Back to Search
Start Over
Homogeneous flow field effect on the control of Maxwell materials
- Source :
-
Journal of Non-Newtonian Fluid Mechanics . Apr2008, Vol. 150 Issue 2/3, p104-115. 12p. - Publication Year :
- 2008
-
Abstract
- 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. [Copyright &y& Elsevier]
- Subjects :
- *MACHINE theory
*MATHEMATICAL analysis
*LINEAR algebra
*DIFFERENTIAL geometry
Subjects
Details
- Language :
- English
- ISSN :
- 03770257
- Volume :
- 150
- Issue :
- 2/3
- Database :
- Academic Search Index
- Journal :
- Journal of Non-Newtonian Fluid Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 31401043
- Full Text :
- https://doi.org/10.1016/j.jnnfm.2007.10.015