Maragoni convection impact on magneto-nano fluid in porous medium

A laminar magnetohydrodynamic (MHD) forced convection two phase nanofluid model in porous medium is considered along with Marangoni convection. It is assumed that the surface tension varies linearly with both the temperature and concentration and that the interface temperature and concentration are quadratic functions of the interface arc length x. Numerical solutions for the velocity, temperature and concentration distributions are obtained by using Shooting method. Influences of the Marangoni ratio, Schmidt number, Brownian motion parameter, magnetic number and thermophoretic parameter on the hydrothermal characteristics are presented through graphs and tables. Results depict that the temperature increases with increase of Permeability of porous medium, the Schmidt number, Brownian motion, magnetic number and the thermophoretic parameters but it reduces with the rise of the Marangoni ratio.