Two-phase fluid motion through porous medium with volume fraction: An application of MATLAB bvp4c solver technique

In this paper, we have attempted to study the steady two-dimensional hydromagnetic convective flow through porous medium and heat transfer effects. Fluid is containing dust particles and is moving under the influence of Lorentz, buoyancy, Darcy, and viscous forces. Motion is considered to be governed by the volume fraction of the dust grains and the increment of shear stress and rate of heat transfer at the surface has been analyzed. Governing equations of the problem are converted into ordinary differential equations utilizing similarity transformations. The converted differential equations are figured numerically using the MATLAB built-in technique bvp4c. The results are depicted in graphical forms for different values of the flow parameters. The findings are obtained considering the volume fraction and compared with the results of the previous paper. It is observed that the shear stress enhances with diminishing resistance and decreases for the higher values of the Hartmann number, permeability parameter, and volume fraction of the dust phase. Also, improving the Nusselt number gives a boost to thermal diffusivity.