Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
671547 | Journal of Non-Newtonian Fluid Mechanics | 2008 | 12 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
Hong Zhou, Wei Kang, Arthur Krener, Hongyun Wang,