Ev. Korobko et al., Calculation of the hydrodynamic characteristic of the ER-fluid in a plane channel-condenser for the exponential-law fluid flow, INT J MOD B, 15(6-7), 2001, pp. 996-1008
A historical survey is made of the works devoted to physico-mathematical mo
deling of transfer processes of the ER-fluids whose peculiarities an determ
ined by the regularities in changing the internal structure of a liquid car
rier in the presence of an electric field. The difficulties encountered in
the statement and complete solution of a system of the Maxwell equations an
d the motion equation of a fluid with complicated theology an discussed. Fo
r the first time the hydrodynamic characteristics (flow rare, pressure drop
, velocity profile) of an ER-fluid in a channel-condensor of the simplist f
orm, i.e. with a rectangular cross-section are calculated using the most co
mplicated phenomenological equation of state, i.e. having the exponential -
law dependence of shear stress on shear rate and applied electric field in
tensity. The relations obtained can he employed in designing the hydrodynam
ic systems in a wide range of flow velocities and electric-field intensitie
s.