Method for determining the shear stress in cylindrical systems

Abstract

We develop a method for determining the elements of the pressure tensor at a radius r in a cylindrically symmetric system, analogous to the so-called ''method of planes'' used in planar systems @B. D. Todd, Denis J. Evans, and Peter J. Daivis, Phys. Rev. E 52, 1627 ~1995!#. We demonstrate its application in determining the radial shear stress dependence during molecular dynamics simulations of the forced flow of methane in cylindrical silica mesopores. Such expressions are useful for the examination of constitutive relations in the context of transport in confined systems.