Abstract
The coupled unsteady power-law conducting fluid flow and continuous dusty viscous fluid flow under the influence of magnetic field are solved using the finite difference method. The resistive forces of Darcy porous medium and the external uniform magnetic field are applied on the flow. The second-order accurate finite difference schemes are applied on the coupled governing equations to transform the non-linear partial differential equations to linearized system of algebraic equations. This system is solved iteratively using the generalized Thomas algorithm. Some results are introduced to study the convergence and stability of the present works. The effects of non-Newtonian fluid, continuous dusty particles, Darcy model on the velocity field, and friction factor of both the fluid and dust particles phases are demonstrated.
Highlights
The two-phase magnetohydrodynamic (MHD) fluid flow is very important in engineering applications such as aerodynamics equipment and MHD generators. The efficiency of these devices is affected by magnetic, Darcy resistance forces and dust particles
The high particle concentration leads to higher particle-phase viscous stresses and can be accounted for endowing the particle phase by the so-called particle-phase viscosity.[1,2,3,4,5]
Second-order accurate finite difference schemes are applied to solve the coupled non-linear differential equations of fluid and dust particles
Summary
The two-phase magnetohydrodynamic (MHD) fluid flow is very important in engineering applications such as aerodynamics equipment and MHD generators. Keywords Continuous dusty fluid, unsteady magnetohydrodynamic flow, non-Newtonian Darcy fluid, parallel plates, friction factor, finite difference method, generalized Thomas algorithm They used Laplace transform and finite difference method (FDM) to obtain velocities and skin friction factors for fluid as well as dust particles.
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