Flow behavior of an Eyring fluid in a nanotube: The effect of the slip boundary condition

The flow of an Eyring fluid in a nanotube is analyzed by using continuum mechanics. The results reveal that the Eyring fluid flows like a Newtonian fluid at small pressure gradient and a pluglike fluid at high pressure gradient. The flow rate of the Eyring fluid in the nanotube at high pressure gradient with the Navier slip condition is several orders of magnitude higher than the Hagen-Poiseuille result for the flow of Newtonian fluids in the nanotube. This trend is similar to the experimental results reported in literature, suggesting that the Eyring fluid can be used to model nanoscale fluid flow.