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A new model for fluid velocity slip on a solid surface.

Jian-Jun Shu1, Ji Bin Melvin Teo1, Weng Kong Chan1

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A new adsorption model explains fluid slip on surfaces, unifying gas and liquid behaviors. This dynamical adsorption model improves predictions for fluid slip velocity, especially for gases at higher shear rates.

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Area of Science:

  • Fluid dynamics
  • Surface science
  • Physical chemistry

Background:

  • Boundary slip phenomena are crucial in fluid dynamics.
  • Existing models for slip velocity often treat gases and liquids separately.
  • Understanding fluid-surface interactions is key to predicting slip.

Purpose of the Study:

  • To develop a general adsorption model for fluid-surface interactions.
  • To introduce a unified model for fluid slip velocity applicable to both gases and liquids.
  • To improve the theoretical modeling of boundary slip phenomena.

Main Methods:

  • Developed a general adsorption model based on surface science theory.
  • Introduced a new analytical model for slip velocity derived from the adsorption model.
  • Validated the model against experimental data from existing literature.

Main Results:

  • The proposed model successfully describes interactions between near-wall fluid molecules and solid surfaces.
  • A unified analytical model for slip velocity in both gas-solid and liquid-solid interfaces was established.
  • The model shows improved prediction accuracy for gases at higher shear rates and good agreement for liquid-solid interfaces.

Conclusions:

  • Dynamical adsorption processes are identified as the origin of slip velocity in both gases and liquids.
  • The unified model offers a more comprehensive approach to fluid slip boundary conditions.
  • The findings have implications for various applications involving fluid flow at interfaces.