  Experiments on fluid systems in micro-/nano-scale solid conveyors have shown
a violation of the no-slip assumption that have been adopted by the classical
fluid mechanics. To correct this mechanics for the fluid slip, various
approaches have been proposed to determine the slip boundary conditions.
However, these approaches have revealed contradictory results for a variety of
systems, and a debate on the mechanisms and the conditions of the fluid
slip/no-slip past solid surfaces is sustained for a long time. In this paper,
we establish the hybrid continuum-molecular modeling (HCMM) as a general
approach of modeling the fluid slip flow under the influence of excess
fluid-solid molecular interactions. This modeling approach postulates that
fluids flow over solid surfaces with/without slip depending on the difference
between the applied impulse on the fluid and a drag due to the excess
fluid-solid molecular interactions. In the HCMM, the Navier-Stokes equations
are corrected for the excess fluid-solid interactions. Measures of the
fluid-solid interactions are incorporated into the fluid viscosity. We
demonstrate that the correction of the fluid mechanics by the slip boundary
conditions is not an accurate approach, as the fluid-solid interactions would
impact the fluid internally. To show the effectiveness of the proposed HCMM, it
is implemented for water flow in nanotubes. The HCMM is validated by an
extensive comparison with over 90 cases of experiments and molecular dynamics
simulations of different fluid systems. We foresee that the hybrid
continuum-molecular modeling of the fluid slip flow will find many important
implementations in fluid mechanics.
