Thermophoresis and Brownian motion effect on chemically reacting MHD boundary layer slips flow of a nanofluid

Thermophoresis and Brownian motion effect on MHD laminar boundary slips flow of a viscous incompressible electrically conducting nanofluid over moving chemically reacting porous stretching sheet is studied numerically. The governing systems of partial differential equations are transformed into a system of ordinary differential equations using dimensionless similarity variables obtained by Lie group analysis. The transformed equations are solved numerically using Maple 13 which uses a fourth-fifth order Runge-Kutta-Fehlberg algorithm for solving nonlinear boundary value problems. This solution depends on Brownian motion Nb, thermophoresis Nt, momentum slip a, thermal slip b, magnetic field M, reaction parameter K, order of chemical reaction n, Prandtl number Pr and Lewis number Le. A representative set of results are displayed graphically to illustrate the effect of the governing parameters on the dimensionless axial velocity, temperature and the nanoparticle volume fraction. It is found that the rate of heat transfer decreases whereas the rate of nanoparticle volume fraction and the wall heat transfer accelerate with increase of Le and K. It is also found that the rate of heat transfer and the rate of nanoparticle volume fraction decrease whilst the wall heat transfer rises with the rising values of a and M. It is further noticed that the rate of heat transfer and wall heat transfer fall whereas the rate of nanoparticle volume fraction rises with rising of b. Good agreement is found between the numerical results of the present paper with the published results for the special case.