Numerical study of MHD two-phase Couette flow analysis for fluid-particle suspension between moving parallel plates

• Unsteady and steady MHD Couette flows between two parallel infinite plates are investigated.
• DQM numerical method is introduced as an efficient method for solving this problem.
• DTM analytical method is applied for steady state analysis.
• Parametric study of physical parameters is conducted.

In this study, steady and unsteady magneto-hydrodynamic (MHD) Couette flows between two parallel infinite plates have been studied through numerical Differential Quadrature Method (DQM) and analytical Differential Transformation Method (DTM), respectively. Coupled equations by taking the viscosity effect of the two phases for fixed and moving plates have been introduced. The precious contribution of the present study is introducing new, fast and efficient numerical and analytical methods in a two-phase MHD Couette fluid flow. Results are compared with those previously obtained by using Finite Difference Method (FDM). The velocity profiles of two phases are presented and a parametric study of physical parameters involved in the problem is conducted. As an outcome, when magnetic source is fixed relative to the moving plate, by increasing the Hartmann number, velocity profiles for both phases increased, but when it is fixed relative to the fluid an inverse treatment is observed.

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