Jm. Sun et R. Tao, VISCOSITY OF A ONE-COMPONENT POLARIZABLE FLUID, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(1), 1995, pp. 813-818
The viscosity of a one-component polarizable fluid in an electric fiel
d is studied by computer simulations. The fluid viscosity increases wi
th the field through three stages. In a weak field, the fluid remains
Newtonian, although its viscosity increases. At this stage, while drif
ting in the how direction, particles diffuse in the direction perpendi
cular to the how. In an intermediate electric field, the fluid has til
ted and broken chains moving with the flow and the fluid becomes non-N
ewtonian. The viscosity eta and the shear rate gamma over dot have the
relationship eta=eta(0)e(-gamma over dot tau), where tau is the relax
ation time and eta(0) is exponentially proportional to the dipolar int
eraction energy and the volume fraction. Ina strong electric held, the
fluid contains condensed chains that provide yield stress and hystere
sis.