Homogeneous flow field effect on the control of Maxwell materials
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The controllability of viscoelastic ﬁelds is a fundamental concept that deﬁnes some essential capabilities and limitations of the resulting materials. In this paper, we study the controllability of different homogeneous ﬂow ﬁelds of viscoelastic ﬂuids governed by the upper convected Maxwell model. The approach is largely based on the nonlinear geometric control theory. Through the analysis of the control Lie algebra, we ﬁnd the submanifolds in the state space on which the homogeneous ﬂow ﬁelds are weakly controllable. Our approach can be generalized to more complicated systems.
Journal of Non-Newtonian Fluid Mechanics, 150, 104-115, 2008The article of record as published may be found at http://dx.doi.org/10.1016/j.jnnfm.2007.10.015
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