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The numerical analysis of dusty nanofluid stream, on a stretching sheet in the existence of thermal radiation along with melting heat and slip condition, is carried out. The influence of different shapes of nanoparticle on the enhancement of transfer of heat, Nusselt number as well as skin friction coefficient in the flow problem has been discussed. The momentum and thermal boundary equations are derived for the considered problem. The partial differential equations are converted to ordinary differential equations on applying similarity transformations. Furthermore, the equations are simplified by the Runge–Kutta–Fehlberg method. The parameter study has been performed using plotted graphs for nanoparticles of sphere, needle and disc shape.

Slip and radiative flow of shape-dependent dusty nanofluid over a melting stretching sheet