The mass flow rate of the Poiseuille flow through a nano channel was analytically studied for different wall surface patterns, by using the flow factor approach model. It was found that a weak wall fluid interaction enhances the mass transfer through a nano channel, while a strong wall fluid interaction otherwise degrades it. A very weak wall fluid interaction might be difficult to obtain for homogeneous wall surfaces, in this circumstance inhomogeneous wall surfaces are recommended for generating a significantly larger Poiseuille flow through the channel than normal homogeneous wall surfaces give. When taking inhomogeneous wall surfaces, the W-M and M-S types of the wall fluid interactions are recommended for generating the Poiseuille flow through the channel, and they respectively give the wall fluid interaction in the outlet zone of the channel considerably weaker than that in the inlet zone of the channel. It was also found that the increase of the tilting angle between the coupled wall surfaces can significantly increase the Poiseuille flow through a nano channel. (C) 2015 Elsevier Ltd. All rights reserved.