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Abstract:
It is very important in
understanding the complicated behaviors of
electrorheological blood suspensions. The proteins and lipid bilayer
endow the blood cell surface with certain surface charges. These surface
charges attract counterions from the electrolyte to form a Debye layer
of charged liquid on the surface. Although this Debye layer is thin
(less than $100$ nm), the Lorentz force in the layer drives much of the
hydrodynamic flow responsible for the microstructure formations. The
effect of this thin boundary layer, together with the deformation of the
cell boundary, gives the interesting aggregate microstructures under the
external electric fields.
The basic hydrodynamical properties of the electrorheological fluids are
governed by the Ernest-Planck-Poisson equations. In this talk, I will
present an energetic variational approach to rederive the system. The
method reveals the underlining variational structure of the system which
is crucial for the analytical results as well as the numerical algorithms
we designed to simulate these systems.
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