Three dimensional rotating flow of Powell-Eyring nanofluid with non-Fourier’s heat flux and non-Fick’s mass flux theory

• Main Author: Wubshet Ibrahim
• Format: Article
• Language: English
• Published: Elsevier 2018-03-01
• Series: Results in Physics
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379717319794

This article numerically examines three dimensional boundary layer flow of a rotating Powell-Eyring nanofluid. In modeling heat transfer processes, non-Fourier heat flux theory and for mass transfer non-Fick’s mass flux theory are employed. This theory is recently re-initiated and it becomes the active research area to resolves some drawback associated with the famous Fourier heat flux and mass flux theory. The mathematical model of the flow problem is a system of non-linear partial differential equations which are obtained using the boundary layer analysis. The non-linear partial differential equations have been transformed into non-linear high order ordinary differential equations using similarity transformation. Employing bvp4c algorithm from matlab software routine, the numerical solution of the transformed ordinary differential equations is obtained. The governing equations are constrained by parameters such as rotation parameter λ, the non-Newtonian parameter N, dimensionless thermal relaxation and concentration relaxation parameters δt and δc. The impacts of these parameters have been discussed thoroughly and illustrated using graphs and tables. The findings show that thermal relaxation time δt reduces the thermal and concentration boundary layer thickness. Further, the results reveal that the rotational parameter λ has the effect of decreasing the velocity boundary layer thickness in both x and y directions. Further examination pinpoints that the skin friction coefficient along x-axis is an increasing and skin friction coefficient along y-axis is a decreasing function of rotation parameter λ. Furthermore, the non-Newtonian fluid parameter N has the characteristic of reducing the amount of local Nusselt numbers -f″(0) and -g″(0) both in x and y -directions. Keywords: Three dimensional flow, Powell-Eyring nanofluid, Rotating flow, Non-Fourier flux theory