Controllability of Non-Newtonian fluids under homogeneous flows

The ability to control a viscoelastic field is an essential concept that defines some important restrictions and potentials of the influenced material. This thesis investigates the controllability of three popular constitutive models under homogeneous extensional and shear flows via the Lie bracket method. The constitutive models are as follows: the Phan-Thien-Tanner model; the Johnson-Segalman model; and the Doi model. The effect of extensional flow on these models and the effect of shear flow on the Doi model have not been explored previous to this work. The main contribution of this thesis is to characterize the submanifolds in the state space on which the non-Newtonian flow fields are weakly controllable. This kind of approach based on the control Lie algebra can be applied to a wider variety of complex models.

Department dc:contributor.department

Applied Mathematics

Grantor dc:publisher

Monterey, California. Naval Postgraduate School

Year dc:date.issued

2007

Author dc:creator

• Wilson, Lynda M. Z.

Advisor dc:contributor.advisor

• Zhou, Hong

Statement dc:rights

• This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.

Handle dc:identifier.uri

https://hdl.handle.net/10945/3213

OAI identifier oai:identifier

oai:calhoun.nps.edu:10945/3213