Analytical Solution of Unsteady Boundary Layer Flow of a Nanofluid past a Stretching Inclined Sheet with Effects of Magnetic Field

Abstract

Flow of a nanofluid in a boundary layer in an inclined moving sheet at angle Θ is considered analytically. The Mathematical formulation consists of the Magnetic parameter, thermophoresis, and Brownian motion. Previously published work considered convective boundary condition. The present study considered an inclined stretching sheet at angle Θ in one dimension and considered thermal conditions of non convective heating and heat flux. Solutions to momentum, temperature and concentration distribution depends on seven parameters, Magnetic parameter M, Lewis number Le, Prandtl number Pr, thermophoresis parameter Nt, the Brownian motion parameter Nb, unsteady parameter c and Grashof numbers Gr and Gc. The non linear coupled Differential equations were solved using the improved Adomian decomposition method and a good agreement was established with the numerical method (Shooting technique). Analytical result is also presented graphically to illustrate the effect of the earlier listed parameters on Momentum, temperature and nanofraction boundary layers. Momentum boundary layer increases with increase in Grashof numbers, angle of inclination and unsteady parameter.