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The two-phase elector-osmotic (EoF) flow of a non-Newtonian fluid is the major focus of this article. Spherically homogenous metallic particles are considered to obtain a multiphase suspension. Third-grade fluid depicting non-Newtonian fluid characteristics is considered for the two-phase suspension through a divergent channel. A semi-analytic solution is obtained for the nonlinear flow dynamics which reveals that the third-grade fluid parameter enhances the inertial forces which result to increase the motion of each phase. However, the contribution of magnetic fields is quite opposite. Moreover, the obtained semi-analytical solution is in good agreement with the one reported in the literature.

Impact of nano metallic particles and magnetic force on multi-phase flow of third-grade fluid in divergent channel: analytical study