Radiative flow of temperature-dependent viscosity power-law nanofluids over a truncated cone saturated heat generating, porous media: Impacts of Arrhenius energy

Abstract

In this paper, the coupled flow of the pseudo-plastic, dilatant/Newtonian nanofluids along truncated cones is treated using a set of non-similar solutions. The dynamic viscosity is assuming to be a variable and depending on flow region temperature. The non-Darcy model where the quadratic drag is significant is applied to formulate this situation and the medium's permeability is varied according to the modified Ostwald-de-Waele power law model. Both of the Arrhenius activation energy and non-linear radiation flux impacts are assumed. The converted system is treated using the effective finite differences analyses with Blottner scheme. The major outcomes disclosed that the temperature and nanoparticles distributions are higher in case of the pseudo-plastic nanofluids while the dilatant nanofluids types gives the higher rates of the heat and mass transfer. The Darcy flow case causes higher values of the Nusselt number comparing to the non-Darcy case. Further, presence of the activation energy supports the convective situation and enhances the Nusselt and Sherwood coefficient.

Keywords

• Power-law nanofluids
• Variable properties
• Non-Darcy model
• Ostwald-de-Waele model
• Arrhenius activation energy
• Blottner-FDM