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.

中文翻译：

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流体滑移的混合连续介质分子模型

微/纳米级固体输送机中流体系统的实验表明，违反了经典流体力学所采用的无滑移假设。为了校正流体滑移的这种力学，已经提出了各种方法来确定滑移边界条件。然而，这些方法揭示了各种系统的矛盾结果，并且关于流体滑过/不滑过固体表面的机制和条件的争论持续了很长时间。在本文中，我们建立了混合连续介质分子建模 (HCMM) 作为在过量流固分子相互作用影响下对流体滑移进行建模的通用方法。这种建模方法假定流体在有/无滑移的情况下流过固体表面，这取决于施加在流体上的脉冲与由于过量的流固分子相互作用引起的阻力之间的差异。在 HCMM 中，Navier-Stokes 方程针对多余的流固相互作用进行了校正。流体-固体相互作用的测量被纳入流体粘度。我们证明了通过滑动边界条件对流体力学的校正不是一种准确的方法，因为流固相互作用会在内部影响流体。为了显示所提出的 HCMM 的有效性，它用于纳米管中的水流。HCMM 通过与 90 多个不同流体系统的实验和分子动力学模拟的广泛比较得到验证。