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This article articulately performs a comparative analysis on multiphase flow through a steep channel. Intuitive non-Newtonian particulate suspension is constituted by using Casson fluid as the base liquid and tiny size gold particles. Gravitational and magnetic effects are taken into account by considering a uniform inclined channel. Heating effects at the boundary of the channel also contribute to the shear-thinning phenomenon. An exaction is obtained for two-phase fluid flow with heat transfer. In addition to, Casson-gold flow with heat transfer which is a non-Newtonian suspension of particulate flow is compared with Newtonian-gold particulate flow. It is found that magnetized Newtonian particulate suspension through the inclined channel is more prominent for it experiences less skin friction along with more shear-thinning effects. However, Casson fluid is found to be a very useful suspension for the process of coatings and fabrication, etc. Moreover, the magnetic field acts like a resistive force on the motion of both phases. More energy is added to the system due to strong viscous dissipation.
Hussain et al. (2021) studied this question.