Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

You searched for +publisher:"University of North Carolina" +contributor:("Choate, Eric P."). One record found.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


University of North Carolina

1. Choate, Eric P. Small amplitude oscillatory flows of nematic liquid crystal polymers.

Degree: Mathematics, 2007, University of North Carolina

This dissertation presents two theoretical predictions of the behavior of solutions of nematic liquid crystal polymers when subjected to small amplitude flows that are oscillatory in time. First, we review theoretical models for predicting the behavior of nematic liquid crystals, including Leslie-Ericksen theory, which only attempts to capture the mean direction of molecular orientation, and Doi-Hess kinetic theory, which defines a probability density function on the unit sphere for the molecular orientation and also the mesocscopic orientation tensor models derived from it, which are the models that we will examine. In Chapter 2, we examine shear flow in the monodomain limit, in which there are no spatial gradients in molecular orientation, and we use multiple timescale perturbation analysis to capture very slowly developing effects in the dynamic moduli, similar to experimental observations. Then, in Chapter 3, we relax the monodomain restriction and examine the effect of heterogeneity in the molecular orientation and the choice of two special anchoring conditions for the orientation at the plates. We re- cover a Leslie-Ericksen-type prediction, formally connect imposed stress and imposed velocity boundary conditions in shear flow, and establish an equivalence at the level of the storage and loss moduli between shear flow and Poiseuille flow. Advisors/Committee Members: Choate, Eric P., Forest, M. Gregory, University of North Carolina at Chapel Hill.

Subjects/Keywords: College of Arts and Sciences; Department of Mathematics

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Choate, E. P. (2007). Small amplitude oscillatory flows of nematic liquid crystal polymers. (Thesis). University of North Carolina. Retrieved from https://cdr.lib.unc.edu/record/uuid:844e8852-40d0-49ae-9818-7a56121c346b

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Choate, Eric P. “Small amplitude oscillatory flows of nematic liquid crystal polymers.” 2007. Thesis, University of North Carolina. Accessed November 27, 2020. https://cdr.lib.unc.edu/record/uuid:844e8852-40d0-49ae-9818-7a56121c346b.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Choate, Eric P. “Small amplitude oscillatory flows of nematic liquid crystal polymers.” 2007. Web. 27 Nov 2020.

Vancouver:

Choate EP. Small amplitude oscillatory flows of nematic liquid crystal polymers. [Internet] [Thesis]. University of North Carolina; 2007. [cited 2020 Nov 27]. Available from: https://cdr.lib.unc.edu/record/uuid:844e8852-40d0-49ae-9818-7a56121c346b.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Choate EP. Small amplitude oscillatory flows of nematic liquid crystal polymers. [Thesis]. University of North Carolina; 2007. Available from: https://cdr.lib.unc.edu/record/uuid:844e8852-40d0-49ae-9818-7a56121c346b

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.