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Updated: Sep 19, 2025

Characterization of Thermal Transport in One-dimensional Solid Materials
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Alternative multiple-relaxation-time lattice Boltzmann method for simulating conjugate heat transfer.

Yong Zhao1, Xinyue Liu2, Zhenyu Chen3

  • 1Changsha University of Science and Technology, School of Mathematics and Statistics, Changsha 410114, Hunan, China.

Physical Review. E
|June 19, 2025
PubMed
Summary

A new multiple-relaxation-time lattice Boltzmann (LB) scheme accurately simulates conjugate heat transfer. This LB method offers a versatile and accurate approach for complex thermal applications.

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Area of Science:

  • Computational physics
  • Thermodynamics
  • Fluid dynamics

Background:

  • Accurate simulation of conjugate heat transfer is crucial for various engineering applications.
  • Existing methods often face challenges with Galilean invariance and incorporating specific heat capacity effects.

Purpose of the Study:

  • To propose an alternative multiple-relaxation-time lattice Boltzmann (LB) scheme for conjugate heat transfer.
  • To ensure Galilean invariance by correctly deriving the energy governing equation and defining thermal boundary conditions.

Main Methods:

  • Derived the energy governing equation from the first law of thermodynamics.
  • Modified the temperature evolution equation to include specific heat capacity.
  • Treated the convection term as a source term calculated in moment space, avoiding finite difference methods.
  • Validated the model using benchmark problems and simulated heat transfer in random porous media.

Main Results:

  • The proposed LB scheme correctly handles conjugate heat transfer, ensuring Galilean invariance.
  • Numerical simulations demonstrated satisfactory accuracy and second-order spatial convergence.
  • The model successfully simulated complex heat transfer scenarios, including porous media cooling.

Conclusions:

  • The developed LB scheme provides a robust and accurate method for simulating conjugate heat transfer.
  • The model's versatility makes it suitable for a wide range of complex thermal engineering problems.
  • This approach preserves the advantages of LB methods while enhancing thermal simulation capabilities.