“…In such flow situations, the Knudsen number (Kn = λ/H), which is the ratio of the mean free path (λ) to the characteristic length scale (H), plays a crucial role in governing the flow physics. For the case of a microchannel, the flow generally spans the slip (10 −3 < Kn < 10 −1 ) or transition (10 −1 < Kn < 10) regimes for which the well-known Navier-Stokes (N-S) equations based on the continuum formulation fail to predict the primary variables correctly (García-Colín, Velasco & Uribe 2008;Agrawal et al 2020). Further, several analytical and numerical studies have demonstrated that the N-S equations do not capture, even qualitatively, non-equilibrium phenomena occurring in the plane Couette and Poiseuille flows and lid-driven cavity problems in the slip flow regime (Tij & Santos 1994;Mansour, Baras & Garcia 1997;Zheng, Garcia & Alder 2002;Benzi, Gu & Emerson 2010, 2013.…”