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The problem of two phase bio-convective nano fluid flow past a vertical stretching flat surface in presence of volume fraction of the dust particles has been investigated. 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 using MATLAB built-in bvp4c solver scheme. The velocity, temperature of fluid motion and concentration of micro-organisms are presented graphically for various flow parameters. Coefficient of local skin friction, local Nusselt number and local density number of the micro-organisms are calculated and presented in tables for various parameters.

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.