It is ubiquitous, in some industrial and biological process, to confront a situation where fluid flows through another thin layer fluid, usually called a lubricant layer. Some of this can be found in living systems including red blood cells (RBC) flow patterns through narrow capillaries, flow of liquids in lungs and eyes etc. And in the machinery systems such as heating of fluids, coating of thin films, electrical seals and paints etc. It is necessary to deal with nonlinear differential equations with linear boundary conditions for stretching flow with no-slip. On the other hand, one needs to resolve nonlinear differential equations imposed on nonlinear boundary conditions for the boundary layer flow over a lubricated layer. Due to the nonlinearities the system become more complicated which results in getting analytic solutions very hard. In addition, the governing equations for non-Newtonian fluids have a higher order than the current boundary conditions and, in the stretching and stagnation point flows, the coefficient of the leading derivative disappears at the domain starting/initial point. As a consequence, numerical solution cannot be achieved through a generic integration scheme. Researchers have used various methods to deal with these difficulties. This inspires us to understand the movement of flow and heat over a lubricated layer of a nanofluid.