NUMERICAL INVESTIGATION OF HEAT TRANSFER OF MHD NANOFLUID OVER A VERTICAL CONE DUE TO VISCOUS-OHMIC DISSIPATION AND SLIP BOUNDARY CONDITIONS

An analysis is made of heat transfer characteristics of Ag-water nanofluid flow towards a permeable vertical cone due to the ambiguity of thermal conductivity in the presence of magnetic force, viscous-ohmic dissipation, heat generation/absorption, and suction/blowing effects. Adequate transformations yield a nonlinear system of ODEs, and the fourth-fifth-order RKF technique with a shooting scheme is used to attain the solution of involved ODEs in cooperation with auxiliary boundary conditions. Two models of thermal conductivity of shape-dependent nanoparticles with dynamic viscosity are considered. The influence of the solid volume fraction on dimension-less skin friction and Nusselt number along with velocity slip, thermal slip, magnetic parameter, Eckert number, heat generation/absorption, and suction/blowing parameters are depicted by graphs and tables. The upshots show that an increment in the volume fraction of solid particles decreases the Nusselt number for each value of velocity slip, thermal slip, and magnetic parameter. Moreover, it is accelerated when injection shifts to the suction region for each value of solid volumetric fraction of silver nanoparticles in both models of thermal conductivity. The acquired data are compared with prior investigation, and excellent agreement is obtained.