### Chemically Reacting MHD Dusty Nanofluid Flow over a Vertical Cone with Non-Uniform Heat Source/Sink

#### Abstract

This paper comprehensively analyzes the momentum, heat and mass transfer behavior of a chemically reacting magnetohydrodynamic (MHD) nanofluid flow embedded with conducting dust particles past a cone in the presence of non-uniform heat source/sink, volume fractions of dust, and nanoparticles. We consider Cu-water and Al_{2}O_{3}-water nanofluids embedded with conducting dust particles for this study. The governing partial differential equations of the flow, heat, and mass transfer are transformed into nonlinear ordinary differential equations by using self similarity transformations, which are further solved numerically using the Runge-Kutta based Newton’s method. The effects of various non-dimensional governing parameters on velocity, temperature, and concentration profiles are discussed with the help of graphs. Furthermore, the effects of these parameters on skin friction coefficient, Nusselt numbers, and Sherwood numbers are also discussed and presented through tables. Moreover, it is found that an increase in the mass concentration of dust particles depreciates the velocity profiles of fluid and dust phases. It is also found that an increase in fluid particle interaction enhances the thermal conductivity of the flow.

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**Last updated:**26 October 2017