Unsteady aligned MHD boundary layer flow and heat transfer of magnetic nanofluid past a vertical flat plate with leading edge accretion

Abstract

A theoretical study has been done for the unsteady aligned MHD boundary layer flow as well as magnetic nanofluid's heat transfer through a vertical flat plate with leading edge accretion. For conventional base fluid, water and kerosene been used as they contain magnetite (Fe3O4) nanoparticles. Magnetic (Fe3O4) and non-magnetic (Al2O3) nanoparticles are compared as well. The governing partial differential equations are reduced into nonlinear ordinary differential equations through a suitable similarity transformation, where the Keller box method is used to solve numerically. Graphical and tabular results are discussed quantitatively in terms of the impact of pertinent parameters like magnetic parameter, M,magnetic field inclination angle, α, nanoparticles volume fraction,ϕ and thermal buoyancy parameter, λT,on the dimensionless velocity, skin friction coefficient, temperature and heat transfer rate. The outcomes indicate that the leading edge accretion can significantly alter the fluid motion and the heat transfer attributes.