The book provides a clear exposition of the fundamentals of fluid dynamics and mathematical modelling of nanofluid flow problems. In view of the applications of MHD, heat transfer in nanofluids an attempt has been made in this book to discuss some magnetohydrodynamic boundary layer flow of nanofluids over a stretching surface. The problems are formulated by adopting Tiwari and Das nanofluid model and Buongiorno nanofluid model. The effects of Lorentz force, radiation, viscous dissipation, velocity slip, volume fraction of nanoparticles, heat source, thermophoresis, Brownian motion, cross diffusion (Soret and Dufour effects) and chemical reaction are studied and discussed in detail.