Analysis of boundaey layer nanofluid flow over a stretching permeable wedge-shaped surface with magnetic effect

Abstract

The steady two-dimensional laminar magnetohydrodynamic boundary layer (MHD BL) nanofluid flow has been analyzed numerically surrounding the stretching permeable wedge-shaped surface by the coupled action of thermophoresis and Brownian motion. In this respect, the governing PDEs have been converted into ODEs and solved using Quasi-Linearization Method (QLM) with MATLAB bvp4c. The effects of the pertinent parameters, such as wedge angle parameter (β), Brownian motion (Nb), thermophoresis (Nt), magnetic strength (M), ratio of stretching parameter (ϵ), permeability parameter (K*), Prandtl number (Pr) and Lewis number (Le) have been analyzed on velocity profiles, energy profiles and mass profiles within the BL. The results of skin friction coefficient, rate of energy and concentration transfer, the velocity, thermal and mass profiles have been presented graphically and the numerical values are shown in table. The results depict that the velocity BL thickness increases for the values of β and ϵ but reduces for M and K*. The energy transfer rate enhances for β, ϵ, and Nb but decreases for Nt and M. The concentration transfer rate decreases for Nb and Nt but increases for β and ϵ. Finally, the numerical results have been compared with published work of other researchers and excellent agreement has been found.