Recent advances in cooling, filtering, heat transfer, and other processes have all focused attention on fluid flow through porous media. During the flow partial slip becomes more important at wall surfaces in improvement of performance of various devices. In this regard, the governing equation has been presented for the flow of porous pipe with Navier slip in this study also non dimensionalisation has been done. Systems of equations The governing system was expressed to ordinary differential equations, thereafter a mathematical model for the flow of nanofluids was developed. Results are presented graphically of various parameters having different values on and discussed. It is found that the velocity and temperature during the flow is inversely proportional to Navier slip also in order to overcome skin friction there is a need to increase nanoparticles.

The flow of nanofluids through a porous medium is considered the optimum method for convective heat transfer. In this study, nanofluid flow in a porous pipe with Navier slip is investigated. Two water-based nanofluids, Copper (Cu) and alumina (Al2O3), were considered. The governing equation is presented and non-dimensionalization has been done for momentum and energy equations, initial and boundary conditions, skin friction, and Nusselt number. The governing system was simplified to ordinary differential equations, which were numerically solved and a mathematical model of nanofluid flow was formulated. The results, with regard to variations in various parameters such as temperature, velocity, skin friction, and Nusselt number, are presented graphically and discussed. It was found that the velocity during the flow decreases with the increase of the Navier slip.