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<p>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.
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<br>Subjects: Nonlinear systems; Control theory; Viscoelasticity; Linear systems; Shear flow; Non-Newtonian fluids</div>
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Wilson, Lynda M. Z.</div>
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