Analytical solution for Newtonian flow inside carbon nanotube taking into consideration van der Waals forces

In this paper, we study the flow of water inside a carbon nanotube of radius 20 Å taking into account the molecular interactions between water and the nanotube, and the slip boundary condition. Incompressible and Newtonian fluid is employed, and the radial, axial and slip velocities are derived analytically for an impermeable wall. Both radial and axial velocities are found to obey the prescribed boundary conditions, and the axial velocity and the flux turn out to be approximately sevenfold larger when the pressure generated by the tube entry is considered.