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 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 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..Keywords— Adomian Decompostion Method (ADM), Nanofluid, Inclined sheet, magnetic field effects, Numerical Method (NM).

Viscosity and Hall Effects on Unsteady MHD Casson Fluid Flow Through a Parallel Porous Plate

“…Ajibade and Bichi [1] investigated the variable fluid properties and thermal radiation effects on natural convection Couette flow through a vertical porous channel using the Adomian decomposition method (ADM) and maintained that both fluid velocity and its temperature within the channel were observed to increase with growing thermal radiation and decreases with increase in thermal conduction of the fluid. Yusuf et al [2] examined the boundary layer flow of a nanofluid in an inclined wavy wall with convective boundary condition. They observed fluid flow back at the wavy wall.…”