Particle flow through a hydrophobic nanopore: Effect of long-ranged wall–fluid repulsion on transport coefficients

An analytical model for transport of rarefied non-isothermal gas in a cylinder with repulsive wall–gas interaction is developed, solving the stationary, collisionless Boltzmann equation. The results are compared to well-known ordinary Knudsen diffusion, and effect wall presented as correction factors results. Detailed physical interpretations given, showing how inhibits particle flow through cylinder, energy carried per affected, thus changing flux heat. It was shown that mobility thermal conductivity generally smaller presence such interactions heat transfer can even change sign under certain conditions. By latter statement, we mean isothermal conditions, or equivalently, driven by temperature gradient, switch direction due particle–wall repulsion.