This article offers a comparative investigation for Newtonian and non-Newtonian multiphase flows drifting through an inclined channel. A non-Newtonian Jeffrey fluid is used as the base fluid. However, Hafnium particles and crystal particles are considered to form two different kinds of two-phase suspensions. Each flow comes under the influence of an external and transversely applied magnetic force. The effects of gravitational force have also been taken into account which is the main source of the supercritical flow. Flow dynamics are modeled with the help of Navier–Stokes. A closed-form solution is achieved by invoking the analytical technique subject to, no-slip condition at the boundary of the channel. A detailed parametric study, regarding the contribution of pertinent variables, is carried out in the graphical section. Furthermore, the obtained analytical and visual results have been vetted numerically through different tables, as well. The findings reveal that non-Newtonian biphase flows are more significant than Newtonian biphase flows. Similarly, Jeffrey fluid is much suitable for multiphase flows and Hafnium particle suspension with Jeffrey fluid is much better than the one obtained by the crystal-Jeffrey suspension. Finally, Hafnium suspends well with non-Newtonian fluid. Such alloys are more suitable for mechanical purposes, particularly for nuclear reactors as coolants. In addition to this, no comparative analysis between Newtonian and non-Newtonian multiphase flows has so far been reported in the existing literature.

中文翻译：

---

悬浮有铪和晶体颗粒的 Jeffrey 流体的 MHD 两相流：分析处理

本文对通过倾斜通道的牛顿和非牛顿多相流进行了比较研究。使用非牛顿杰弗里流体作为基础流体。然而，铪颗粒和晶体颗粒被认为形成两种不同类型的两相悬浮液。每个流动都受到外部横向施加的磁力的影响。还考虑了重力的影响，这是超临界流的主要来源。流体动力学是在纳维-斯托克斯的帮助下建模的。通过调用受通道边界无滑移条件影响的分析技术来实现封闭形式的解决方案。关于相关变量的贡献的详细参数研究在图形部分进行。此外，获得的分析和视觉结果也通过不同的表格进行了数字审查。研究结果表明，非牛顿双相流比牛顿双相流更重要。类似地，杰弗里流体非常适合多相流，杰弗里流体的铪颗粒悬浮液比晶体杰弗里悬浮液获得的悬浮液要好得多。最后，铪在非牛顿流体中能很好地悬浮。此类合金更适合机械用途，特别是用作核反应堆冷却剂。除此之外，现有文献中尚未报道牛顿多相流与非牛顿多相流的比较分析。