Revisiting Sampson's theory for hydrodynamic transport in ultrathin nanopores

Abstract

Sampson's theory for hydrodynamic resistance across a zero-length orifice was developed over a century ago. Although a powerful theory for entrance/exit resistance in nanopores, it lacks accuracy for relatively small-radius pores since it does not account for the molecular interface chemistry. Here, Sampson's theory is revisited for the finite slippage and interfacial viscosity variation near the pore wall. The corrected Sampson's theory can accurately predict the hydrodynamic resistance from molecular dynamics simulations of ultrathin nanopores.