In clinical and medical research the magnets are extremely important to create three-dimensional images of anatomical and diagnostic importance from nuclear magnetic resonance signals. The steady MHD convective flow of viscous nano-fluid is brought about by a permeable exponentially extending surface has been discussed in this chapter. Water is considered as base fluid, while nanoparticles comprise Cu and Al2O3. Fluid is electrically conducting subject to applied magnetic field with constant strength. Similarity transformations, to an ordinary differential condition, minimise the non-linear partial differential equations governed the flow with convective boundary conditions. Convergence of the solutions is obtained. A parametric study of the physical parameters for velocity and temperature is carried out and the local shear stress and Nusselt number near plate are shown graphically along with a set of statistical results.