Continuum modeling of micro-particle electrorotation in Couette and Poiseuille flows—The zero spin viscosity limit

Hsin-Fu Huang (1) , Markus Zahn (1) , Elisabeth Lemaire (2)

1 Laboratory for Electromagnetic and Electronic Systems, Research Laboratory of Electronics
2 LPMC - Laboratoire de physique de la matière condensée

A continuum mechanical model is presented to analyze the negative electrorheological responses of a particle-liquid mixture with the suspended micro-particles undergoing Quincke rotation for both Couette and Poiseuille flow geometries by combining particle electromechanics and continuum antisymmetric/couple stress analyses in the zero spin viscosity limit. We propose a phenomenological polarization relaxation model to incorporate both the micro-particle rotation speed and macrocontinuum spin velocity effects on the fluid polarization during non-equilibrium motion. Theoretical predictions of the Couette effective viscosity and Poiseuille flow rate obtained from the present continuum treatment are in good agreement with the experimental measurements reported in current literature.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Hsin-Fu Huang, Markus Zahn, Elisabeth Lemaire. Continuum modeling of micro-particle electrorotation in Couette and Poiseuille flows—The zero spin viscosity limit. Journal of Electrostatics, 2010, 68, pp.345-359. ⟨hal-00568675⟩