MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption

A mathematical analysis has been carried out to investigate the effect of internal heat generation/absorption on steady two-dimensional radiative magnetohydrodynamics (MHD) boundary-layer flow of a viscous, incompressible nanofluid over a vertical plate. A system of governing nonlinear PDEs is converted into a set of nonlinear ODEs by suitable similarity transformations and then solved analytically using HAM and numerically by the fourth order Runge-Kutta integration scheme with shooting method. The effects of different controlling parameters on the dimensionless velocity, temperature and nanoparticle volume fraction profiles are discussed graphically. The reduced Nusslet number and the local Sherwood number are tabulated. It is found that the nanosolid volume fraction profile decreases in the presence of heat generation and increases in the case of heat absorption and a reverse trend is observed in velocity profile. An excellent agreement is observed between present analytical and numerical results. Furthermore, comparisons have been made with bench mark solutions for a special case and obtained a very good agreement.