Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Poster II
DY 30.60: Poster
Donnerstag, 29. März 2007, 16:00–18:00, Poster D
Viscous behaviour of the nonlinear Maxwell model with a generalization for magnetorheological fluids. — •Bastian Arlt and Siegfried Hess — Institut für Theoretische Physik, Technische Universität Berlin, D-10623, Germany
A generalization of the Maxwell model where the relaxation is associated with a modification of the rheological model introduced by O. Hess, Ch. Goddard and S. Hess [1] is considered. The nonlinear Maxwell model equation involves the derivative of a potential function with respect to the stress tensor. In dependence on [1] where terms up to the 4th order were used, here an alternative potential with terms up to 6th order is studied. Furthermore, in order to treat the behaviour of dense magnetorheological fluids [2] additional terms associated with an applied magnetic field are taken into account [3]. Consequences of the model, in particular the shear stress, the first and second normal stress difference are presented for a plane Couette flow.
O. Hess, Ch. Goddard, S. Hess: From Shear-Thickening and Periodic Flow Behavior to Rheo-Chaos in Nonlinear Maxwell-Model Fluids, Physica A (2005), 31-54
H. See and R. Tanner: Shear rate dependence of the normal force of a magnetorheological suspension, Rheol. Acta 42 (2003) 166-170
H. M. Laun, C. Gabriel, G. Schmidt: Primary and secondary normal stress differences of a magnetorheological fluid (MRF) up to magnetic flux densities of 1 Tesla, to be published