pages)
Notes:	Source: Masters Abstracts International, Volume: 86-09.
Contained By:	Masters Abstracts International86-09.
Subject:	Chemical engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31845224
ISBN:	9798310146990

Improving the Functionality of Non-Stretching Approximations for Entangled Polymers /
Chen, Vickie,

Improving the Functionality of Non-Stretching Approximations for Entangled Polymers /Vickie Chen. - 1 electronic resource (70 pages)

Source: Masters Abstracts International, Volume: 86-09.

Entangled polymers are an important class of materials for their toughness, processability, and functionalizability. During processing, deformation introduces elastic stresses due to a combination of polymer orientation and polymer stretching. For many flows, however, the elastic contribution from chain stretching is not significant, and so-called "non-stretching'' approximations have been developed to help explain and interpret experimental observations. Unfortunately, these non-stretching models tend to be limited to simple polymer formulations (linear, monodisperse), and are not useful for understanding any effects from marginal chain stretching that may be present. In this work, we show that non-stretching approximations can be formally constructed as a perturbation expansion starting from a fully-stretching constitutive equation. We apply this framework to the Rolie Poly model, deriving the existing non-stretching variation and expanding to second order. The second order continuation provides quantitatively improved accuracy for both steady and unsteady flows, and prevents a pathological/nonphysical blow-up that can occur when effects from marginal chain stretching are ignored. We also derive and discuss leading order non-stretching approximations for more complex models of entangled polymers, accounting for disentanglement dynamics, polydispersity, and reversible scission reactions. Overall, the second-order non-stretching RP model (nRP2) provides a more accurate perturbative description of entanglement effects, making it particularly useful for fitting nonlinear rheology data and studying chain stretching in LAOS flows.

English

ISBN: 9798310146990Subjects--Topical Terms:

560457
Chemical engineering.
Subjects--Index Terms:

Asymptotic analysis

Improving the Functionality of Non-Stretching Approximations for Entangled Polymers /
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245 1 0 $a Improving the Functionality of Non-Stretching Approximations for Entangled Polymers / $c Vickie Chen.
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500 $a Source: Masters Abstracts International, Volume: 86-09.
500 $a Advisors: Peterson, Joseph Committee members: Christofides, Panagiotis; Srivastava, Samavaya.
502 $b M.S. $c University of California, Los Angeles $d 2025.
520 $a Entangled polymers are an important class of materials for their toughness, processability, and functionalizability. During processing, deformation introduces elastic stresses due to a combination of polymer orientation and polymer stretching. For many flows, however, the elastic contribution from chain stretching is not significant, and so-called "non-stretching'' approximations have been developed to help explain and interpret experimental observations. Unfortunately, these non-stretching models tend to be limited to simple polymer formulations (linear, monodisperse), and are not useful for understanding any effects from marginal chain stretching that may be present. In this work, we show that non-stretching approximations can be formally constructed as a perturbation expansion starting from a fully-stretching constitutive equation. We apply this framework to the Rolie Poly model, deriving the existing non-stretching variation and expanding to second order. The second order continuation provides quantitatively improved accuracy for both steady and unsteady flows, and prevents a pathological/nonphysical blow-up that can occur when effects from marginal chain stretching are ignored. We also derive and discuss leading order non-stretching approximations for more complex models of entangled polymers, accounting for disentanglement dynamics, polydispersity, and reversible scission reactions. Overall, the second-order non-stretching RP model (nRP2) provides a more accurate perturbative description of entanglement effects, making it particularly useful for fitting nonlinear rheology data and studying chain stretching in LAOS flows.
546 $a English
590 $a School code: 0031
650 4 $a Chemical engineering. $3 560457
650 4 $a Polymer chemistry. $3 3173488
650 4 $a Molecular chemistry. $3 1071612
653 $a Asymptotic analysis
653 $a Constitutive relation
653 $a Entangled polymer
690 $a 0542
690 $a 0431
690 $a 0495
710 2 $a University of California, Los Angeles. $b Chemical Engineering 0294. $e degree granting institution. $3 3822425
720 1 $a Peterson, Joseph $e degree supervisor.
773 0 $t Masters Abstracts International $g 86-09.
790 $a 0031
791 $a M.S.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31845224