RESPONSE OF MAGNETIC FIELDS IN ANNULAR PIPES UNDER THE INFLUENCE OF EXTERNAL MAGNETIC FIELDS

概要

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A phenomenological treatment is given for steady magnetic fluid flows in annular pipes in the presence of uniform external magnetic fields. It is found that the apparent viscosity of a dilute colloidal suspension of ferromagnetic particles is a marked function of both the magnitude and direction of an externally applied magnetic field. The experimental fact shown by McTague(1969) that the additional viscosity is greater by a factor of 2 for the field parallel to the flow than for the field perpendicular to the flow is theoretically explained. Analytical expressions are derived for the distributions of velocities and angular velocities of the magnetic fluid in annular pipes under the influence of the external field. The induced magnetization calculated here to the first order is skewsymmetric with respect to the plane through the center line of the pipe and perpendicular to the applied magnetic field.
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