Controllability of Non-Newtonian Fluids under Homogeneous Extensional Flow

摘要

In the discipline of non-Newtonian materials, the ability to control viscoelastic stresses is very desirable in ascertaining important properties of the influenced materials. We apply the nonlinear geometric control theory to examine the controllability of various popular constitutive models with imposed homogeneous extensional flow. The subsequent constitutive laws considered here include the Phan-Thien-Tanner model, the Johnson-Segalman model, the Giesekus model and the Doi model. This paper provides the first analysis on the effect of extensional flow on these models.