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Viscoelasticity at microscopic and m...

Yao, Lingxing.

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Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction./
Author:	Yao, Lingxing.
Description:	113 p.
Notes:	Advisers: M. Gregory Forest; Sorin M. Mitran.
Contained By:	Dissertation Abstracts International68-06B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3272772
ISBN:	9780549124467

Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction.
Yao, Lingxing.

Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction. - 113 p.

Advisers: M. Gregory Forest; Sorin M. Mitran.

Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2007.

In this dissertation, we build mathematical tools for applications to the transport properties of human lung mucus.

ISBN: 9780549124467Subjects--Topical Terms:

1018410
Applied Mechanics.

Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction.
LDR:03273nam 2200361 a 45 001 941781
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008 110519s2007 ||||||||||||||||| ||eng d
020 $a 9780549124467
035 $a (UMI)AAI3272772
035 $a AAI3272772
040 $a UMI $c UMI
100 1 $a Yao, Lingxing. $3 1265875
245 1 0 $a Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction.
300 $a 113 p.
500 $a Advisers: M. Gregory Forest; Sorin M. Mitran.
500 $a Source: Dissertation Abstracts International, Volume: 68-06, Section: B, page: 3835.
502 $a Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2007.
520 $a In this dissertation, we build mathematical tools for applications to the transport properties of human lung mucus.
520 $a The first subject is the microscopic diffusive transport of micron-scale particles in viscoelastic fluid. Inspired by the technique of passive microrheology, we model the motion of Brownian beads in general viscoelastic fluids by the generalized Langevin equation (GLE) with a memory kernel (the diffusive transport modulus). The GLE is a stochastic differential equation, which admits a discrete formulation as an autoregressive (AR) process. We further use exponential series for the memory kernel in the GLE, in which case the GLE has an explicit formulation as a vector Ornstein-Uhlenbeck process. In this framework, we can develop fast and accurate direct algorithm for pathogen transport in viscoelastic fluids, and the Kalman filter and maximum likelihood method give a new method for inversion of the memory kernel from experimental position time series. The framework is illustrated with multimode Rouse and Zimm chain models.
520 $a In the second topic, we revisit the classical oscillatory shear wave model of Ferry et al., and extend the theory for active microrheology of small volume samples of viscoelastic fluids. In Ferry's original setup, oscillatory motion of the bottom plate generates uni-directional shear waves propagating in the viscoelastic fluid. Our colleague David Hill built a device to handle small volume viscoelastic samples. We extend the Ferry analysis to include finite depth and wave reflection off the top plate. We further consider nonlinear viscoelastic constitutive laws.
520 $a The last problem considered is the numerical simulation of viscoelastic fluid flow, which will eventually be used to predict bulk transport of mucus layers. We start with the analysis of the system of model equations and demonstrate the difficulty of a robust numerical scheme. We develop an extension of projection method, which involves a new treatment of stress evolution based on stress splitting in the numerical scheme and show the advantage over previous work.
590 $a School code: 0153.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Mathematics. $3 515831
690 $a 0346
690 $a 0405
710 2 $a The University of North Carolina at Chapel Hill. $b Mathematics. $3 1265876
773 0 $t Dissertation Abstracts International $g 68-06B.
790 $a 0153
790 1 0 $a Elston, Timothy C. $e committee member
790 1 0 $a Forest, M. Gregory, $e advisor
790 1 0 $a McLaughlin, Richard M. $e committee member
790 1 0 $a Mitran, Sorin M., $e advisor
790 1 0 $a Zhou, Ruhai $e committee member
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3272772