Influence of external magnetic field on the viscosity of electrically conducting magnetic fluids

   Purpose. Theoretical study of an external magnetic field on the discontinuous and bulk viscosity of electrically conductive magnetic fluids.   Methods. The method of molecular kinetic theory is used, which, using kinetic methods for single-particle and two-particle distribution functions, allows one to determine transfer mechanisms in electrically conductive magnetic fluids.When constructing kinetic mathematical electrically conductive magnetic fluids as multicomponent systems in which non-magnetic and magnetic subsystems are independent, magnetic particles and the stabilizer substance closely interact with each other.   Results. Based on algorithms of expressions for the coefficients of shear and volumetric viscosity, the observed mechanisms of translational and structural relaxation processes, a series of calculations was carried out depending on thecoefficients of stepwise and volumetric viscosity from the results of external magnetic fields, the volumetric structure of magnetic particles and the calculation of measured values in electrically conductive magnetic fluids based on mercury and a eutectic alloy of Gallium and India. It is shown that with increasing external magnetic fields, the coefficients of shear and bulk viscosity in electrically conductive magnetic fluids increase nonlinearly. An increase in the volume of elements of magnetic particles also leads to a nonlinear increase in the coefficients of abrupt and bulk viscosity.   Conclusion. The given calculations of the coefficients of shear and bulk viscosity depending on the principle of international dependence indicate that the use of metal constants in electrically conductive magnetic fluids leads to a noticeable decrease in their viscosity. It is shown that the results obtained, in good agreement with literature data, can be used for further development of the theory of transfer processes of electrically conductive magnetic fluids.