Calculation of the hydrodynamic characteristic of the ER-fluid in a plane channel-condenser for the exponential-law fluid flow

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.