Cattaneo-Christov on heat and mass transfer of unsteady Eyring Powell dusty nanofluid over sheet with heat and mass flux conditions

•The influence of thermal relaxation is higher in fluid phase as compared with dust phase for both the PWT and PHF cases and prescribed heat flux case have higher heat transfer rate when compared with prescribed wall temperature case.•Due to domination of flux conditions the prescribed wall temperature case shows mixed behavior in heat and mass transfer rate.•The magnetic field shows mixed behavior in friction factor coefficient.•The impact of Brownian motion is lesser in PWT case when compared with PHF case.

Heat and mass flux conditions on magnetohydrodynamic unsteady Eyring-Powell dusty nanofluid over a sheet is addressed. The combined effect of Brownian motion and thermophoresis in nanofluid modeling are retained. The Cattaneo-Christov heat flux model is imposed. A set of similarity variables are utilized to form ordinary differential system from the prevailing partial differential equations. The problem of ordinary differential system (ODS) is analyzed numerically through Runge-Kutta based shooting method. Graphical results of pertinent parameters on the velocity, temperature and nanoparticle concentration are studied. Skin friction coefficient, local Nusselt and Sherwood number are also addressed with help of graphs and also validated the present solutions with already existing solutions in the form of table. It is found that the thermal relaxation parameter improves the heat transfer rate and minimizes the mass transfer rate. The heat transfer rate is higher in prescribed heat flux (PHF) case when compared with prescribed wall temperature (PWT) case.