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A steady two-phase fluid flow over a curved elongating sheet with dust particles has been scrutinized. Influence of volume fraction, applied magnetic field, buoyancy-driven force on the flow over a porous medium has been studied. Using similarity transformations, multivariable functions having partial derivatives in the problem for both fluid and dust phases are transmuted into ordinary differential equations. Then, emerging non-linear differential equations are formulated numerically by employing MATLAB built-in bvp4c solver scheme. Shapes of momentum, thermal and mass boundary layers have been shown by graphical forms for various values of flow parameters. Friction factor, heat and mass transfer rates are calculated and given in tabular forms.

A steady two-dimensional mixed convective multi-phase fluid (base fluid containing dust particles) flow past a vertical stretching cylinder in presence of volume fraction has been investigated. The surface of cylinder is embedded by porous medium in presence of non-uniform source/sink. Governing partial differential equations of the problem for both fluid and dust phases are converted into ordinary differential equations using similarity transformations. MATLAB built-in bvp4c solver technique is used to solve the resulting non-linear differential equations. The results are presented in graphical forms for various values of flow parameters.

The problem of time-dependent MHD dusty fluid flow past a vertical porous flat surface in the presence of volume fraction and thermal radiation is investigated. Also, the influence of exothermic/endothermic types of chemical reactions with the effect of Arrhenius activation energy on the flow is studied. Governing partial differential equations of the problem for both fluid and dust phases are transformed into ordinary differential equations using suitable similarity transformations. The resulting non-linear differential equations are solved numerically by using MATLAB built-in bvp4c solver technique. The results are computed for velocity, temperature and concentration profiles and presented in graphical forms for various values of flow parameters. Coefficient of skin friction, rate of heat and mass transfer are formulated and given in the table for various parameters.

Three-dimensional dusty fluid flow with volume fraction has been investigated in this paper. The presence of magnetic field and non-uniform heat source/sink is considered along with the flow over a stretching sheet enclosed in a porous medium. Using similarity transformation, the governing equations are transformed into ordinary differential equations. Matlab built-in solver Bvp4c has been used to solve the resulting non-linear ordinary differential equations. The effects of various parameters on the flow have been discussed and characteristics of heat transfer are determined. The results are shown using graphs and tables.