In this book, flow and heat transfer of a Nano-fluid through a channel with various conditions such as channels with permeability and porosity in presence of magnetic field is studied. Furthermore, the unsteady flow and heat transfer over an unsteady stretching elastic sheet is carried out. Heat and mass transfer process of steady nanofluid flow between two parallel plates in existence of uniform magnetic field is examined. Analytical methods are applied to solve the governing nonlinear differential equations of the mentioned problems. It also attempts to demonstrate the reliability and accuracy of the analytical methods in comparison with a numerical method. Also, the impact of some physical parameters and dimensionless numbers on the flow, velocity and temperature profiles is scrutinized carefully.