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Phase-field-based lattice Boltzmann model for simulating thermocapillary flows.

Lei Wang1, Kun He1, Huili Wang2

  • 1School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China.

Physical Review. E
|December 20, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a straightforward lattice Boltzmann model for simulating thermocapillary flows, accurately handling varying thermodynamic properties. The model simplifies calculations by avoiding complex derivatives, enhancing efficiency for fluid dynamics research.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics
  • Thermodynamics

Background:

  • Thermocapillary flows are crucial in microfluidics and material processing.
  • Existing lattice Boltzmann models struggle with significant contrasts in thermodynamic parameters.
  • Accurate simulation of these flows requires robust numerical methods.

Purpose of the Study:

  • To develop a simple and accurate lattice Boltzmann model for thermocapillary flows.
  • To effectively simulate flows with contrasting thermodynamic parameters.
  • To overcome limitations of previous models by simplifying the forcing term calculation.

Main Methods:

  • Utilized two lattice Boltzmann equations for Allen-Cahn and Navier-Stokes equations.
  • Employed a third lattice Boltzmann equation for the temperature field with a designed collision term.
  • Incorporated thermodynamic parameter contrasts directly into the thermal lattice Boltzmann equation.

Main Results:

  • Validated the model with thermocapillary flows in a heated microchannel.
  • Accurately simulated the thermocapillary migration of a deformable droplet.
  • Observed counter-intuitive bubble motion against bulk flow due to inertia-thermal effects.

Conclusions:

  • The proposed lattice Boltzmann model offers a simplified yet accurate approach for thermocapillary flows.
  • The model's straightforward design retains the advantages of the lattice Boltzmann method.
  • It provides a valuable tool for studying complex interfacial phenomena in microfluidic systems.