Numerical simulation on double diffusion natural convection of a power-law nanofluid within double wavy cavity

Abstract

In the present paper, the effect of double diffusion natural convection fluid flow inside the double wavy enclosure using the mesh-free method is investigated. The enclosure is filled with nanofluid whose base fluid is non-Newtonian. The results are obtained for the variation in Brownian motion parameter (com.elsevier.xml.ani.Math@44f0660f), buoyancy ratio parameter (com.elsevier.xml.ani.Math@111fb0), power-law index (com.elsevier.xml.ani.Math@2d1faf50), thermophoresis parameter (com.elsevier.xml.ani.Math@2952bbb4), Rayleigh number (com.elsevier.xml.ani.Math@6e55708f), and Lewis number (com.elsevier.xml.ani.Math@66b10e6a) on mass and heat transfer. It is explored that the mass and heat transfer rate increases with increase in the Rayleigh number and buoyancy ratio. Heat transfer rate decreases with increase in the thermophoresis parameter, Lewis number, Brownian motion, and power-law index, whereas mass transfer rate increases. Such type of enclosure has direct application in heat exchanger devices, the double-wall thermal insulation system, and microelectronic devices. Parallel implementation with the hybrid [EFGM (element free Galerkin method)/FEM (finite element method)] method has been used for the reduction of the running cost to ensure efficiency, which is the novel contribution of the author.