A non-empirical gas slippage model for low to moderate Knudsen numbers

In this study, we present a novel derivation of the gas slip flow boundary condition within micro- and nano-flow channels. The newly derived boundary condition is of second order. Our model is based on the kinetic theory of gases. The slippage condition is obtained via the calculation of the shear stress in a confined micro-channel. We have benchmarked the mass transfer rate predicted by our model with existing numerical and physical experimental data, and the new model matches experiments within 10%.