Fluid flows can be found in nature and are broadly observed by those individuals who monitor nature. In nature, almost every fluid contains small particles which is why fluids in which solid spherical particles are distributed are named as dusty fluids. In many industrial processes nanofluids are required since they have the ability to enhance the thermal conductivity of the fluid. Accordingly, in this project we focus on the flow of dusty Nano fluid in a channel or on a continuously moving surface with linear and non-linear velocity of wall.