The present paper shows comparisons between the molecular dynamics simulation (MDS) results and the flow factor approach model respectively for the Couette and Poiseuille flows of a confined fluid in the same nano channel. These two approaches both give the same local density profiles across the channel height respectively for the Couette and Poiseuille flows when the channel is fixed. It indicates a fixed non-continuum property of the confined fluid across the channel height for a given nano channel whenever the fluid is in the Couette or Poiseuille flows. The flow factor approach model correlates with the MDS results. (C) 2016 Elsevier Ltd. All rights reserved.