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Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
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Generalized lattice Boltzmann model for frosting.

Timan Lei1, Kai H Luo1, Duan Wu2

  • 1Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom.

Physical Review. E
|June 20, 2019
PubMed
Summary

A new generalized lattice Boltzmann (LB) model simulates frost formation on surfaces. This model accurately captures complex heat and mass transfer processes, offering insights into frosting phenomena.

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Area of Science:

  • Multiphysics and Multiscale Modeling
  • Computational Fluid Dynamics
  • Heat and Mass Transfer

Background:

  • Frosting is a complex phenomenon involving phase change and transport processes.
  • Existing numerical methods face challenges in accurately simulating multiscale and multiphysics aspects of frosting.

Purpose of the Study:

  • To develop a generalized lattice Boltzmann (LB) model for simulating frosting of humid air.
  • To enable seamless simulation of phase change and transport in both porous frost layers and humid air.

Main Methods:

  • Developed a unified LB model with three LB equations for velocity, temperature, and humidity.
  • Treated the frost layer as a porous medium and humid air as a plain medium.
  • Validated the model using benchmark problems in conduction solidification, convection melting, and frosting.

Main Results:

  • The LB model successfully recovers macroscopic equations for frosting via Chapman-Enskog analysis.
  • Numerical results show good agreement with analytical and experimental solutions for benchmark cases.
  • Simulations of frost formation between parallel plates reveal influences of air velocity, humidity, and temperature.

Conclusions:

  • The generalized LB model provides a robust framework for simulating frosting phenomena.
  • The model accurately captures the interplay of fluid flow, heat, and mass transfer during frost formation.
  • This approach offers a valuable tool for understanding and predicting frost behavior in various engineering applications.