Revisiting Sampson’s theory for hydrodynamic transport in ultrathin nanopores

Phys. Rev. Research 2020, 2, 043153

Mohammad Heiranian, Amir Taqieddin, and Narayana R. Aluru


The abstract reads as follows: 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.

This work was supported as part of the Center for Enhanced Nanofluidic Transport (CENT), an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award No.DE-SC0019112.